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1982•Journal of the Optical Society of AmericaRequires access

Unstable resonator with aspherical mirrors

Martin E. Smithers

Open publisher page 8 citations

Abstract

The geometric analysis of unstable optical resonators is extended to include mirrors with aspherical surfaces. This leads to a functional equation for the wave front of the geometric mode in terms of the mirror surface figures. In an example case, a solution is obtained for the aspherical feedback mirror required to produce a desired aspherical-output wave front, and the equivalent Fresnel number is calculated as a function of mirror aperture. Various possible uses of aspherical mirrors in unstable resonators are suggested.

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What this paper is about

The geometric analysis of unstable optical resonators is extended to include mirrors with aspherical surfaces. This leads to a functional equation for the wave front of the geometric mode in terms of the mirror surface figures. In an example case, a solution is obtained for the aspherical feedback mirror required to produce a desired aspherical-output wave front, and the equivalent Fresnel number is calculated as a function of mirror aperture. Various possible uses of aspherical mirrors in unstable resonators are suggested.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The geometric analysis of unstable optical resonators is extended to include mirrors with aspherical surfaces. This leads to a functional equation for the wave front of the geometric mode in terms of the mirror surface figures. In an example case, a solution is obtained for the aspherical feedback mirror required to produce a desired aspherical-output wave front, and the equivalent Fresnel number is calculated as a function of mirror aperture. Various possible uses of aspherical mirrors in unstable resonators are suggested.

Key concepts: Resonator, Optics, Fresnel number, Physics, Curved mirror, Wavefront, Aperture (computer memory), Fresnel equations

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