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, and incident waves.
u to change values used in
ute derived quantities from ntities to files, locate perations on the field
of tetrahedra and maximum
s provide a set of powerful ution. When you choose
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a Menua Commandsa/Edit Sourcesa/Functionsa/Calculatora/Solution Info
Data MenuUse the commands on the Data menu to:
• Scale the magnitude of ports, voltage and current sources• Define and edit math functions.• Modify the values of constant math functions, enabling yo
plots and computations without recalculating them. • Access the solution calculator. Use the calculator to comp
the general electric field solution; read and write field quamaximum and minimum field values, and perform other osolution.
• View information on the field solution, such as the numberand minimum tetrahedra volumes.
With the Geometry and Plot commands, the Data commandpost-processing tools that enable you to analyze the field solData, the following menu appears:
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voltage and current uency to use for post pro-n performed); and sets the post processing (if an inci-
field solution.nd edit existing ones.onstant functions and t use these functions. ables you to perform com-
t the field solution, such as number of tetrahedra, and tetrahedra inside individual
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Data CommandsThe commands on the Data menu are:
Edit Sources Scales the magnitude and phase of ports,sources, and incident waves; sets the freqcessing (if a fast frequency sweep has beefield type — scattered or total — to use fordent wave is present).
Functions Creates functions for use in analyzing the Edit Lets you define new functions aModify Lets you change the values of c
recompute any calculations thaCalculator Accesses the solution calculator, which en
putations using basic field quantities.Solution Info Displays various types of information abou
the type of solution that was computed, thethe maximum and minimum volumes of theobjects.
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nd current sources, and e the fields. Post Processor. You may
nt wave.
rces present in the problem.
ing one appears:
o scale from the Source
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Data/Edit SourcesUse Data/Edit Sources to:
• Scale the magnitude and set the phase of ports, voltage aincident waves. Set the frequency point at which to analyz
• Select which field — total or scattered — is used in the 3Donly select the field type if the problem contains an incide
The Data/Edit Sources window varies depending on the sou
> To edit the sources in a problem:1. Choose Data/Edit Sources. A window similar to the follow
2. Select the source whose magnitude and phase you wish tlist.
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in the Magnitude field.
t power in watts.ale the input signal
etry plane, use an input watt; if you have two to excite the full structure
s the solution’s E- and H-livers 1 watt of power.
positive value.itudes will be used. mind: specifies peak value
ove” them by setting erve the effects that e problem.
olts per meter.E-field and the total E-
is changes the phase of erally use zero. This h a way that, at ωt = 0,
r and phase. The new .
pecify the frequency to olved Frequency field. the field solution for the
problem.
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3. Enter the factor by which the value of the source is scaled• For ports, keep the following in mind:
• Source magnitude specifies time-averaged inciden• If you are using a symmetry plane, remember to sc
appropriately. For example, if you have one symmvalue of 0.5 watts to excite the full structure with 1symmetry planes, use an input value of 0.25 watts with 1 watt, and so forth.
• Generally, use the default value of 1. This specifiefields to be scaled such that the excitation wave de
• To view the solution at some other power, enter a • Only port-mode combinations with non-zero magn
• For voltage and current sources, keep the following in• Source magnitude for voltage and current sources
volts and peak value amperes, respectively.• If you have defined multiple sources, you can “rem
their Magnitude to 0. This allows you to easily obsindividual or specific groups of sources have on th
• For incident waves, keep in mind:• Source magnitude specifies peak value E-field in v• When you scale the incident E-field, the scattered
field are scaled as well. 4. Enter the new phase for the source in the Phase field. Th
the field by the number of degrees entered. For ports, genzero-phase solution results from excitations phased in sucpeak values occur at the port faces.
5. Choose Set after you have finished entering a scale factomagnitude and phase are assigned to the selected source
6. If you have performed a fast frequency sweep, you may suse in post processing. Enter the frequency to use in the SThe system uses the project’s rational function to computerequested frequency. This frequency applies to the entire
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ich form of port oltage source magnitude tively, by first selecting ay be specified.
es to zero. field types to use:
the problem or Cancel pe are defined once you em.
in the absence of the model.xists with the model present
ting the incident field from
al value of the source is sor, the original value of
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7. Select Modal Sources or Terminal Sources to define whexcitation to use. When you select Terminal Sources, a vand phase may be set for the highlighted terminal. Alternathe Terminated button, a complex reference impedance m
8. Optionally, choose Clear Sources to reset all source valu9. If an incident wave is present, select one of the following
10.Choose OK when you have finished editing the sources into cancel the changes. The specified frequency and field tychoose OK. You need not use the Set button to specify th
Incident Field The plane-wave field that would exist Total Field The physically measurable field that e
and a non-zero incident field.Scattered Field The differential field formed by subtrac
the total field.
Note: When scaling a source, keep in mind that the originnot changed. When you re-enter the 3D Post Procesthe source is loaded.
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rs:
tack to use the new field
r the existing plots or se the new field solution. ld solutions.
