# x z y 0 a b 0 0 a x EyEy z rectangular waveguides TE 10 mode.

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x z y 0 a b 0 0 a x EyEy z rectangular waveguides TE 10 mode

rectangular waveguides TE 10 mode y x z 0 a b 0 y b x z 0 a 0 y b x z 0 a 0 a = 2b

x z y 0 a b 0 a = 3 cm rectangular waveguides TE 10 mode

x z y 0 a b 0  cc rectangular waveguides TE 10 mode

rectangular waveguides TE 10 mode y b x z 0 a 0

rectangular waveguides TE 10 mode y b x z 0 a 0

x z y 0 a b 0 0 a x EyEy z rectangular waveguides TE 10 mode g

rectangular waveguides x z y 0 a b 0 TE 10 mode

Movie to illustrate phase mixing of two propagating sinewaves in a dispersive media.  cc

Study of an amplitude modulated pulse

Movie to illustrate the propagation of an amplitude modulated pulse in a waveguide

dispersion z z z t1t1 t2t2 t3t3 z z z t1t1 t2t2 t3t3 z z z t1t1 t2t2 t3t3

z z z t1t1 t2t2 t3t3

x z y 0 a b 0 rectangular waveguides TE 10 mode 8.8.e. The transmission analogy can be applied to the transverse field components, the ratios of which are constants over guide cross sections and are given by wave impedances. A rectangular waveguide of inside dimensions [a = 4, b = 2 cm] is to propagate a TE 10 mode of frequency 5 GHz. A dielectric of constant  r =3 fills the guide for z>0 with an air dielectric for z<o.

rectangular waveguides x z y 0 a b 0 TE 10 mode

rectangular waveguides x z y 0 a b 0 TE 10 mode

x z y 0 a b 0 lossy dielectric The wave will attenuate as it propagates. rectangular waveguides TE 10 mode

x z y 0 a b 0 rectangular waveguides TE 10 mode Loss in walls due to finite conductivity of metal surfaces Tangential H  surface current j s Ohmic power loss Attenuation of the em wave

x z y 0 a b 0 0 a x EyEy z rectangular waveguides TE 10 mode matching

x z y 0 a b 0 rectangular waveguides 8.8a. For f=3 GHz, design a rectangular waveguide with copper conductor and air dielectric so that the TE 10 wave will propagate with a 30% safety factor (f = 1.30f c ) but also so that wave type with next higher cutoff will be 30% below its cutoff frequency. a = 6.5 cm b = 3.85 cm

Cylindrical Waveguides a  z

a  z Bessel function

J 0 (x) J 1 (x) 0 0 1020 1

Cylindrical Waveguides a  z J 0 (x) J 1 (x) 0 0 1020 1 n is angular variation l is radial variation

Cylindrical Waveguides a  z

a  z n is angular variation l is radial variation J 0 (x) J 1 (x) 0 0 1020 1

Loss decreases as frequency increases Field distribution is similar to TE 10 mode in rectangular waveguide

vgvg vv v c 1  c c a  z

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