01microwave experiments1-4

48
 !"# $ %&$$'(&)* +),-&)*.#  /'0 12345* +3(-"67  !"#!  $%&'()  '!*+  % , 1 : -'#./0  12 345%'6/ ................................ ................................ ................................ ............................... 17  1 - 1 -  78'9 :% ;'<(/0  ................................ ................................ ................................ ................. 2 3  1 - 2 -  '.=%0  >0?!0  ................................ ................................ ................................ ................. 2 3  1 - 3 -  "%"5)  ................................ ................................ ................................ ................................ ..............  1 - 4 -  $@(A)  ................................ ................................ ................................ ................................ ..............  1 - 5 -  12 2 / λ  3!&?B=/03)  C0?DE F 1 : 1  ................................ ................................ ................................ .........  '!*+  % , 2 : 7/0"G!0  H IJ'K >?! LM=/  N3@O  P*0"/0 ................................ ................................ ...............................  2 - 1 -  N3@O  P*0"/0 SWR  Q@KH  F   2 &0"R'<S 1 Slotted Line ................................ ................................ ......  2 - 2 -  T6@D@! C'<! 3@@U)  VH& 'F 7/0"G!0  N3@O  P*0"/0 ................................ ................................ ....................  '!*+  % , 3 : P*0"/0 LWX N'Y3Q9?J  Z[  9 :6J  F *'RH D!0]  N3@O &0] ................................ ................................ ... 3 1  '^^!*+   % , 4 : '^ ^Y3 MX? ! '^^! -'^^(R3@_ 0`^^X0 H  % HH3<  % ? H P*0"^^/0 aO"^^DJ039 N'^^Y3.!0&'9  N3^^@O  ) Scattering Parameters ( 'W/+  ................................ ................................ ................................ ................................ ......... 3 4  4 - 1 -  aQ@b.=!  3MX?!  ................................ ................................ ................................ ................. 3 4  4 - 2 -  c?WB! aO"DJ039 N'Y3.!0&'9  ................................ ..................... Error! Bookmark not defined.  4 - 3 -  P*0"/0  VH& N&?ME LR0  N3@O ( )  Loss  Insertion $@(A)  *0 P]'B.K0 'F "DDJ P 3@U.! Error! Bookmark not defined.  '!*+  % , 5 : 0 P*0"/ 'Y I./+  d'ef5! N3@O ................................ ................. Error! Bookmark not defined.  5 - 1 -  P*0"/0 Qg'R h=i 3F  aM=/ C0?) N3@O ................................ ... Error! Bookmark not defined.  5 - 2 -   MK'j!  P"5.R'%&]  aM=/  C0?) *0  P3WF ................................ ..... Error! Bookmark not defined.  5 - 3 -  P*0"/0 ]&0"/'.K0  I./+  VH& 'F  P3WF N3@O ................................ .. Error! Bookmark not defined.  5 - 4 -  P*0"/0  jBg &] (S0  N'DW9 H a(5(5)  &0]?6/  N3@O  a#R0 .. Error! Bookmark not defined.  5 - 5 -   MK'j!  I./+  3k?! lbK  ................................ ..................... Error! Bookmark not defined.  5 - 6 -  7<(D! 'F  I./+ "DDJ P S?O N0 ................................ ................................ ................................ ...................  '!*+  % , 6 : P*0"/0 '! N'W=/'J3R  &] &'F m'Mb/0  H 7/0"G!0  N3@O  % HH3<  % ? . Error! Bookmark not defined.  '^!*+  % , 7 : P* 0" ^ ^/ 0 0`^X0  d' ^ ^e f5! N3^ ^@ O  '^ ^!  % HH3<  % ? P"^SH&'X 7/ ' ^ ^J3 R VH& '^^F (Swept Frequency Technique)  ................................ ................................ ........... Error! Bookmark not defined.  7 - 1 -  P*0"/0 N&?ME d'BQ)  N3@O ( )  Loss  Insertion ................................ ................................ ..........................  7 - 2 -  P*0"/0  5O3F d'BQ)  N3@O a. ( )  Loss turn Re ................................ ................................ ...........................  '!*+  % , 8 : n@Mb)  &0"! ai03o  Error! Bookmark not defined.  '!*+  % , 11 : P*0"/0  O  @ 3 N I./+  C3.9 ................................ ............................ Error! Bookmark not defined.  1 1 - 1 -  aMbpH]  I./+  Error! Bookmark not defined.  