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11.After changing the sources, the following message appea
Do one of the following:• Choose Yes to update the existing plots or calculator s
solution.• Choose No to keep using the previous field solution fo
calculator stack contents. Any new plots created will uThis allows you to compare plots from two different fie
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th functions for use in ana-ds are available:
update values of variables
ession evaluator in the Max-
edit existing ones.omputations that use it. hanges.
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a Menua Commandsa/Edit Sourcesa/Functionsata/Functions/EditCommon FunctionsDefining a FunctionChanging a FunctionDeleting a Function
ata/Functions/Modifya/Calculatora/Solution Info
Data/FunctionsUse the Data/Functions commands to create and modify malyzing the results of a field simulation. The following comman
Data/Functions/EditChoose Data/Functions/Edit to:
• Calculate new values for mathematical expressions, and already assigned mathematical expressions.
• Maintain a list of commonly used functions and variables.
The expression evaluator that appears is identical to the exprwell Control Panel:
Edit Lets you define new variables and functions, andModify Lets you modify a variable’s value and redo any c
This lets you immediately see the effect of your c
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tical expressions:
degrees, and the inverse unction names are reserved
s sign. Function names lphanumeric characters
may not be redefined.t of the equals sign.
expression. n the following fields:
, - (Unary minus), << (left quals), > (greater than), < less than equals), & (bit- (1’s compliment), && (log-
abs, exp, pow, ln (natural e base 2), sqrt, floor, ceil, etween 0 and 1), deg, radsh, tanh
R must be entered in inates. PHI, THETA, and
(if applicable).
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a Menua Commandsa/Edit Sourcesa/Functionsata/Functions/EditCommon FunctionsDefining a FunctionChanging a FunctionDeleting a Function
ata/Functions/Modifya/Calculatora/Solution Info
Common FunctionsThe following legal functions may be used to define mathema
All trigonometric expressions expect their arguments to be intrigonometric functions’ return values are in degrees. These fand may not be used as variable names.
Defining a Function> In general, to define a function:
1. Enter the function name in the field to the left of the equalmust start with an alphabetic character, and may include aand the underscore. Note that pi is a built-in constant and
2. Enter the expression for the function in the field to the righ
3. Optionally, choose Datasets to define a piecewise linear 4. Choose Add or press Return. The function is then listed i
5. When you finish adding functions, choose Done.
Basic Functions
/, +, -, *, % (modulus), ** (exponentiation)shift), >> right shift, == (equals), != (not e(less than), >= (greater than equals), <= (wise and), | (bitwise or), ^ (bitwise xor), ~ical and), II (logical or), ! (factorial)
Intrinsic functions
if, sign (returns the sign of an argument),log), log (log to the base 10), lg (log to thround, rand (returns a random number b
Trigonometricexpressions
sin, cos, tan, asin, acos, atan, sinh, co
Note: The predefined variables X, Y, Z, PHI, THETA, and capital letters. X, Y, and Z are the rectangular coordR are the spherical coordinates.
Name Displays the name of the function.Value Displays the numeric value of the functionExpression Displays the function.
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her factors.
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a Menua Commandsa/Edit Sourcesa/Functionsata/Functions/EditCommon FunctionsDefining a FunctionChanging a FunctionDeleting a Function
ata/Functions/Modifya/Calculatora/Solution Info
Changing a Function> To modify an existing function:
1. Select the function.2. Change any variables, operators, intrinsic functions, or ot3. Choose Update.
The updated function appears.
Deleting a Function> To delete a function:
1. Select the function you wish to delete.2. Choose Delete.
The selected function is deleted.
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ll variables that were t command are listed. wing methods:le:
y number between its e Min and Max fields as current value.se the variable whose
les.
that have been ge the values of the pre-, or any function whose of a constant. Use the
iables and functions.
assigned to the variable equal to the variable’s cur-
assigned to the variable equal to zero.
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a Menua Commandsa/Edit Sourcesa/Functionsata/Functions/EditCommon FunctionsDefining a FunctionChanging a FunctionDeleting a Function
ata/Functions/ModifyModifying a Variable
a/Calculatora/Solution Info
Data/Functions/ModifyChoose Data/Functions/Modify to do the following:
• Change a variable’s numerical value. • Recompute any calculations that use that variable.
Modifying a Variable> To modify the value of a variable:
1. Choose Data/Functions/Modify. 2. Under Variables, select the variable you wish to modify. A
assigned a constant value using the Data/Functions/Edi3. Change the variable’s value using one or both of the follo
• Explicitly specify a new value and range for the variaba. Enter new values for the following:
b. Choose Set to accept these values. • Use the scroll bar to change the variable’s value to an
minimum and maximum values (which are set using thdescribed above). The Val field displays the variable’s
4. Choose Recalculate to recompute any calculations that uvalue you change.
5. Choose Done when you are finished modifying the variab
Note: This command can only be used to modify variablesassigned constant values. It cannot be used to chandefined variables X, Y, Z, PHI, R, RHO, and THETAvalue is given by a mathematical expression insteadData/Functions/Edit command to modify these var
Max The maximum numerical value that can bewhen using the scroll bars. Initially, this is rent value.
