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Page 1: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Waveguide Types

Page 2: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Waveguide Types

Page 3: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Waveguide Types

Page 4: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

We are interested in finding what electromagnetic field solutions are possible in a

uniform infinite waveguide with no sources.

We can always find those solutions by solving:

or

Subject to boundary conditions.

Page 5: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

This is really three PDEs

Subject to boundary conditions.

Page 6: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

This is really three PDEs

Subject to boundary conditions.

That’s a lot of work!

Are there any shortcuts?

Page 7: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Because the cross section does not change in the z direction

Page 8: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

This is really three PDEs

Subject to boundary conditions.

Page 9: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

This is really three PDEs

Subject to boundary conditions.

Page 10: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

This is really three PDEs

Subject to boundary conditions.

Page 11: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

This is really three PDEs

Subject to boundary conditions.

This makes it a bunch easier!

Any other short cuts?

Page 12: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Page 13: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Page 14: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Page 15: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Page 16: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Page 17: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

where

Page 18: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Page 19: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Three Cases: (1) Ez=0, Hz = 0 TE (2) Ez=0, Hz = 0 TM

Page 20: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Three Cases:

(3) Ez=0, Hz = 0 TEM

What do we do with this?

Looks like all the fields are zero!

Page 21: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Three Cases:

(3) Ez=0, Hz = 0 TEM

What do we do with this?

Looks like all the fields are zero!

The only way the fields are not all zero is if

Page 22: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Three Cases:

(3) Ez=0, Hz = 0 TEM

=0

Page 23: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Uniform Waveguides

Three Cases:

(3) Ez=0, Hz = 0 TEM

Page 24: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

Page 25: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

Page 26: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

Page 27: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

Page 28: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

Boundary Conditions

Page 29: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

Boundary Conditions

Boundary Conditions

Page 30: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

Boundary Conditions

Boundary Conditions

Page 31: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

How do we find ?

Page 32: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

How do we find ?

Page 33: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

Page 34: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

Case I:

is real and the mode propagates without attenuation

Case II:

is imaginary and the wave decays exponentially

Page 35: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

At the point

the mode changes from evanescent to propagating.

Page 36: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Rectangular Waveguides

TM Modes

Page 37: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Guide wavelength:

Wave impedance:

Dominant mode: (a>b)

Rectangular Waveguides

Page 38: Waveguide Types - University of Delaware · uniform infinite waveguide with no sources. We can always find those solutions by solving: or Subject to boundary conditions. ... Rectangular

Group velocity:

Phase velocity:

Rectangular Waveguides


Subject Code: 12271 Model Answer Important … height b. Rectangular waveguide is a hollow metallic tube with a rectangular cross section. TEM wave cannot exist in rectangular waveguide

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Waveguide Types - University of Delawaremirotzni/ELEG413/WaveguidesI.pdf · Rectangular Waveguides. TM Modes. ... What is the dominate mode for this waveguide? Rectangular Waveguides

RECTANGULAR DIELECTRIC WAVEGUIDE AND …lib.tkk.fi/Diss/2002/isbn951225901X/isbn951225901X.pdf4 Abstract The purpose of this work was to study the rectangular dielectric waveguide

Lecture 5c -- Rectangular waveguideemlab.utep.edu/ee4347appliedem/Lecture 5c -- Rectangular waveguide.pdf10/30/2017 3 Lecture 5c Slide 5 Analysis of Rectangular Waveguide Rectangular

Analysis and design of rectangular waveguide to substrate

Oversized rectangular waveguide components for … Bound...86 PHILIPS TECHNICAL REVIEW VOLUME 29 Oversized rectangular waveguide components for millimetre waves H.J. Butterweck and

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TOPIC 2 - WordPress.com...Rectangular Waveguide •Let us consider a rectangular waveguide with interior dimensions are a x b, •Waveguide can support TE and TM modes. –In TE modes,