Problem 11.5 – Double slit interference Do problem 8.9 from Bekefi, and Barrett. Electromagnetic Vibrations, Waves and Radiation. Cambridge, MA: The MIT Press, September 15, 1977. ISBN: 0262520478. A plane electromagnetic wave of wavelength Ao is incident on two long, narrow slits, each hav- ing width 2a and separated by a distance 2b, with b > a. One of the slits is covered by a thin dielectric plate of thickness d, and dielectric coefficient k, with d chosen so that (VE-1)d/Ao = 5/2. The interference pattern due to the slits is observed in a plane a distance L from the slits, where L is large enough so that the far field approximations may be used, that is, the pattern depends only on the angle 0 from the normal to the slits, as shown. (a) Consider effects due to interference only. What is the condition for a maximum in the pattern? Sketch the interference pattern.

Problem 11.5 – Double slit interference Do problem 8.9 from Bekefi, and Barrett. Electromagnetic Vibrations, Waves and Radiation. Cambridge, MA: The MIT Press, September 15, 1977. ISBN: 0262520478. A plane electromagnetic wave of wavelength Ao is incident on two long, narrow slits, each hav- ing width 2a and separated by a distance 2b, with b > a. One of the slits is covered by a thin dielectric plate of thickness d, and dielectric coefficient k, with d chosen so that (VE-1)d/Ao = 5/2. The interference pattern due to the slits is observed in a plane a distance L from the slits, where L is large enough so that the far field approximations may be used, that is, the pattern depends only on the angle 0 from the normal to the slits, as shown. (a) Consider effects due to interference only. What is the condition for a maximum in the pattern? Sketch the interference pattern.