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Resolving power in holographic Fourier-transform spectroscopy and the effects of nonlinear film response

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Abstract

A general formulation is given, including the nonlinearity of a film’s t-E curve, on the intensity distribution of the reconstructed spectrum in holographic Fourier-transform spectroscopy, and a discussion on resolution follows. It is shown that Rayleigh’s criterion never applies except for a doublet under a special situation. The amplitude cancellation mechanism, which is responsible for a recently reported very good resolution, is not of much advantage when the spectrum is not a simple doublet. A third-order approximation is used to study the nonlinear effect, and a doublet case is analyzed in detail for positions and intensities of the higher-order lines.

© 1976 Optical Society of America

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