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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Duality relation between nonspherical mirror optical cavities and its application to gravitational-wave detectors
Juri Agresti1, Yanbei Chen, Erika D'Ambrosio
1Istituto di Fisica Applicata Nello Carrara-CNR, Sesto Fiorentino (FI), Italy. j.agresti@ifac.cnr.it
Abstract:
In this paper, we analytically prove a unique duality relation between the eigenspectra of paraxial optical cavities with nonspherical mirrors: a one-to-one mapping between eigenmodes and eigenvalues of cavities deviating from flat mirrors by h(r) and cavities deviating from concentric mirrors by -h(r), where h need not be a small perturbation. We then illustrate its application to optical cavities, proposed for advanced interferometric gravitational-wave detectors, where the mirrors are designed to support beams with rather flat intensity profiles over the mirror surfaces. This unique mapping might be very useful in future studies of alternative optical designs for advanced gravitational wave interferometers or experiments employing optical cavities with nonstandard mirrors.
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