Q3/A/We wish to coat a glass surface with an appropriate dielectric layer to provide total transmission from 1.45. air to the glass at a free-space wavelength of 570 nm. The glass has refractive index n3 = Determine the required index for the coating and its minimum thickness.

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An ideal polarizing sheet transmits 90% of the incident partially polarized light. The polarizing sheet is now rotated through 45 degrees; during the rotation process the transmitted light monotonically decreases in intensity. What fraction of the incident intensity now passes? O a. 0% O b. between 40% and 90% O c. Between 50% and 80% O d. 50% O e. Between 0 and 50%

Components of some computers communicate with each other through optical fibers having an index of refraction n = 1.65. What time in nanoseconds is required for a signal to travel 0.17 m through such a fiber?  ns

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Electromagnetic Plane Waves: In infrared optical systems germanium is often used to form optical components. For infrared wavelengths, germanium can be considered lossless, non-magnetic (u- 1) and has a relative dielectric constant e 16. Consider a plane wave inside a piece of germanium incident at the interface between germanium and air. The plane wave is polarized parallel to the plane of incidence and the angle of incidence is halfway between the Brewster angle and the critical angle for total internal reflection. Germanium: Air: H1 = Ho i E1 = 16e, H2 = Ho i €2 = €o %3. Be A, a) What is the angle of incidence? b) What are the reflection and transmission coefficients for the wave at this angle of incidence?

A.) Polarized light is incident on 6 polarizing sheets. The axis of the first polarized sheet makes an angle 0 with the plane of polarization. Each subsequent sheet has an axis that is rotated by an angle e from that of adjacent sheets. Find e if 34% of the incident intensity is transmitted by the sheets. B.) Suppose you want to rotate the plane of polarization of a beam of polarized light by 78°, but you do not want the final intensity to be less than 53% of the initial intensity. What is the minimum number of polarizing sheets you must use? Assume that each sheet is rotated the same angle relative to the adjacent sheets. sheets