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(a) For a one-dimensional periodic object illuminated by a uniform plane wave, f

ID: 1922641 • Letter: #

Question

(a) For a one-dimensional periodic object illuminated by a uniform plane wave, find the location of the longitudinal self-imaging planes. [4]
(b) If the self-imaging planes are 1 cm apart, what is the transverse periodicity of the object? Assume the wavelength of illumination as 1 micron. [3]
(c) Also, find the locations of the planes where one can observe contrast reversal. [3 (a) For a one-dimensional periodic object illuminated by a uniform plane wave, find the location of the longitudinal self-imaging planes. [4]
(b) If the self-imaging planes are 1 cm apart, what is the transverse periodicity of the object? Assume the wavelength of illumination as 1 micron. [3]
(c) Also, find the locations of the planes where one can observe contrast reversal. [3

Explanation / Answer

solve the differential equation:
du/dv=uvsin(v^2)             u(0)=1