2. A plane-wave, monochromatic beam traveling in a medium with index of refraction n1 is incident at angle 0; on the plane boundary surface of a medium with index of refraction n2 < nị and undergoes total internal reflection. (i) Show that the beam penetrates the second medium to a depth of order L = njwVsin? 0; – sin² 0. where 0, is the critical angle and w is the frequency.

2. A plane-wave, monochromatic beam traveling in a medium with index of refraction n1 is incident at angle 0; on the plane boundary surface of a medium with index of refraction n2 < nị and undergoes total internal reflection. (i) Show that the beam penetrates the second medium to a depth of order L = njwVsin? 0; – sin² 0. where 0, is the critical angle and w is the frequency.