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book Field and Wave Electromagnetics 2nd Edition by David Cheng cover

Field and Wave Electromagnetics 2nd Edition by David Cheng

Edition 2ISBN: 978-0201128192
book Field and Wave Electromagnetics 2nd Edition by David Cheng cover

Field and Wave Electromagnetics 2nd Edition by David Cheng

Edition 2ISBN: 978-0201128192
Exercise 25
In studying the wave behavior in a straight waveguide having a uniform but arbitrary cross section it is expedient to find general formulas expressing the transverse field components in terms of their longitudinal components. We write
E = E r + a Z E z
H = H T + a Z H Z ,
In studying the wave behavior in a straight waveguide having a uniform but arbitrary cross section it is expedient to find general formulas expressing the transverse field components in terms of their longitudinal components. We write E = E r + a Z E z  H = H T + a Z H Z ,     where the subscript T denotes transverse. Prove the following relations for time-harmonic excitation: a)      b)      where h 2 is that given in Eq. (10-15).
where the subscript T denotes "transverse." Prove the following relations for time-harmonic excitation:
a)
In studying the wave behavior in a straight waveguide having a uniform but arbitrary cross section it is expedient to find general formulas expressing the transverse field components in terms of their longitudinal components. We write E = E r + a Z E z  H = H T + a Z H Z ,     where the subscript T denotes transverse. Prove the following relations for time-harmonic excitation: a)      b)      where h 2 is that given in Eq. (10-15).
b)
In studying the wave behavior in a straight waveguide having a uniform but arbitrary cross section it is expedient to find general formulas expressing the transverse field components in terms of their longitudinal components. We write E = E r + a Z E z  H = H T + a Z H Z ,     where the subscript T denotes transverse. Prove the following relations for time-harmonic excitation: a)      b)      where h 2 is that given in Eq. (10-15).
where h 2 is that given in Eq. (10-15).
Explanation
Verified
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a)
Consider the following equation.
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Field and Wave Electromagnetics 2nd Edition by David Cheng
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