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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