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1. Two layers of transparent glass with different indices of refraction are stacked on top of each other, one layer has index of refraction n, =1.600 and path length L, = 20.0µm while the other has index of refraction n, =1.430 and path length L, =16.0µm . Each layer is illuminated with a ray of light of air wavelength 1 =640.0 nm and the two parallel rays are initially in phase. After passing through the glass and air the two light rays are recombined at a point far away without further phase shifts and there is interference. a. What multiple of 1 gives the phase difference between the two paths after both rays have emerged from the layers and have been recombined far away from the layers? b. Is the interference totally constructive or totally destructive or partially constructive or partially destructive?

1. Two layers of transparent glass with different indices of refraction are stacked on top of each other, one layer has index of refraction n, =1.600 and path length L, = 20.0µm while the other has index of refraction n, =1.430 and path length L, =16.0µm . Each layer is illuminated with a ray of light of air wavelength 1 =640.0 nm and the two parallel rays are initially in phase. After passing through the glass and air the two light rays are recombined at a point far away without further phase shifts and there is interference. a. What multiple of 1 gives the phase difference between the two paths after both rays have emerged from the layers and have been recombined far away from the layers? b. Is the interference totally constructive or totally destructive or partially constructive or partially destructive?

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1. Two layers of transparent glass with different indices of refraction are stacked on top of each other, one layer has index of refraction n, =1.600 and path length L, = 20.0µm while the other has index of refraction n, =1.430 and path length L, =16.0µm . Each layer is illuminated with a ray of light of air wavelength 2 = 640.0 nm and the two parallel rays are initially in phase. After passing through the glass and air the two light rays are recombined at a point far away without further phase shifts and there is interference. a. What multiple of 1 gives the phase difference between the two paths after both rays have emerged from the layers and have been recombined far away from the layers? b. Is the interference totally constructive or totally destructive or partially constructive or partially destructive?
Transcribed Image Text:1. Two layers of transparent glass with different indices of refraction are stacked on top of each other, one layer has index of refraction n, =1.600 and path length L, = 20.0µm while the other has index of refraction n, =1.430 and path length L, =16.0µm . Each layer is illuminated with a ray of light of air wavelength 2 = 640.0 nm and the two parallel rays are initially in phase. After passing through the glass and air the two light rays are recombined at a point far away without further phase shifts and there is interference. a. What multiple of 1 gives the phase difference between the two paths after both rays have emerged from the layers and have been recombined far away from the layers? b. Is the interference totally constructive or totally destructive or partially constructive or partially destructive?
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