Problem 11.5 – Double slit interferenceDo 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 thindielectric 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 Lis large enough so that the far field approximations may be used, that is, the pattern depends onlyon 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.

Answered: Image /qna-images/answer/a0a6775c-5e10-4b41-8268-6f3564716968.jpg

Answered: Problem 11.5 – Double slit interference…

Similar questions

S1 and S2 in the figure below are effective point sources of radiation, excited by the same oscillator. They are coherent and in phase with eachother. Placed a distance d=4.17m apart, they emit equal amounts of power in the form of 1.06m wavelength electromagnetic waves. (PHYS 1801 CL06) (a) Find the positions of the first, second, and third maxima of the received signal, as the detector D is moved along the x axis starting at 0. (b) Write an equation that you could use to find the location of any minima and find the position of at least one minimum on the x axis. y S2 d D x- 's ]o
Suppose that a thin piece of glass were placed in front of the lower slit in a double-slit apparatus so that the amplitude for a photon of wavelength λ to reach that slit differs in phase by 180 degrees with the amplitude to reach the top slit. What is the minimum thickness of the glass required, assuming the index of refraction for the glass is n?
A mode-locked laser has a linewidth of 100nm at a center wavelength 1050nm. Assume the pulse shape is hyberbolic secant and it is transform limited. What is the pulse width (in fs)? (round all answers to 1 sig. fig. after decimal point) a.116.0 b.11.6 c.5.8 d.58.0 e.100.0
h) The difference in arrival time between wave-packets with centre frequencies of ω1 and ω2 is Δt. What is DM in terms of Δt ?
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?)
Suppose a 1.8 μm wide slit produces its first minimum for 425 nm violet light.Randomized Variablesλv = 425 nmλr = 725 nmw = 1.8 μm Part A) Calculate the angle at which this occurs for violet light in degrees. Part B ) Where is the first minimum (in degrees) for 725 nm red light?