Min The minimum numerical value that can bewhen using the scroll bars. Initially, this is
Val The variable’s current numerical value.
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llowing window appears. To n it below.
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Data/Calculator Choose Data/Calculator to access the field calculator. The foview more information on a command or screen area, click o
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e is needed or is forced for a es and time. The result of ta storage of all the calcu-
ulations first, then plot the
ch can hold:
hich a field quantity is to be
load a basic field quantity egister, it can be:
, gradients, cross products,
tion region — either , and volumes that were
d quantities directly from the
utions.
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Data CalculationsThe calculator does not actually do the operations until a valuresult. This makes it more efficient, saving computing resourcthis is that you can do all the calculations without regard to dalated points of the field. It is generally easier to do all the calcresults.
The Calculator StackThe calculator is made up of a stack of registers, each of whi
• Field quantities such as the H-field or E-field.• Functional or constant scalars and vectors. • Geometries — points, lines, surfaces, or volumes — on w
evaluated.
To perform a computation on the field solution, you must firstinto a register on the stack. Once a quantity is loaded into a r
• Manipulated using mathematical operations such as curlsdivergences, and dot products.
• Integrated over lines, surfaces, or subvolumes of the solupredefined surfaces, volumes, and lists, or lines, surfacesdefined using the Geometry/Create commands.
• Plotted on a point, line, surface, or volume. Plotting derivecalculator lets you bypass the Plot/Field command.
• Exported to a file, allowing you to superimpose saved sol
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nd geometries. No registers fore, this part of the window ates new registers to hold
ind:
mands.
e the Read command.
ne of the following:
or its maximize button.
magnitude at each point in ntities are stored in the
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a Menua Commandsa/Edit Sourcesa/Functionsa/Calculatorata Calculationshe Calculator StackegistersEnlarging the Regis-ter Display Area
tack Commandsameegreesadiansputeneralcalarectorutput
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RegistersCalculator registers hold field quantities, numbers, vectors, aare created until you load something into the calculator; thereis initially blank. As items are loaded into the calculator, it crethem.
Each register is labeled with its contents as follows:
When examining calculator registers, keep the following in m
• To move or delete calculator registers, use the stack com• To save a register to a disk file, use the Write command.• To load a previously saved register into the calculator, us
Enlarging the Register Display Area> If there are too many registers to fit into the display area, do o
• Use the scroll bars to view the hidden registers. • Enlarge the calculator window using the window’s borders
Vec Vector quantities, which have both direction and space. The x-, y-, and z-components of these quaregister.
Scl Scalar quantities, which have a magnitude only.Cvc Complex vector quantities.Csc Complex scalar quantities.Pnt Points.Lin Lines.Srf Surfaces.Vol Volumes.SclLin Scalar value on a line.VecLine Vector value on a line.SclSrf Scalar value on a surface.VecSrf Vector value on a surface.
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lator stack.
ck, creating a new register.
ther registers down the
ther registers up the stack.
performed on the contents revious operations.
g a field quantity, con-ad, use the Pop or Clear r stack.
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Stack Commands Use these commands to manipulate the registers in the calcu
Push Reloads the quantity in the top register onto the top of the staThe contents of the top two registers are identical.
Pop Deletes the top register from the stack.
RlDn Rolls the bottom register to the top of the stack, moving the ostack.
RlUp Rolls the top register to the bottom of the stack, moving the o
Exch Exchanges the top two registers in the stack.
Clear Clears the contents of the stack.
Undo Use this command to undo the effect of the last operation youof the top register. Successive Undo commands act on any p
Note: You cannot undo a simple operation such as loadinstant, function, or geometry into the calculator. Instecommands to delete these items from the calculato
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Data
gister of the stack. It
calculator stack:
tities such as volume
.s between various units of
tities.
nds, general commands, e calculations can then be
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ata Calculationshe Calculator Stackegisterstack Commandsameegreesadiansputeneralcalarectorutput/Solution Info
NameThis command changes the name of the quantity in the top rereplaces the calculator’s representation of the quantity.
> To change the name of the quantity in the top register:1. Enter the new name in the Name field.2. Choose Enter.
DegreesChoose this to enter angles in degrees.
RadiansChoose this to enter angles in radians.
InputUse these commands to load the following onto the top of the
• Field quantities such as E and H and simple derived quancurrent.
• Geometries such as cutplanes, points, lines, and volumes• Predefined constants such as π, ε0, and conversion factor
measurement.• Vector and scalar constants, including complex numbers.• Vector and scalar math functions. • Previously saved calculator registers containing field quan
These quantities can be manipulated using the stack commascalar commands, and vector commands. The results of thesexamined using the output commands.
