A rectangular waveguide is filled with a (non-magnetic) perfect dielectric. The metal is a PEC. X &, = 2.25, H, = 1 a = 4 cm , and b= 1 cm. a) Consider a single pure mode, whereby the component of the magnetic field in the z-direction is H (F) = H, cos(B,x)cos(B,y)eiz Construct an expression for the magnetic field phasor. H(r) where B = 3n rad/cm and By = 1.25n rad/cm. You may quote formulae for the eigenvalues of the rectangular Helmholtz Equation without derivation. b) Which mode is this? c) Suppose a coupler at z = 0 excites the waveguide at a frequency, f= 12 GHz. Can the mode described in (a), (b) propagate. Explain. ( ample

A rectangular waveguide is filled with a (non-magnetic) perfect dielectric. The metal is a PEC. X &, = 2.25, H, = 1 a = 4 cm , and b= 1 cm. a) Consider a single pure mode, whereby the component of the magnetic field in the z-direction is H (F) = H, cos(B,x)cos(B,y)eiz Construct an expression for the magnetic field phasor. H(r) where B = 3n rad/cm and By = 1.25n rad/cm. You may quote formulae for the eigenvalues of the rectangular Helmholtz Equation without derivation. b) Which mode is this? c) Suppose a coupler at z = 0 excites the waveguide at a frequency, f= 12 GHz. Can the mode described in (a), (b) propagate. Explain. ( ample

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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