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WAVEGUIDES
BY
PRIYANKA GAUR
ASSISTANT PROFESSOR (DEPT. OF ECE)
www.advanced.edu.in
CONTENTS
•Introduction
• waveguides and its Modes
•Cut-off frequency
•Usable Frequency Range
•Group Velocity and Phase Velocity
•Characteristic Impedance
•Guided Wavelength
•Impedance Matching
•Couplers
•Passive components
www.advanced.edu.in
Introduction
•Microwaves have frequencies > 1 GHz approx.
•Stray reactances are more important as frequency increases
•Transmission line techniques must be applied to short conductors like
circuit board traces
•Device capacitance and transit time are important
•Cable losses increase: waveguides often used instead
www.advanced.edu.in
Waveguides
Pipe through which waves propagate
Can have various cross sections
Rectangular
Circular
Elliptical
Can be rigid or flexible
Waveguides have very low loss
www.advanced.edu.in
Waveguides
www.advanced.edu.in
Modes
•Waves can propagate in various ways
•Time taken to move down the guide varies with the mode
•Each mode has a cutoff frequency below which it won’t
propagate
•Mode with lowest cutoff frequency is dominant mode
www.advanced.edu.in
Multimode propagation
www.advanced.edu.in
Mode Designations
www.advanced.edu.in
•TE: transverse electric
•Electric field is at right angles to direction of
travel
•TM: transverse magnetic
•Magnetic field is at right angles to direction of
travel
•TEM: transverse electromagnetic
•Waves in free space are TEM
Rectangular Waveguides
•Dominant mode is TE10
1 half cycle along long dimension (a)
No half cycles along short dimension (b)
Cutoff for a = c/2
•Modes with next higher cutoff frequency are TE01
and TE20
Both have cutoff frequency twice that for TE10
www.advanced.edu.in
TE modes in Rectangular waveguide
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Cutoff Frequency
•For TE10 mode in rectangular waveguide with a
= 2 b
a
c
fc
2

www.advanced.edu.in
Usable Frequency Range
•Single mode propagation is highly desirable to
reduce dispersion
•This occurs between cutoff frequency for TE10
mode and twice that frequency
•It’s not good to use guide at the extremes of this
range
www.advanced.edu.in
Group Velocity
•Waves propagate at speed of light c in guide
•Waves don’t travel straight down guide
•Speed at which signal moves down guide is the group
velocity and is always less than c
2
1 






f
f
cv c
g
www.advanced.edu.in
Variation of group velocity with
frequency
www.advanced.edu.in
Phase Velocity
•Not a real velocity (>c)
•Apparent velocity of wave along wall
•Used for calculating wavelength in guide
•For impedance matching etc.
2
1 







f
f
c
v
c
p
www.advanced.edu.in
Variation of phase angle along a
waveguide
www.advanced.edu.in
Characteristic Impedance
•Z0 varies with frequency









20
1
377
f
f
Z
c
www.advanced.edu.in
Guide Wavelength
•Longer than free-space wavelength at same
frequency
2
1 







f
fc
g


www.advanced.edu.in
Impedance Matching
•Same techniques as for coax can be used
•Tuning screw can add capacitance or inductance
www.advanced.edu.in
Coupling Power to Guides
•3 common methods
◦ Probe: at an E-field maximum
◦ Loop: at an H-field maximum
◦ Hole: at an E-field maximum
www.advanced.edu.in
Coupling power to a waveguide
www.advanced.edu.in
Directional Coupler
•Launches or receives power in only 1 direction
•Used to split some of power into a second guide
•Can use probes or holes
www.advanced.edu.in
Two-hole directional coupler
www.advanced.edu.in
Passive Components
•Bends
◦Called E-plane or H-Plane bends depending on the
direction of bending
•Tees
◦Also have E and H-plane varieties
◦Hybrid or magic tee combines both and can be used for
isolation
www.advanced.edu.in
Waveguide bends
www.advanced.edu.in
Waveguide tees
www.advanced.edu.in
Hybrid tees
www.advanced.edu.in
SUMMARY
•The basic concept of transverse waves travelling in a
waveguide .
•Waveguide acts as a guide to any wave and it acts as a high-
pass filter which allows frequencies higher than the cut-off
frequency to pass through it.
www.advanced.edu.in
Contact Information
Priyanka Gaur
Assistant Professor (ECE Department)
priyanka0920@gmail.com
College Address
Advanced Educational Institutions, 70 km Milestone , Mathura road, Palwal,
Aurangabad, Haryana 121105, Palwal
www.advanced.edu.in

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