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asors in the Data Calculator r therefore implements the e either average or instanta-r conventions.The available
is to:
, surface, or volume. Plot/Field command. imum field point using the
Max/Position, or Min/Posi-
tplane command.eate/Surface List.ry/Create/Faces List.
e Box. etry/Create/Object
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QtyLoads a field quantity into the top register of the calculator. Phare peak phasors. The Poynting vector button in the calculatoPoynting vector for peak phasors. Calculations which computneous time domain quantities must adhere to the peak phasoquantities are:
GeomLoads a geometry into the top register of the calculator. Do th
• Find the value of derived field quantities on any point, line• Plot quantities directly from the calculator, bypassing the • Display a previously defined isosurface, maximum or min
Draw command.
The following types of geometries are available:
E The electric field, E.H The magnetic field, H. J The volume current, Jvol. Poynting The Poynting vector is defined as 0.5E x H*.
Point A point defined with the Geometry/Create/Point,tion commands.
Line A line defined using Geometry/Create/Line. Surface A surface such as:
• A plane defined with the Geometry/Create/Cu• An object surface defined using Geometry/Cr• A group of object faces defined using Geomet• A predefined surface. • An isosurface defined with the Iso command.
Volume A volume such as:• A box defined using Geometry/Create/Volum• A group of several objects defined using Geom
List. • A predefined volume or object list.
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ears. appears.
action.
of the calculator:
82 x 10–12 C2/Nm2. –7 Wb/Am. 8 x 108 m/s.
lved.rement. alculator: t. The following window
be converted.urrent units). units).
ctor or Cancel to stop
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> To load a geometry into the calculator:1. Choose the Geom button. The menu listed previously app2. Choose a geometry type. A list of all available geometries3. Select the geometry.4. Choose OK to load the geometry or Cancel to cancel the
ConstLoads one of these predefined constants into the top register
pi πEpsi0 The permittivity of free space, ε0 = 8.854187Mu0 The permeability of free space, µ0 = 4π x 10c The speed of light in vacuum, c = 2.9979245Frequency The frequency at which the problem was soConversion Constants
A conversion factor between units of measu> To enter a conversion constant into the c
1. Choose Const/Conversion Constanappears:
2. Select the quantity whose units are to3. Select the units to convert from (the c4. Select the units to convert to (the new5. Choose OK to load the conversion fa
the operation.
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tor:
e top register or Cancel
f the vector.e top register or Cancel
entered in the form f the constant and B repre-
ulator:
ents of the number.e top register or Cancel
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NumEnters one of the following into the top register of the calcula
Scalar A scalar constant. > To enter a constant scalar number:
1. Choose Num/Scalar.2. Enter the scalar value.3. Choose OK to load the number into th
to stop the operation. Vector A vector constant.
> To enter a constant vector:1. Choose Num/Vector.2. Enter the x-, y-, and z-components o3. Choose OK to load the vector into th
to stop the operation. Complex A complex constant. Complex constants are
C=A+jB, where A represents the real part osents the imaginary part.> To enter a complex number into the calc
1. Choose Num/Complex.2. Enter the real and imaginary compon3. Choose OK to load the number into th
to stop the operation.
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ions/Edit command prior to
tor:
Name field appears:
lar into the top register
vector’s x-, y-, and z-com-
Z fields appear.lect the function from
ctor into the top register
R, and PHI and any ions/Edit command or quantities. ange the value
w results for any
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FuncAny functions you use must be defined using the Data/Functusing this operation.
Enters one of the following into the top register of the calculaScalar A scalar function.
> To enter a function:1. Choose Func/Scalar. The Function2. Select the function from the menu.3. Choose OK to load the functional sca
or Cancel to stop the operation. Vector A vector function, in which the values of the
ponents are given by functions. > To enter a functional vector:
1. Choose Func/Vector. The X, Y, and2. For each component of the vector, se
the menu. 3. Choose OK to load the functional ve
or Cancel to stop the operation.
Note: Be aware of the following:• The predefined variables X, Y, Z, RHO, THETA,
functions that you created using the Data/Functcan be used to define functional scalar and vect
• Use the Data/Functions/Modify command to chassigned to a constant function and compute necalculations that use it.
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ommand to:
ssing session with the Write
ion).
lator. The name and direc-ents.
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ReadReads a register into the calculator from a disk file. Use this c
• Load registers that you saved during an earlier post-procecommand.
• Superimpose field solutions from different models. > To load a register into the calculator:
1. Choose Read.2. Use the file browser to select the register file (.reg extens3. Choose OK.
The contents of the file appear in the top register of the calcutory path of the register file is listed next to the register’s cont
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nd scalar quantities.
he second register. The two both vector). You cannot
second register. One of the an be either a scalar or a
he top register. The second ither a scalar or a vector.
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GeneralUse these commands to perform operations on both vector a
+ (Add)Adds the quantities in the top two registers of the calculator.
– (Subtract)Subtracts the quantity in the top register from the quantity in tregisters must hold the same type of quantity (both scalar or subtract a scalar from a vector (or vice versa).
* (Multiply) Multiplies the quantity in the top register by the quantity in thetwo registers must contain a scalar value; the other register cvector.
/ (Divide) Divides the quantity in the second register by the quantity in tregister must contain a scalar value; the top register can be e
NegChanges the sign of the quantity in the top register.
