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Applied Optics

Line-shape studies for single- and triple-pass Fabry–Perot interferometer systems

Edward D. Palik, Hacène Boukari, Robert W. Gammon

Published Jan 1, 1995• 7 citations
Publisher

Abstract

To test the model developed in the preceding paper [Appl. Opt. 34, this issue (1994)] regarding the line shape produced by a Fabry-Perot interferometer system in a multipass mode, we have used three Lorentzian line shapes formed in scattering processes and subjected them to single and triple passes with some variation in the pinhole diameter. In most cases we find good agreement with the calculations with the only adjustable parameter being the single-pass contrast C(1). Where differences occur, plausible explanations are offered.

DOI
10.1364/ao.34.000058

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To test the model developed in the preceding paper [Appl. Opt. 34, this issue (1994)] regarding the line shape produced by a Fabry-Perot interferometer system in a multipass mode, we have used three Lorentzian line shapes formed in scattering processes and subjected them to single and triple passes with some variation in the pinhole diameter. In most cases we find good agreement with the calculations with the only adjustable parameter being the single-pass contrast C(1). Where differences occur, plausible explanations are offered.
We have calculated the line profiles to be expected when a Fabry–Perot interferometer is used to measure absorption lines. We have shown that large errors may be introduced in the measurement of the integrated absorption, even when an interferometer of high finesse is used. Curves and tables are given for finding the true absorption width and the true peak absorption from the apparent values observed under different operating conditions of the emission light source and the interferometer. We show qualitatively that the distortions are partially due to the presence of nonzero wings in the instrument-bandpass function. Finally, we show a Fourier series expansion of the integral giving the transmittance of the Fabry-Perot interferometer when absorbing atoms are in the light path.
This communication has considered the case of a Fabry-Perot cavity with light impinging on one end while the field distribution on the other end is observed. It has been shown that if one starts with a wave that can be expanded into the modes of the integral operator, and if the medium in the cavity is passive, more than one mode would be observed at the other end although the amplitude of the dominant mode can be much greater than that of the other modes. It was further shown that if there is present an active medium with sufficient gain there will be only a single mode, and the single mode is necessary and sufficient for complete spatial coherency.
Summary New non-localized interference fringes, produced with a small source and a Fabry-Perot interferometer, are described. These extend into space in the form of cones, producing sharp rings when allowed to fall upon a screen. The properties of these rings are examined. A striking characteristic is that without lenses sharp rings of great diameter can be produced (diameter of first ring equal to half a metre). Complex patterns are produced with various slit sources. Possible applications of the new fringes are considered.