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Analytical calculation of Hermite-Gauss and Laguerre-Gauss modes on a bullseye photodiode

This note describes the analytical derivation of the response of bullseye detectors to optical beats between higher-order spatial modes of the Laguerre-Gauss form, and subsequently the Hermite-Gauss form. Also included is a comparison with numerically calculated beat coefficients, and a simple example of the use of the resulting beat coefficients in simulating a mode mismatch sensor for a Fabry-Perot cavity.

preprint2016arXivOpen access
Charlotte BondPaul FuldaAndreas Freise
physics.optics
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Charlotte BondPaul FuldaAndreas Freise

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