AbsTakes the absolute value of the quantity in the top register.
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in the top register. Complex r label. They can be repre-s of magnitude and phase:
r. If a complex number is – jB.
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CmplxThese commands perform operations on a complex quantity quantities are indicated by a C at the beginning of the registesented in terms of real and imaginary components, or in term
where:
• A is the real part of the complex number.• B is the imaginary part of the complex number.• M is its magnitude, which is equal to . • φ is its phase, which is equal to .
The Cmplx commands let you do the following:
RealTakes the real part of the complex quantity (A).
ImagTakes the imaginary part of the complex quantity (B).
CmplxMagTakes the magnitude of the complex quantity (M).
CmplxPhaseTakes the phase of the complex quantity (φ).
ConjTakes the complex conjugate of the quantity in the top registegiven by C = A + jB, its complex conjugate is given by C* = A
C A jB+ Mejφ= =
A2 B2+B A⁄( )atan
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ty is evaluated. These quan-.
illating, specified during the
that peaks at t=0).
e field’s magnitude at differ-
. k. ck.ified phase angle.
a complex number.
art of a complex number.
erical solution technique daries of the individual ele-es the values continuous. In
ωt θ x y z, ,( )+os
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a/Solution Info
AtPhaseLets you specify the phase angle, ωt, at which an field quantitities can be represented in the form
where
• ω is the angular frequency at which the quantities are oscsolution.
• θ(x,y,z) is the phase angle (the offset from a cosine wave
Entering the phase angle lets you compute the real part of thent points in its cycle.
> To enter a value for the phase angle:1. Select whether the angle is entered in degrees or radians2. Choose Qty to load a complex field quantity onto the stac3. Choose Num/Scalar to load the phase angle onto the sta4. Choose Cmplx/AtPhase to find the field value at the specCmplxRConverts the real scalar of the top register to the real part of
CmplxIConverts the real scalar of the top register to the imaginary p
SmoothSmooths the quantity in the top register. Because of the numused, field values are not always continuous across the bounments that make up the finite-element mesh. Smoothing makgeneral, use smoothing before plotting a quantity.
A x y z t, , ,( ) A x y z, ,( )c=
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tion requires the top two ield quantity.
ny necessary operations
plot to the intersection of a
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a/Solution Info
DomainThis limits a calculation to the volume you specify. This operaentries of the stack to be a volume geometry and a numeric f
> To do this:1. Load the field quantity into the top register, and perform a
on it. 2. Load the volume using the Geom/Volume command.3. Choose Domain.
The Domain command is often used to limit a calculation or surface and an object or group of objects.
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ties.
ent. Choose from the follow-
ulator.
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a/Solution Info
ScalarUse these commands to perform operations on scalar quanti
Vec?Makes the scalar quantity in the top register a vector componing:
1/x (Inverse)Takes the inverse of the scalar quantity in the top register.
PowerRaises a scalar quantity to the power you specify.
> To raise a scalar quantity to a power:1. Enter the quantity into the calculator. 2. Enter the exponent to which it is to be raised into the calc3. Choose Power. The results are displayed in the top register.
(Square Root) Takes the square root of the quantity in the top register.
VecX The x-component of a vector.VecY The y-component of a vector.VecZ The z-component of a vector.
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the top register of the cal-
respect to x. respect to y. respect to z.
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a/Solution Info
TrigTakes one of the following trigonometric values of the value inculator stack:
d/d? (Partial Derivative)Takes the partial derivative of the quantity in the top register:
Sin Sine.Cos Cosine.Tan Tangent.Asin Arcsine.Acos Arccosine.Atan Arctangent.Atan2 Arctangent squared.
d/dx Takes the partial derivative of the quantity with d/dy Takes the partial derivative of the quantity with d/dz Takes the partial derivative of the quantity with
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, or line. The top register in the scalar quantity to be
perform any required
, or volume over which
er the geometry.
ommand.
ty to be integrated (with e to load a geometry egrates the tangential or hich you computed its ormal.
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a/Solution Info
(Integral)Takes the integral of a scalar quantity over a volume, surfacemust contain a geometry and the second register must containtegrated.
> To perform an integration:1. Load a quantity into the top register of the calculator, and
operations on it. 2. Use one of the Geom commands to load the line, surface
the quantity is to be integrated.
3. Choose the command to integrate the scalar quantity ov
To find the numerical results of an integration, use the Eval c∇ (Gradient)
Takes the gradient of the scalar quantity in the top register.
Note: If you computed the tangent or normal of the quantithe Tangent or Normal commands), you do not havonto the calculator stack. The 3D Post Processor intnormal component of the quantity over the line on wtangent, or the surface on which you computed its n
∫
∫
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ional surface at which the . Once generated, an isos-rface.
and perform any ust be a scalar quantity.r command.
e its appearance, use the s in the field quantity before
of a field quantity, load a r using the Func/Scalar sosurface, use the Data/’s numerical value and
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a/Solution Info
IsoUse this command to create an isosurface — a three-dimensmagnitude of a scalar field quantity is a single, constant valueurface can be used in plots and calculations like any other su
> To create an isosurface:1. Load a field quantity into the top register of the calculator,
required operations on it. The result of your calculations m2. Load a constant into the top register using the Num/Scala3. Choose Iso.
