Question

1) Two parallel beams of light are brought together on a surface. Each beam has wave length h-500 nm and intensity 1 W/m at the surface. What is the resultant intensity for each of the following path lengths or phase differences between the beams? Phase or path length difference Intensity (W/m) 0 radians (phase) T/2 radians (phase) 60 degrees (phase) 3π radians (phase) 300 nm (path length) 1000 nm (path length) 5.5 λ (path length) 2) A wave of wavelength à travels along a straight line between two points in space separated by distance L. a) Find the phase difference in the wave at these two points radians then distance La i mdum with index of refraction n, DistanceIndex Phase change in then distance L2 in a medium with index n2, then a b) A wave (A) with vacuum wavelength of Av travels a for wave for A region for A distance Ls in a medium of index ni. Fill in the table to the right with the change in phase for the wave traveling through each of these regions. /t n n3 n ni For wave A, what is the total change in phase from the start to the end of this path (in terms of distances, vacuum wavelength, and indexes of refraction)? c) radians Distance Index Phase change in region for Light wave B travels the same physical distances as beam A, but the index in one of the regions is different for Bfor B (Z2, n3). Fill in the phase change in the table to the right for this case. d) ni L2 n3 n n2 n ni In an interferometer, a single beam can be split so that part of it travels path A as above and the other travels path B. What is the difference in phase between these two beams in terms of (Li, n,, and λ.)? e) ) On which of the following variables does the phase difference between the two beams depend? (Circle all that apply) g) Some of the variables above don't matter. Explain which ones and why you think this is so L3 112 13 3) A beam of light of vacuum wavelength A,ac-600.00 nmis split into two beams Beam I travels the following lengths through the respective mediums Lair = 10 cm .Beam II travels the following lengths through the respective mediums Lair10 cm The index of refraction for each medium is: Dair 1.0003, nglass 1.5000, nvacuum 1.0000 a) Find the phase difference between AIR GLASS ass= 1 mm VACUUM = 1 mm GLASS alass = 1 mm AIR Lair 10 cm AIR GLASS | Lglass = 1 mm AIR AIR GLASS | Lvac-1 mm Lair = 10cm these two beams at the end of their paths. Mirror A Iglas Lvac Lglass Lai Screen Mirror B Semi Silvered Assuming each of the beams has power of 1W, find the intensity of the combined beams b) Beam Splitter Source INTERFEROMETER DIAGRAM

Answer 1

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