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1: ............................................................................................................................... 71 ................................................................................................................. 32 1-1- 1-2- 1-3- 1-4- 1-5- ................................................................................................................. 32 .............................................................................................................................................. ..............................................................................................................................................

2 / 1 : 1 .........................................................................................................

2: ............................................................................................... 2-1- SWR ...................................................................... Slotted Line 2-2- .................................................................................... 3: ................................................................... 13 4: ) Scattering

......................................................................................................................................... 43

(Parameters 4-1- 4-2- 4-3-

................................................................................................................. 43 ..................................................... .Error! Bookmark not defined !Error ) (Insertion Loss

.Bookmark not defined 5: ..................................................Error! Bookmark not defined ....................................Error! Bookmark not defined ......................................Error! Bookmark not defined ...................................Error! Bookmark not defined ...Error! Bookmark not defined ..................................................... .Error! Bookmark not defined

5-1- 5-2- 5-3- 5-4-

5-5- 5-6- ................................................................................................................... 6: . .Error! Bookmark not defined 7: (Swept Frequency ........................................................................... .Error! Bookmark not defined )Technique ) .......................................................................................... (Insertion Loss 7-1- ) ........................................................................................... (Re turn Loss 7-2- !Error 8: .Bookmark not defined 11: .............................................................Error! Bookmark not defined .Error! Bookmark not defined

11-1-

Error! Bookmark not defined. Error! Bookmark not defined.

-2-11 -3-11 -4-11 -5-11

Error! Bookmark not defined. ............................................... Error! Bookmark not defined. ................................................ Error! Bookmark not defined.

11-6- Error! Bookmark not defined. ............................................. 21: Error! Bookmark not defined.

12-1-

Error! Bookmark not defined.............................. Error! Bookmark not defined. ................................. Q Error! Bookmark not defined................................. SWR Q

-2-12 -1-13

Error! Bookmark not defined.............................. Q 31:

-2-13 Error! Bookmark not defined. ..................................................................... 41: Error! Bookmark not defined. 41-1- Error! Bookmark not defined. .................. Error! Bookmark not defined.................................................... Z0 Error! Bookmark not defined.

-2-14 -3-14 -4-14 -5-14 -1-15

Error! Bookmark not defined. dB

Error! Bookmark not defined................................................................. 51: Error! Bookmark not defined. Error! Bookmark not defined..............................

-2-15 Error! Bookmark not defined. ....................... RF 51-3- Error! Bookmark not defined. ............................................... Hybrid - Tee 61: Error! Bookmark not defined. 61-1- Error! Bookmark not defined. .................. E H 61-2- Error! Bookmark not defined. ................................. Hybrid - Tee Error! Bookmark not defined.......................................... H

-3-16 -4-16

0

1GHz. ) ...( . . . . . (MWO)Microwave Office . . (CW)Continuous Wave . :

1 . . 1kHz . . -SWR . 1-

1

. : . 1 . 2 . 1-

2

2-

) (Microstrip ) (Stripline. ) X 8 21 K 81 5.62 ( . . ) 01 ( TE . 3 .

3

3- 01TE

X . 05 . . N SMA. -TEM N 18GHz SMA ) (Precision 26.5GHz. dB : dBm ) ( dBW dBm :) P(dBW ) = 10 log P (W ) P(dBm) = 10 log P(mW 03 + )P(dBW ) = P(dBm

)1(

1uW -60dBW -30dBm. dB .P2 P1 (dB) = 10 log 2P 1P 4

)2(

.

1 1 3dB 30dB 0001 2

: . 1- ): (Waveguide to Coaxial Adapter ) .( 4 . )( 2 / g . )(Probe 01 TE . ) ( .

4-

2- ): (Matched Load . . 5

. 5 . ) ( .

5-

. 3- ): (Variable Attenuator . 3dB 10dB . . ) (1dB. . ) 6( . . ) ( E .

6

6-

4- ): (Phase Shifter . 0 f 0 0 f 0 . . . ) 7( ) 3( . = l r r c

. )3(

. ) 8( 063 .

7- 7

8-

5- ): (Isolator ) ( . )( ) ( . ) ( ) ( . 9 .

9- E H

8

9 ) (E ) (H . . ) 01(

01-

11 .

11-

6- ): (Circulator . 21 1 2 2 3 3 1. ) (. 21 .

9

B

21-

7- )(Microwave detector and Slotted Waveguide ) ( 31 . )( . . . )(VSWR . ) ( .