To display an isosurface, use the Draw command. To improvSmooth command to “smooth out” mesh-based discontinuitiegenerating the isosurface.
Note: To view isosurfaces associated with different valuesconstant function onto the stack instead of a numbecommand. Then, after generating and drawing the iFunctions/Modify command to change the functionre-display the isosurface.
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urface, or volume. Two
ecessary operations on
y. Therefore, make sure that
antity, you must find the real tPhase commands. of the Geom commands.
ue on the geometry.s value occurs.
alue or the coordinates of
of the field. lue occurs. You can then: the Plot command. Plot/Field command.he Geom/Point
ometry/Modify/Point
a point has the same command.
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a/Solution Info
MaxComputes the maximum of a scalar field quantity on a line, soptions are available:
> To compute the maximum field value:1. Load a field quantity into the calculator, and perform any n
it. Keep the following in mind:• You cannot find the maximum value of a vector quantit
the result is a scalar. • Before computing the maximum value of a complex qu
part of the quantity using the Cmplx/Real or Cmplx/A2. Load a point, line, or volume into the calculator using one 3. Do one of the following:
• Choose Max/Value to compute the maximum field val• Choose Max/Position to identify the point at which thi
Use the Eval command to display the actual maximum field vthe point where it occurs.
Value Finds the magnitude of the maximum valuePosition Finds the point where the maximum field va
• Plot the maximum field at the point using• Plot field quantities at the point using the• Load the point into the calculator using t
command. • Change the point’s location using the Ge
command. Using the Max/Position command to defineeffect as using the Geometry/Create/Point
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rface, or volume. Two
ands. Use the Eval com-ates of the point where it
of the field. ue occurs. You can then: using the Plot
ing the Plot/Field
he Geom/Point
ometry/Modify/Point
a point has the same effect and.
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a/Solution Info
MinComputes the minimum of a scalar field quantity on a line, suoptions are available:
These commands operate in the same way as the Max commmand to display the actual minimum field value or the coordinoccurs.
Value Finds the magnitude of the minimum value Position Finds the point where the minimum field val
• Plot the minimum field value at the pointcommand.
• Plot basic field quantities at the point uscommand.
• Load the point into the calculator using tcommand.
• Change the point’s location using the Gecommand.
Using the Min/Position command to defineas using the Geometry/Create/Point comm
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ties.
hose value is a component
r by a material property. At the value of the selected each object into account.
terial property or Cancel
.
egisters.
ngular frequency is equal to which the solution was gen-
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a/Solution Info
VectorUse these commands to perform operations on vector quanti
Scal?Replaces the vector in the top register with a scalar quantity wof the vector. Choose from the following:
MatlMultiplies or divides the vector field quantity in the top registeeach tetrahedron, the field quantity is multiplied or divided bymaterial property — taking the different material attributes of
> To multiply or divide a vector quantity by a material property:1. Choose Matl. The Material Operation window appears.2. Select a material property. Available properties are:
3. Select an operation — Multiply or Divide.4. Choose OK to multiply or divide the field quantity by a ma
to stop the operation. Mag
Takes the magnitude of the vector quantity in the top register
DotTakes the dot product of the vector quantities in the top two r
ScalarX Returns the x-component of the vector. ScalarY Returns the y-component of the vector. ScalarZ Returns the z-component of the vector.
Permittivity (epsi) The relative permittivity, εr.Permeability (mu) The relative permeability, µr.Conductivity The conductivity, σ.Omega (w) The angular frequency, ω. The a
2πf, where f is the frequency at erated.
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registers.
.
g a line.
mand.
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a/Solution Info
CrossTakes the cross product of the vector quantities in the top two
DivgTakes the divergence of the vector quantity in the top register
CurlTakes the curl of the vector quantity in the top register.
TangentComputes the tangential component of a vector quantity alon
> To take the tangent of a vector:1. Load a vector quantity into the top register.2. Load a line into the top register using the Geom/Line com3. Choose Tangent.
Line
Vector quantity
Tangential Component
Magnitude
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rface such as a cutplane or t of the quantity with the sur-
ce command.
e following: in the top register of the
ce in the top register of the
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a/Solution Info
NormalComputes the normal component of a vector quantity on a suobject surface. This is the equivalent of taking the dot producface’s unit normal vector:
> To take the normal of a vector:1. Load a vector quantity into the top register.2. Load a surface into the top register using the Geom/Surfa3. Choose Normal.
Unit VecComputes the normal and tangent unit vectors. Select from th
Tangent Computes the unit vector tangent to the linecalculator stack.
Normal Computes the unit vector normal to the surfacalculator stack.
