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Question

Question: The transmission coefficient of a wave propagating in the Brewster angle is...

The transmission coefficient of a wave propagating in the Brewster angle is

A

0

B

1

C

0 infinity

Answer

1

Explanation

Solution

The Brewster angle (also known as the polarization angle) is a specific angle of incidence at which light with a particular polarization, known as p-polarized light (polarized parallel to the plane of incidence), is perfectly transmitted through a dielectric interface, with no reflection.

At the Brewster angle, for p-polarized light, the reflection coefficient (RpR_p) is zero. According to the principle of conservation of energy, for a non-absorbing medium, the sum of the reflection coefficient (RR) and the transmission coefficient (TT) is equal to 1 (R+T=1R + T = 1).

Since Rp=0R_p = 0 at the Brewster angle, it follows that the transmission coefficient for p-polarized light (TpT_p) must be:

Tp=1Rp=10=1T_p = 1 - R_p = 1 - 0 = 1

Therefore, the transmission coefficient of a p-polarized wave propagating at the Brewster angle is 1.