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Closed-form representations for third-order aberrations of two-aspherical mirror aplanats with the mirror tilt and decenter

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Abstract

Approximate equations are derived for imaging aberrations of two-aspherical-mirror aplanats for soft X-ray imaging. These expressions include the Seidel terms for unperturbed states and the axial coma resulting from the tilt and decenter of the mirror surface. A simple analytical method for reducing both the Seidel terms and the axial coma enables us to design novel soft X-ray imaging systems utilizing a wide field of view with reduced sensitivity to mirror misalignments. The method is illustrated by applying it to a two-mirror system for soft X-ray microscopy with a magnification m =−1/50. The design example showed an appreciable reduction in sensitivity, as compared with the existing anastigmatic designs that include a standard Schwarzschild configuration. Imaging aberrations of the novel system are also confirmed by a numerical ray tracing method.

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  1. Laboratory of Soft X-ray Microscopy, Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai, 980-8577, Japan

    Mitsunori Toyoda

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  1. Mitsunori Toyoda
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Toyoda, M. Closed-form representations for third-order aberrations of two-aspherical mirror aplanats with the mirror tilt and decenter. OPT REV 18, 441–447 (2011). https://doi.org/10.1007/s10043-011-0083-2

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  • DOI: https://doi.org/10.1007/s10043-011-0083-2

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