01

31- )(

8- ): (Directional Coupler ) ( . 41 . . A B )( . 4 / g C D 081 . ) ( ) ( . . . . C B A D

11

1C P

D C 1P

B A 2P

4 g

P3 F

1P

2P

) (P 3R

2P

1P

)( 41-

41 )( ) ( . ) 1 (P ) (P3 F

) (Coupling dB . : ) . C = 10 log(P1 / P3F 10 dB

. ) (Directivity 41 )( ) . D = 10 log(P3F / P3R

21

) D 40 dB(. 9- ): (T-Junction . ) .( E H 081 . 51 .

51- (a) H (b) E

01- 081 T ): (Magic T E H T . 61 .

31

61- T

61 1 2 3 4 081 . T 2 3 . 11- ): (Horn Antenna 71 . . ) ( 15 dB .

41

71-

21- ): (Frequency Meter ) (Re sonant Cavity ) 81(. 111 TE h . . ) ( 1 dB ) ( . . X 5 MHz .

51

81-

61

1 : 1 11 TLDS . LED . LED . . . 006 . 2 / n . 1-1 .

1-1 :

1-1- 1-2 :

1-2 :

:'hold / run switch ....................................................................................................' run 'line length .......................................................................................................................'8 L 'distributed attenuation ................................................................................................' min

1

Transmission Line Demonstrator

71

. ' ' to A . . 006 B 002 1.8 K . .

1-2- 1-3 :

1-3 :

50 560 . ' ' L . 2.5 Hz . 600 . 600 ' ' Link ' '2 L ' '8 L . 1.8 K 600 .

1-3- 1-4 . 1 Hz 8V Peak to Peak . ' ' L . 81

.

1-4 :

0.2 Hz 2 Hz. . 2 Hz . . ' '2 L . 10 K . 10 K . . 2 Hz .

1-4- 1-5 . 2 Hz . ' ' L .

91

1-5 :

' ' max . B ) .( ' '2 L . ' ' min ' ' L. 1-4 . . ' ' max . ) LED .( . ) ( .

1:1

1-5- 2 /

1-6 2 Z Z 1 = 600 .

02

1-6 :

' ' L ' ' min. 2 / ) .( 20V Peak to Peak ) ( . 600 1 Z 2 Z . ) ( 110 F .

12

2 :

) (Null Shift Method .

) UHF (

. .

1 ) ( Z L ) ) (Matched( ) ( ) ( S tan ding Wave . ) S tan ding Wave Ratio SWR ( S .

) ( : )2-1(

= S = SWR

1+ 1

:= 0ZL Z 0ZL + Z

)2-2(

S ) 1 = ( S .2

1 " W . H . Hayt , " Engineering Electromagnetics .

22

2-1- SWR Slotted Line ) ( ) 2-1(. . ) ) (Pr obe ) (Crystal Detector ) ( . .( .

. ) (SWR SWR . ) ( 1 KHz ) ( 1 KHz .

2-1 :

2-2- ) (SWR . : )( ) (.

32

. SWR. L . ) 2-2(

2-2 :

. )( 2 / . : 1. 2 / . 2. 2 / . 3. . ) 1 < 0 < r .( : )( . ) - .( )( . ) 0.15 ( )( 2 / ) .( SWR 1 <

42

L / . : : ) ( 50 5 cm 1 : 3.3 = SWR. 0.1 . = (2 )(5) = 10 cm

.

f = c / = (3 10 8 ) / (0.1) = 3 GHz

1.0 = 01 / 1 = L /

( ) A ( 0.1 36.0 Z L = 0.44 + j Z = 50Z L = 50(0.44 + j 0.63) = 22 + j31.5

2-3 3.3 = SWR ) SWR 1 > r

) .( B :

: 1- L / 2- ) (Capasitive ) (Inductive 3- 0 = L 4- 4 / L =

52

2-3 :

62

2-4 .

2-4 :

1( UHF 1000 MHz 1 kHz ) SWR 1 kHz (. 2( ) (Tuning SWR . 3( .

7.5 cm ( = 30 cm) 1000 MHz 4 / . 50 SWR . : SWR 1 / V SWR : )( ) (Gain SWR 1 ) ( . )( SWR . ) 2-5(

72

2-5 : SWR

4( . ) .( . 5( 1000 MHz . 6( 900 MHz 1200 MHz . 7( )7(- . ) (.

: .

82

2-6 :

92

03

3 : 1kHz

:

10dB 0 ~ 50 dB 0 063 T

SWR

T

. T SWR . T . )( . . 3-1 . .

