A method is presented for finding the output phase front psi(r,phi) of a large Fresnel number unstable resonator with mirror misfigures and misalignments. The technique, which is based on geometric optics, can also be used to analyze the effects of index of refraction variations. The near-field phase is then used to find the far-field on-axis intensity.

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http://dx.doi.org/10.1364/AO.20.003172DOI Listing

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A method is presented for finding the output phase front psi(r,phi) of a large Fresnel number unstable resonator with mirror misfigures and misalignments. The technique, which is based on geometric optics, can also be used to analyze the effects of index of refraction variations. The near-field phase is then used to find the far-field on-axis intensity.

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Computer studies have shown that azimuthal static mirror misfigures as small as lambda/20 can lead to severe degradation in the far field on axis intensity for resonators with an annular gain region. This poor far-field pattern can, however, be dramatically improved by the use of adaptive elements within the resonator. A rear cone in the resonator had a static misfigure applied to it, and an adaptive ring axicon located in the front of the resonator was deformed in such a way as to compensate for the misfigure of the rear element of the resonator.

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