Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

Basic Electronics Engineering for SSC JE (Technical)

Electrical Engineering (EE) : Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

The document Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev is a part of the Electrical Engineering (EE) Course Basic Electronics Engineering for SSC JE (Technical).
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Waveguides

Waveguides (single conductor lines) 

  • At frequecies higher than 3 GHz, there are more losses in Transmission lines. 
  • A hollow metallic tube used to transmit EM waves by successive refelections from inner walls of tube is called waveguide.

Difference with transmission line: 

  • In waveguide, only wa ves having frequencies grea ter than cut off frequency fc will be propagated that is why waveguide act as a HPF.
  •  Waveguide is one conductor transmission line.

Rectangular waveguide: 

  • TM11 is dominant mode for TM waves. 
  • TE10 is dominant mode for TE wave and it is also overall dominant mode (when a >b).

In this TM10 or TM01 does not exist.

Cut of frequency :
Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

Phase constant:
Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

Phase velocity:
Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

Group velocity :
Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

In waveguide: vp > c>vg

i.e. vpv=c2

In vacuum : vp = c = vg  Intrinsic wave impedance:

For TE Mode:
Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRevChapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

For TM mode:
Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRevChapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

Guided wavelength (lg):
Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

Where lo = free space wavelength lc = Cutoff wavelength lg > lc >l0

Power handling capacity of rectangular waveguide
Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

ORChapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

For standard rectangular waveguide : a = 2b 

  • Dominat mode: it is the mode with lowest cutoff frequency ((longest cutoff wavelength).

Circular /Cylindrical waveguide: 

  • TM01 is dominant mode for TM waves. 
  • TE11 is dominant node for TE waves and it is overall dominant mode. 
  • In circular waveguide second suffix of TE or TM modes cannot be zero (as TMmo or TEmo can not exist)

Cut off wavelength: For 

Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

r= ra diu s o f c ircula r waveguide

For

Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

Power handling capacity of circular waveguide:

Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

d= Intenal diameter
Cavity Frequency:  

  • When both the ends of the waveguide are terminated, signal bounces back and forth between two shorting plates. 
  • This results in resonance in cavity that is why it is called cavity resonator. 
  • Cacity resonators act as BPF and it is used for energy storage.

Resonant frequency:

Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

  • TE101 is the dominant mode of cavity resonator. 
  • TM110 is lowest order of cavity resonator.

Quality factor of cavity resonator

Chapter 2 Waveguides - Notes, Microwave, Electrical Engineering Electrical Engineering (EE) Notes | EduRev

W ® Maximum stored energy
P ® average power loss Integer m ® no. of half cycle variations in X direction.
Integer n ® no. of half cycle variations in Y direction.

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