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Buchdahl’s glass dispersion coefficients calculated from Schott equation constants

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Abstract

A method for the rapid evaluation of Buchdahl’s dispersion coefficients at an arbitrary base wavelength given the Schott equation constants is presented. Buchdahl’s chromatic coordinate transformation is performed on the Schott equation for the refractive index. A Taylor series expansion of the transformed Schott equation is then equated to the square of the Buchdahl dispersion model. Equations for Buchdahl’s dispersion coefficients are then obtained for any base wavelength by matching the powers of Buchdahl’s chromatic coordinate ω out to fourth order.

© 1989 Optical Society of America

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Equations (16)

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