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Updated: Jun 28, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
Published on: October 11, 2016
A modular approach to the analytic calculation of spectral phase for grisms and other refractive/diffractive
Charles G Durfee1, Jeff A Squier, Steve Kane
1Department of Physics, Colorado School of Mines, Golden Colorado 80401, USA. cdurfee@mines.edu
Abstract:
Analytic expressions for spectral phase for optical systems are very important for the design of wide-bandwidth optical systems. We describe a general formalism for analytically calculating the spectral phase for arbitrary optical structure made up of nested pairs of plane-parallel interfaces that can be diffractive or refractive. Our primary application is the calculation of the spectral phase of a grism pair, which is then used to analyze the behavior of higher-order phase terms. The analytic expressions for the grism spectral phase provide insight into the tunability of the third-order phase of grisms as well as the fourth-order limits. Our exact and approximate expressions are compared with a raytracing model.
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