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)
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93eed711-7dbc-48eb-b048-6a55593a5433%2F630496b3-54c5-476b-9227-12045d624039%2Fhfzzl4z_processed.jpeg&w=3840&q=75)
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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