Designing afocal achromatic doublet lenses

María C. López-Bautista; Maximino Avendaño-Alejo; Ismael Velázquez-Gómez; Luis Castañeda

doi:10.1117/12.2603651

Designing afocal achromatic doublet lenses

María C. López-Bautista, Maximino Avendaño-Alejo, Ismael Velázquez-Gómez, Luis Castañeda

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A method for designing afocal achromatic doublet is presented. We have implemented an exact ray trace through a separated doublet lens considering a plane wavefront propagating along the optical axis. The analytic equation of both the caustic surface and the back focal length for separated doublet lenses are provided. Demanding that the back focal length tends to infinity, we impose the conditions to design afocal optical systems, obtaining sixth and fourth degree polynomials as a function of the radii of curvature. In order to produce an afocal achromatic optical system, we solve numerically a set of two nonlinear equations assuming two spectral lines. Therefore, we have two unknowns which are the curvature radii for both the front surface and the rear surface. The contribution of this work is to provide simple formulas for designing optical beam expander or reducer devices based on separated doublets.

Original language	English
Title of host publication	International Optical Design Conference 2021
Editors	Peter P. Clark, Richard N. Pfisterer, Henning Rehn, Simon Thibault
Publisher	SPIE
ISBN (Electronic)	9781510650305
DOIs	https://doi.org/10.1117/12.2603651
State	Published - 2021
Event	International Optical Design Conference 2021 - Washington, United States Duration: 27 Jun 2021 → 1 Jul 2021

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	12078
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	International Optical Design Conference 2021
Country/Territory	United States
City	Washington
Period	27/06/21 → 1/07/21

Keywords

Afocal optical systems
caustic surface
optical design
separated doublet lens

Access to Document

10.1117/12.2603651

Cite this

López-Bautista, M. C., Avendaño-Alejo, M., Velázquez-Gómez, I., & Castañeda, L. (2021). Designing afocal achromatic doublet lenses. In P. P. Clark, R. N. Pfisterer, H. Rehn, & S. Thibault (Eds.), International Optical Design Conference 2021 Article 1207816 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 12078). SPIE. https://doi.org/10.1117/12.2603651

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abstract = "A method for designing afocal achromatic doublet is presented. We have implemented an exact ray trace through a separated doublet lens considering a plane wavefront propagating along the optical axis. The analytic equation of both the caustic surface and the back focal length for separated doublet lenses are provided. Demanding that the back focal length tends to infinity, we impose the conditions to design afocal optical systems, obtaining sixth and fourth degree polynomials as a function of the radii of curvature. In order to produce an afocal achromatic optical system, we solve numerically a set of two nonlinear equations assuming two spectral lines. Therefore, we have two unknowns which are the curvature radii for both the front surface and the rear surface. The contribution of this work is to provide simple formulas for designing optical beam expander or reducer devices based on separated doublets.",

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López-Bautista, MC, Avendaño-Alejo, M, Velázquez-Gómez, I & Castañeda, L 2021, Designing afocal achromatic doublet lenses. in PP Clark, RN Pfisterer, H Rehn & S Thibault (eds), International Optical Design Conference 2021., 1207816, Proceedings of SPIE - The International Society for Optical Engineering, vol. 12078, SPIE, International Optical Design Conference 2021, Washington, United States, 27/06/21. https://doi.org/10.1117/12.2603651

Designing afocal achromatic doublet lenses. / López-Bautista, María C.; Avendaño-Alejo, Maximino; Velázquez-Gómez, Ismael et al.
International Optical Design Conference 2021. ed. / Peter P. Clark; Richard N. Pfisterer; Henning Rehn; Simon Thibault. SPIE, 2021. 1207816 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 12078).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Avendaño-Alejo, Maximino

AU - Velázquez-Gómez, Ismael

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N1 - Publisher Copyright: © COPYRIGHT SPIE. Downloading of the abstract is permitted for personal use only.

PY - 2021

Y1 - 2021

N2 - A method for designing afocal achromatic doublet is presented. We have implemented an exact ray trace through a separated doublet lens considering a plane wavefront propagating along the optical axis. The analytic equation of both the caustic surface and the back focal length for separated doublet lenses are provided. Demanding that the back focal length tends to infinity, we impose the conditions to design afocal optical systems, obtaining sixth and fourth degree polynomials as a function of the radii of curvature. In order to produce an afocal achromatic optical system, we solve numerically a set of two nonlinear equations assuming two spectral lines. Therefore, we have two unknowns which are the curvature radii for both the front surface and the rear surface. The contribution of this work is to provide simple formulas for designing optical beam expander or reducer devices based on separated doublets.

AB - A method for designing afocal achromatic doublet is presented. We have implemented an exact ray trace through a separated doublet lens considering a plane wavefront propagating along the optical axis. The analytic equation of both the caustic surface and the back focal length for separated doublet lenses are provided. Demanding that the back focal length tends to infinity, we impose the conditions to design afocal optical systems, obtaining sixth and fourth degree polynomials as a function of the radii of curvature. In order to produce an afocal achromatic optical system, we solve numerically a set of two nonlinear equations assuming two spectral lines. Therefore, we have two unknowns which are the curvature radii for both the front surface and the rear surface. The contribution of this work is to provide simple formulas for designing optical beam expander or reducer devices based on separated doublets.

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Designing afocal achromatic doublet lenses

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