13

3-1 :

1( 10 V 9.0 GHz . . 5.9 01 5.01 11 .) ( 2( 10 GHz . .3( Screw Tuner

. ) 2 / 1 ( . 4( ) ( ) ( 10GHz

10 GHz . 5.9 01 5.01 11 .

23

) (sliding short ) (3dB . 1- D 2- 3- 4-

33

4 : ) Scattering

(Parameters

) (Passive S .

1GHz ) ( ) (Waveguides . 5 GHz 0.5 dB / m 0.04 dB / m. 1 ) (Modes .

) (Do min ant Mode ) ( . ) ( .

4-1- 01 TE. 4-1 . 01 TE : c = 2a

1 ( : ".1) Brown Sharpe Hughes" Lines Waves and Antennas ".2) Collin" Foundations of Microwave Engineering

43

= fc = g = vp c c = c 2a 0 ) 1 ( fc / f c ) 1 ( fc / f22

: : ) (:

c a 0 ) (0 = c / f.

4-1 : 01TE

4-2- ) ( H Y Z . . ) UHF (: - . - ) (.53

) S ( Scattering . 0 Z . ) 0 = x( :V = Vi + V r 1 Vi = Pi 02 Z2

: :

1 Vr = Pr 02 Z

2

:

a b :=a Vi 0 2Z2

= b2

Vr 0 2Z

:Pi = a Pr = b

4-2 :

) 4-2(. 1 1 a 1 b 2 2 a 2 b . ) 2 (. S ) (:2 b1 = S11a1 + S12 a

63

2 b2 = S 21 a1 + S 22 a

] [b] = [S ][a[S ] =

:

11S

12 S

S12 : S 22

S . 11 S:= 11S 1b 1a =0 = 2a

12V 11V

1= 0 = L

0Z L =Z

11 S ) ( . 22 S . := 12 S2

2b 1a

2 2 0= 2a

=

PL 1Pi

0 Z L =Z

12 S 2 1 .2

12 S ) ( ) 2

( ) 1 2 ( . 21 S )( N. ) ( Insertion Loss 2

) ( Re turn Loss.12 IL = 20 log S 11RL = 20 log S )(dB )(dB )4-1( )4-2(

( IL = 20 dB ) 20 dB ) 10 dB ( ) 0 = 21 ( S S :0 23.0 10 0.32 IL = 3dB

3dB : S N :

73

11 b1 S b S 12 2 . . = . . . . 1 b N S N 21S 22 S . . . . . . S1 N a1 S 2N a2 . . . S NN a N

2SN

.

.

.

S ) (Passive ) ( Active . S ) .( Z 0 = 50 . S L := GP S 12 1 S2

(1 S11S )(1 S 22 L ) S11 S12 L S .

(

2

) )(1 2 L

1( ) (Symmetry S . 4-3 . XX ) YY ( . :44 S11 = S 22 = S 33 = S 32 S14 = S 43 S12 = S 42 S13 = S .....

83

4-3 :

2( ) (Re ciprocity S ij = S ji

) (i j

:

:11 S 21S = S 31 S 21S 22 S 32 S S13 S 23 S 33 3( ) (Lossless S

N :

(a aN 1= n n

* n

* 0 = bn bn

)

: )( S .

S1= n

N

mn

* 0 = S kn

) (m k)( S .

S1= n

N

mn

* 1 = S mn

93

) (Unitary . ) ( .

) (Insertion Loss

4-3-

) ( dB : ) 4-4( 1( ) SWR( . X dB 0 V . 2( 0 V . Y dB. 3( dB . Y X - 1 V 2) V (

4-4 :

04

X a = 0.9 inch = 22.9 mm

) (8.2 GHz < f < 12.4 GHz. :

) 01 (TE ) ( g ) 8.5 ~ 12 GHz ( 0.5 GHz 0) ( ) g ( . .

b = 0.4 inch = 10.2 mm

X

1(

4-5 . 1 KHz . . 2 / 2 / g.

4-5 : ) 1(

. )(

14

1 kHz . 5.8 9 01 11 21 . ) .( 2( 10 GHz ) (C ) (D . ) 4-6( )( ) ( 40 dB ) 0. (V )( ) ( . ) 0 (V. )( C D . . - 1.0 =

4-6 : ) (

24

3( 4-6 X f = 10 GHz

.

)(WaveguideT Junction

.4( S

4-7 11 S12 S 21 S 22 S 32 S 10 GHz . S ii ) ( . S ij SWR ) ( . j . j i . ) .( S ij dB . ) SWR 1 kHz .( .

4-7 :

34

: S ) ( . 5( T S E H T . S ij S ii .

11 S12 S 12 S X 10 GHz .

) (Circulator

6( S

44