Saleh & Teich Problem 6.2-6 (Note: There is a sign error in S&T eq. (6.2-13) - the leading – sign should be a + sign.) 6.2-6 Retardation Associated with Total Internal Reflection. Determine the phase retardation between the TE and TM waves that is introduced by total internal reflection at the boundary between glass (n = 1.5) and air (n = 1) at an angle of incidence 0 = 1.20, where is the critical angle.

Determine the probability that a photon is detected at the location of the first minimum of a 3-slit grating if the thrid slit is closed. You can assume that the magnitude of the probability amplitude due to each slit is r.  (Hint: Start by showing how the complex amplitudes from each slit add up to zero at the first minimum. What is the resulting amplitude if the first amplitude is eliminated?)

3.2 (a) Determine the absorption coefficient for Si illumination form radiation with wavelength equal to 0.5 μm. (b) Calculate the thickness of Si that will absorb 60, 70, 80 and 90% of the photon energy/cm²s

The ship in the figure below travels along a straight line parallel to the shore and a distance d = 700 m from it. The ship's radio receives simultaneous signals of the same frequency from antennas A and B, separated by a distance L = 810 m. The signals interfere constructively at point C, which is equidistant from A and B. The signal goes through the first minimum at point D, which is directly outward from the shore from point B. Determine the wavelength of the radio waves.

4

Answer all these questions

A Fabry-Perot device contains two parallel part-reflective surfaces, each with a power reflection coefficient R = 0.9, separated by an air gap of 0.05 mm. The device is used at near-normal inci- dence with a transmission maximum at wavelength 600 nm. Calculate the coefficient of finesse, and the resolving power.