please help me Often times the index of refraction can be represented by a Cauch

Question

please help me

Often times the index of refraction can be represented by a Cauchy model when below the resonant frequency, n( lambda ) = A + B/ lambda 2 + C/ lambda 4. The first material is air with a refractive index of n1 = 1.00 and the refractive index of the second material shown in the above diagram is given by the Cauchy model with A = 1.23, B = 5.38 Times 104nm2, and C = 3.10 Times 108nm4. A laser beam with a peak wavelength of lambda = 630nm is incident at the material interface. (a) What is the refractive index of the second material (b) At what angle does the P-polarization exhibit perfect transmission through the interface (Brewester's angle)?

Explanation / Answer

putting the values we get refractive index for the second material

we get

n= 1.3675

thus

tan theta= n2/n1

theta= arc(1.3675)

= 53.8 degree

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