Find the reflection and transmission coefficients of a plane, TM wave propagating between 2 lossless media with refractive indexes n¡ and n;. Suggestion: You can start by using the fact that the total tangential component of the magnetic field strength (H) immediately above the interface must be equal to the effective magnetic field immediately below the interface. (magnetic field strength (H) is B/Hmedium) (b) Find the coefficients as a function of incident and transmitted angles. (c) Show the expressions you derived for the special case of normal incidence. (d) Transmissivity and Reflectivity (max = 1 and min = 0) are given by the square of the absolute value of the transmission and reflection coefficients. Plot transmissivity and reflectivity as a function of angle of incidence (from 0 to 90 deg) for the case where ni = 1 and n; = 1.5. Is there a situation where TE waves are not reflected?

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Find the reflection and transmission coefficients of a plane, TM wave propagating between 2
lossless media with refractive indexes n, and n;.
Suggestion: You can start by using the fact that the total tangential component of the magnetic field
strength (H) immediately above the interface must be equal to the effective magnetic field immediately
below the interface. (magnetic field strength (H) is B/lmedium)
(b) Find the coefficients as a function of incident and transmitted angles.
(c) Show the expressions you derived for the special case of normal incidence.
(d) Transmissivity and Reflectivity (max = 1 and min = 0) are given by the square of the absolute value of
the transmission and reflection coefficients. Plot transmissivity and reflectivity as a function of angle of
incidence (from 0 to 90 deg) for the case where nị = 1 and n: = 1.5. Is there a situation where TE waves
are not reflected?
Transcribed Image Text:Find the reflection and transmission coefficients of a plane, TM wave propagating between 2 lossless media with refractive indexes n, and n;. Suggestion: You can start by using the fact that the total tangential component of the magnetic field strength (H) immediately above the interface must be equal to the effective magnetic field immediately below the interface. (magnetic field strength (H) is B/lmedium) (b) Find the coefficients as a function of incident and transmitted angles. (c) Show the expressions you derived for the special case of normal incidence. (d) Transmissivity and Reflectivity (max = 1 and min = 0) are given by the square of the absolute value of the transmission and reflection coefficients. Plot transmissivity and reflectivity as a function of angle of incidence (from 0 to 90 deg) for the case where nị = 1 and n: = 1.5. Is there a situation where TE waves are not reflected?
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