Normal A x y z, ,( ) n̂•=
Vector quantity
Surface
Normal Component
A(x,y,z)
Magnitude
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display geometries that are or minimum points) and
lume boxes).
om commands or define
g window appears:
d percent in the re behind the geometry reates a completely y transparent plot.
peration.
plots. Use the Plot/Modify e them invisible, and Plot/
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a/Solution Info
OutputUse these commands to output the data in the calculator.
DrawDraws the geometry in the top register. Use this command todefined with the calculator (such as isosurfaces and maximumthe Geometry/Create commands (such as cutplanes and vo
> To display a geometry:1. Load a geometry into the top register using one of the Ge
it using the Iso, Max, or Min commands.2. Choose Draw. The calculator disappears and the followin
3. Enter the plot name in the Name field.4. Enter a transparency factor between zero and one hundre
Transparency field. This determines whether items that aor already plotted on it are visible. A transparency of 0% copaque plot; a transparency of 100% creates a completel
5. Choose the color in which the geometry is drawn. 6. Choose OK to draw the geometry or Cancel to stop the o
The 3D Post Processor treats drawn geometries just like fieldcommand to change their appearance, Plot/Visibility to makDelete to delete them.
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face, or volume.
alculator, and perform
the real part of the quantity . ts, use the Smooth in the quantity to be plotted.urface, or volume on ernatively, define the
you to control the plot’s of the plot attributes:
el the operation.
lot basic field quantities antities such as current
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a/Solution Info
PlotPlots the contents of a calculator register on a point, line, sur
> To plot field quantities directly from the calculator:1. Load a numeric field quantity into the top register of the c
any required operations on it. Keep the following in mind:• Prior to plotting complex field quantities, you must take
using the Cmplx/Real or Cmplx/AtPhase commands• To improve the appearance of surface and volume plo
command to “smooth out” mesh-based discontinuities2. Use one of the Geom commands to load the point, line, s
which the quantity is to be plotted into the top register. Altgeometry using the Iso, Max, or Min commands.
3. Choose Plot. At this point, a window appears that allows appearance. Select one of the following for an explanation• Scalar Surface and Volume Plots• Vector Surface Plots• Scalar 3D Line Plots• Vector 3D Line Plots• Scalar Point Plots• Vector Point Plots
4. Set the appropriate plot attributes.5. Choose OK to plot the quantity or choose Cancel to canc
Note: As an alternative, use the Plot/Field command to psuch as the E-field or H-field and simple derived qudensity.
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ck. Animated plots from the k contains a geometry, and ometry or the numeric quan- function).
r stack. Make certain
ation plot variable
have in the animation. value as 5, and the whole value from 0 to 5.om the frames you just
try window appears.lot.
.
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AnimAnimates the plot of the geometry in the top register of the stafield calculator function only when the top register in the stacthe second register contains a numeric quantity. Either the getity must be associated with a variable (for example, a scalar
> To animate the geometry:1. Load a geometry and a numeric quantity into the calculato
that the geometry is in the top register.2. Choose Anim from the field calculator. The Set the anim
window appears.3. Select the variable you wish to vary during the animation.4. Enter the Start value of the variable.5. Enter the Stop value of the variable.6. In the Delta field, enter the value of the steps you wish to
For example, if you define your Start value as 0, the StopDelta value as 1, the animation will show frames for each
7. Select Make movie to create a movie for the animation frcreated.
8. Choose OK to accept the variable setup. A scalar geome9. Specify the settings you wish to assign for the animated p10.Choose OK. The Animation Plots window appears.11.Create any additional frames you wish to add to the movie12.Choose Make Movie to play the movie of the animation.
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calculator register. The t be a line.
and perform any
calar quantity. the real part of the quantity
.e quantity is to be plotted
trol the appearance of a
el the operation.
o find:
that point.
ny needed operations on
eom/Point command.
ommand.
enerate “value vs. dis-gnitude of the E-field or
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a/Solution Info
2D PlotThis generates a “value vs. distance” plot of the contents of aquantity to be plotted must be a scalar and the geometry mus
> To generate a value vs. distance plot:1. Load a field quantity into the top register of the calculator,
required operations on it. Keep in mind:• You can only generate a value vs. distance plot of a s• Prior to plotting complex field quantities, you must take
using the Cmplx/Real or Cmplx/AtPhase commands2. Use the Geom/Line command to load the line on which th
into the top register.3. Choose 2D Plot. A window appears that allows you to con
scalar 2D line plot.4. Set the appropriate plot attributes.5. Choose OK to plot the quantity or choose Cancel to canc
ValueThis computes the value of a field quantity at a point. Use it t
• The magnitude of a scalar field quantity at that point.• The x-, y-, and z-components of a vector field quantity at
> To find the value of a field quantity at a point:1. Load the field quantity into the top register, and perform a
it.2. Load the appropriate point into the calculator using the G3. Choose Value.
To view the numerical results of this operation, use the Eval c
Note: As an alternative, use the Plot/Field command to gtance” plots of basic field quantities such as the maderived quantities such as current density.
