Buchdahl's glass dispersion coefficients calculated from schott equation constants

Patrick J. Reardon; Russell A. Chipman

doi:10.1364/AO.28.003520

Buchdahl's glass dispersion coefficients calculated from schott equation constants

Patrick J. Reardon, Russell A. Chipman

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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 coordinate ω out to fourth order.

Original language	English (US)
Pages (from-to)	3520-3523
Number of pages	4
Journal	Applied optics
Volume	28
Issue number	16
DOIs	https://doi.org/10.1364/AO.28.003520
State	Published - Aug 15 1989
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Engineering (miscellaneous)
Electrical and Electronic Engineering

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10.1364/AO.28.003520

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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 coordinate ω out to fourth order.",

author = "Reardon, {Patrick J.} and Chipman, {Russell A.}",

year = "1989",

month = aug,

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doi = "10.1364/AO.28.003520",

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AU - Chipman, Russell A.

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N2 - 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 coordinate ω out to fourth order.

AB - 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 coordinate ω out to fourth order.

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Buchdahl's glass dispersion coefficients calculated from schott equation constants

Abstract

ASJC Scopus subject areas

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