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An interface at z=0 separates free-space from a dialectic material having constitutive parameters &, = 2ɛ,, H2 = Ho. An electric field intensity E'(x, y)=(-0,5⸠+0.866â, )cos(@t –0.57x-0.8667z) %3D is incident on the interface from free space. Find: a) The wavenumber in the first medium, b) The operating frequency, c) The intrinsic impedance in medium 1 and medium 2, d) The unit vector in the direction of propagation of the incident field, e) The angle of incidence, angle of reflection and angle of transmission. f) The unit vector in the direction of propagation of the reflected field, g) The unit vector in the direction of propagation of the transmitted field, h) The wave number in the second medium. i) The reflection and transmission coefficients, j) The reflected and transmitted fields.

An interface at z=0 separates free-space from a dialectic material having constitutive parameters &, = 2ɛ,, H2 = Ho. An electric field intensity E'(x, y)=(-0,5⸠+0.866â, )cos(@t –0.57x-0.8667z) %3D is incident on the interface from free space. Find: a) The wavenumber in the first medium, b) The operating frequency, c) The intrinsic impedance in medium 1 and medium 2, d) The unit vector in the direction of propagation of the incident field, e) The angle of incidence, angle of reflection and angle of transmission. f) The unit vector in the direction of propagation of the reflected field, g) The unit vector in the direction of propagation of the transmitted field, h) The wave number in the second medium. i) The reflection and transmission coefficients, j) The reflected and transmitted fields.

Introductory Circuit Analysis (13th Edition)
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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Electrical Engineering - electromagnets materials
An interface at z=0 separates free-space from a dialectic material having constitutive parameters &, = 2ɛ,,l, = Ho. An electric field intensity E' (x, y) 3(-0.5а, +0.866а, )cos(cx - 0.5лх -0.866лг) is incident on the interface from free space. Find: a) The wavenumber in the first medium, b) The operating frequency, c) The intrinsic impedance in medium 1 and medium 2, d) The unit vector in the direction of propagation of the incident field, e) The angle of incidence, angle of reflection and angle of transmission. f) The unit vector in the direction of propagation of the reflected field, g) The unit vector in the direction of propagation of the transmitted field, h) The wave number in the second medium. i) The reflection and transmission coefficients, j) The reflected and transmitted fields.
Transcribed Image Text:An interface at z=0 separates free-space from a dialectic material having constitutive parameters &, = 2ɛ,,l, = Ho. An electric field intensity E' (x, y) 3(-0.5а, +0.866а, )cos(cx - 0.5лх -0.866лг) is incident on the interface from free space. Find: a) The wavenumber in the first medium, b) The operating frequency, c) The intrinsic impedance in medium 1 and medium 2, d) The unit vector in the direction of propagation of the incident field, e) The angle of incidence, angle of reflection and angle of transmission. f) The unit vector in the direction of propagation of the reflected field, g) The unit vector in the direction of propagation of the transmitted field, h) The wave number in the second medium. i) The reflection and transmission coefficients, j) The reflected and transmitted fields.
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