Exact algebraic glass choice in the cemented doublet with aplanatic and achromatic correction

Tadeusz Kryszczynski

doi:10.1117/12.545132

21 November 2003 Exact algebraic glass choice in the cemented doublet with aplanatic and achromatic correction

Tadeusz Kryszczynski

Proceedings Volume 5259, 13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of Contemporary Optics; (2003) https://doi.org/10.1117/12.545132
Event: 13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of contemporary Optics, 2002, Krzyzowa, Poland

Abstract

The algebraic method for correction of aberrations was exploited in this work both for solving the problem of optical glass selection and for determining the radii of curvatures of cemented doublet. Exact aperture aberrations in the meridional plane are taken into consideration and the only limitation is the usage of the spherical surfaces. Optical properties of the hypothetical optical glass were determined with the use of only two parameters. Method consists in the solution of the system of 13 nonlinear equations, where unknowns are the angles of incidence at each surface of 4 specific rays and one parameter connected with the optical glass properties. Finite lens thicknesses selected for given aperture are fixed similarly to some glass parameters. Two approaches are recommended to solve the problem of the selection of the first optical glass. The algebraic analysis of the selection of hypothetical optical glass in the cemented doublet with the leading crown for the most interesting range of variation of the refractive indices of the crown and flint glass was performed. An example of full calculations of cemented doublet f10013 was given together with the algebraic choice of catalog glasses and determination of radii of curvatures.

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Tadeusz Kryszczynski "Exact algebraic glass choice in the cemented doublet with aplanatic and achromatic correction", Proc. SPIE 5259, 13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of Contemporary Optics, (21 November 2003); https://doi.org/10.1117/12.545132

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KEYWORDS

Glasses

Refractive index

Monochromatic aberrations

Flint glass

Colorimetry

Crown glass

Aberration correction

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