Light of free-space wavelength 20 = 0.75 um is guided by a thin planar film of thickness d=2.5 μm and refractive index ni = 1.65, surrounded by a medium of refractive index n2 =1.45. (a) Determine (i) the critical angle Oc; (ii) the numerical aperture NA; and (iii) the maximum acceptance angle ao for light originating in air (no = 1.00).

Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Holine. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is kept at a constant temperature. (a) Find the minimum value of d that will produce maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.400. (Enter your answer to one decimal place.) nm (b) If the temperature of the filter increases above the normal value increasing its thickness, what happens to the transmitted wavelength? (Assume the index of refraction of the dielectric remains constant.) ---Select--- (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nm

White light is sent through an interface of a 100% (w/v) glycerol solution (n = 1.474) and a 20% (w/v) sucrose solution (n2 = 1.364) at an angle of Oj. Incident ray Reflocted ray If O, = 33', determine the angle of O2 in degrees. Refructive index = , O2 Refractive index – n, If O, = 0, determine the angle of 02 in degrees. Refractod ray

To make a hologram using an Argon laser (1 = 0.488 µm), the maximum angle between objective and reference beams is 0max resolution (or spatial frequency) of the holographic recording film (fo – lines per mm)? 40°. What is the requirement on the minimum 0.633 um). Assume that z, When the hologram is reconstructed using a HeNe laser (A 10cm, z, = 2z,, Zp transversal and axial magnification (M; and Ma). = 00, please compute virtual and real image locations (Fz;), the