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Integral equation for a 90° or a quasi-90° roof-mirror optical resonator

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Abstract

An approximate expression is derived for the Green’s function of a roof mirror with roof angle close or equal to 90°. This expression, which takes into account multiple-radiation effects, is used to write the integral equation for the eigenfunctions of an open resonator formed by two equal roof mirrors (with parallel wedges). By assuming as eigenfunction the field distribution at the points of a mirror in the absence of the mirror (impinging field), the integral equation turns out to be of the Fredholm type, as in the case of resonators formed by smooth mirrors. The integral equation has been solved for several values of the parameters. Some results are reported and discussed.

© 1974 Optical Society of America

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Equations (23)

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