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perations such as integra-t points, and so forth. The
l command computes the of the register.
erically evaluate the follow-
e the real part of H to obtain ain the imaginary part of I.
d. Create the loop, a ate/Line command..
pears in the top register. with the Cmplx/Imag
this command to:
ion. They can be loaded
rent model.
directory path. A .reg
d.
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EvalNumerically evaluates and displays the results of calculator otions, maximum or minimum field computations, field values aquantity to be evaluated must be in the top register. The Evanumerical results of the operation, which replace the contents
For instance, to find the current around a loop, you must numing integral for that loop: .
Since H and I are complex quantities, you will need to evaluatthe real part of I, then evaluate the imaginary part of H to obt
> To do this:1. Load H into the calculator using the Qty command. 2. Take the real part of H using the Cmplx/Real command.3. Load the rectangular loop using the Geom/Line comman
closed polyline, to integrate over using the Geometry/Cre4. Choose Tangent to get the component of H along the line5. Take the integral around the loop using the command. 6. Choose Eval to evaluate the integral. The real part of I ap7. Repeat this process using the imaginary part of H (found
command) to obtain the imaginary part of I.Write
This saves the contents of the top register to a disk file. Use
• Save registers for use during a later post-processing sessback into the calculator via the Read command.
• Save a field quantity for use when post processing a diffe> To save a register:
1. Choose Write.2. Use the file browser to specify the register’s file name and
extension is automatically assigned to register files.3. Choose OK.
The contents of the file are then saved to the file you specifie
I H ld•∫°=
∫
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it to a grid of points. Use this by other modeling or post-
oints.
erations on it.
ontaining the points on the name of the file and file (.pts extension).e saved in the Output
he file name. Use the file extension is
and save or Cancel to
oints. Before using this com-ts.artesian grid. You specify y, and z directions.
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ExportExports the field quantity in the top register to a file, mapping command to save field quantities in a format that can be readprocessing software packages. Two options are available:
Export/To FileMaps the quantity in the top register to a customized grid of p
> To export a field quantity to a customized grid:1. Create a file containing the grid points.2. Load the quantity into the top register, and perform any op3. Choose Export/To File. The following window appears:
4. In the Points File Name field, enter the name of the file cwhich the field is to be mapped. Alternatively, you can typeclick on the file icon. Use the file browser to find the point
5. Enter the name of the file in which the field quantity is to bFile Name field. Again, you can use the file icon to enter tbrowser to specify the file name and directory path. A .regautomatically assigned to these files.
6. Choose OK to map the field quantity to the specified grid cancel the action.
To File Maps the field quantity to a customized grid of pmand, you must create a file containing the poin
On Grid Maps the field quantity to a three-dimensional cthe dimensions and spacing of the grid in the x,
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artesian grid.
r, and perform any
:
e saved in the Output and use the file browser on is automatically
n.
file you specified.
grid. grid.
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a/Solution Info
Export/On GridMaps the quantity in the top register to a three-dimensional c
> To export to a grid:1. Load the field quantity into the top register of the calculato
required operations on it. 2. Choose Export/On Grid. The following window appears:
3. For each grid dimension (X, Y, and Z), enter the following
4. Enter the name of the file in which the field quantity is to bFile Name field. Alternatively, you can click on the file iconto specify the file name and directory path. A .reg extensiassigned to these files.
5. Choose OK to export the file or Cancel to cancel the actio
The field quantity is then mapped to the grid and saved to the
Minimum The minimum x-, y-, or z-coordinate of theMaximum The maximum x-, y-, or z-coordinate of theSpacing The distance between grid points.
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TMRSOTTMM
about the field solution:
n.
etrahedra in each object.
nd. Click on the fields that
rmation, choose OK to close
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a Menua Commandsa/Edit Sourcesa/Functionsa/Calculatora/Solution Infoypeesh Sizeegion Extentsolution Extentsbject Name
etrahedraotal Volumein Tet Volumeax Tet Volume
Data/Solution InfoChoose Data/Solution Info to view the following information
• The type of solution that was computed.• The size of the finite element mesh and the solution regio• The volume of each object.• The number, minimum volume and maximum volume of t
The following window appears when you choose this commayou would like to view more information about.
After you have chosen this command to view the solution infothe window.
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TMRSOTTMM
uency at which it was com-
e meshing region.
e problem region.
und object.
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a Menua Commandsa/Edit Sourcesa/Functionsa/Calculatora/Solution Infoypeesh Sizeegion Extentsolution Extentsbject Nameetrahedraotal Volumein Tet Volumeax Tet Volume
TypeThe type of field solution computed for the model and the freqputed.
Mesh SizeThe number of tetrahedra in the finite element mesh.
Region ExtentsThe coordinates of the upper-left and lower-right corners of th
Solution ExtentsThe coordinates of the upper-left and lower-right corners of th
Object NameThe name of each object in the model, including the backgro
TetrahedraThe number of tetrahedra in each object.
Total VolumeThe volume of each object.
Min Tet VolumeThe volume of the smallest tetrahedron in each object.
Max Tet VolumeThe volume of the largest tetrahedron in each object.
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