Question

4. For reflection and transmission at oblique incidence the Fresnel's equations are (assuming polarization in the plane of incidence, non-conducting, linear medium) ??R / ??I = (? - ?) / (? + ?) , ??T / ??I = 2 / (? + ?) where ??I , ??R , ??T are the incident, reflected, and transmitted amplitudes respectively, and ? = cos?? / cos?I , ? = (??v?) / (??v?) = (??n?) / (??n?) (i) What happens at (a) grazing incidence ?I = ?/2 (b) at incident angle ?I = ?B , ?IB being the Brewster's angle. (ii) Calculate the reflected and transmitted intensities and show that R + T = 1. (iii) The index of refraction of diamond is 2.42. Assume ?? = ?? = ?? and air/diamond interface. Assume polarization in the plane of incidence, and calculate (a) Brewster's angle, and (b) the crossover angle at which reflected and the transmitted amplitudes are equal.

          4. For reflection and transmission at oblique incidence the Fresnel's equations are (assuming polarization in the plane of incidence, non-conducting, linear medium)

??R / ??I = (? - ?) / (? + ?) , ??T / ??I = 2 / (? + ?)

where ??I , ??R , ??T are the incident, reflected, and transmitted amplitudes respectively, and

? = cos?? / cos?I , ? = (??v?) / (??v?) = (??n?) / (??n?)

(i) What happens at (a) grazing incidence ?I = ?/2
(b) at incident angle ?I = ?B , ?IB being the Brewster's angle.

(ii) Calculate the reflected and transmitted intensities and show that R + T = 1.

(iii) The index of refraction of diamond is 2.42. Assume ?? = ?? = ?? and air/diamond interface. Assume polarization in the plane of incidence, and calculate (a) Brewster's angle, and (b) the crossover angle at which reflected and the transmitted amplitudes are equal.

$4. For reflection and transmission at oblique incidence the Fresnel's equations are (assuming polarization in the plane of incidence, non-conducting, linear medium) ??R / ??I = (? - ?) / (? + ?) , ??T / ??I = 2 / (? + ?) where ??I , ??R , ??T are the incident, reflected, and transmitted amplitudes respectively, and ? = cos?? / cos?I , ? = (??v?) / (??v?) = (??n?) / (??n?) (i) What happens at (a) grazing incidence ?I = ?/2 (b) at incident angle ?I = ?B , ?IB being the Brewster's angle. (ii) Calculate the reflected and transmitted intensities and show that R + T = 1. (iii) The index of refraction of diamond is 2.42. Assume ?? = ?? = ?? and air/diamond interface. Assume polarization in the plane of incidence, and calculate (a) Brewster's angle, and (b) the crossover angle at which reflected and the transmitted amplitudes are equal.$

Added by Nancy R.

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