Aberrations of refracting surfaces between gradient-index media using a Lie algebraic approach

A. Barion; M.J.H. Anthonissen; J.H.M. ten Thije Boonkkamp; W.L. Ijzerman

doi:10.1364/JOSAA.540728

Aberrations of refracting surfaces between gradient-index media using a Lie algebraic approach

A. Barion (Corresponding author), M.J.H. Anthonissen, J.H.M. ten Thije Boonkkamp, W.L. Ijzerman

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

Abstract

This paper demonstrates how to derive analytical expressions for aberration coefficients for refraction at curved interfaces between rotationally symmetric gradient-index (GRIN) media. The expansion formulas are encoded using the Lie algebraic method. Previous results about aberrations during propagation in GRIN media can be readily combined with the formulas in this paper, allowing us to completely describe ray paths through rotationally symmetric inhomogeneous media with curved end surfaces. The presented aberration coefficients are used to optimize the front surface of a focusing GRIN rod together with its refractive index parameters, with promising results.

Original language	English
Pages (from-to)	129-138
Number of pages	10
Journal	Journal of the Optical Society of America A: Optics and Image Science, and Vision
Volume	42
Issue number	2
DOIs	https://doi.org/10.1364/JOSAA.540728
Publication status	Published - 1 Feb 2025

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© 2025 Optica Publishing Group. All rights, including for text and data mining (TDM), Artificial Intelligence (AI) training, and similar technologies, are reserved.

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10.1364/JOSAA.540728

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title = "Aberrations of refracting surfaces between gradient-index media using a Lie algebraic approach",

abstract = "This paper demonstrates how to derive analytical expressions for aberration coefficients for refraction at curved interfaces between rotationally symmetric gradient-index (GRIN) media. The expansion formulas are encoded using the Lie algebraic method. Previous results about aberrations during propagation in GRIN media can be readily combined with the formulas in this paper, allowing us to completely describe ray paths through rotationally symmetric inhomogeneous media with curved end surfaces. The presented aberration coefficients are used to optimize the front surface of a focusing GRIN rod together with its refractive index parameters, with promising results.",

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Aberrations of refracting surfaces between gradient-index media using a Lie algebraic approach. / Barion, A. (Corresponding author); Anthonissen, M.J.H.; ten Thije Boonkkamp, J.H.M. et al.
In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 42, No. 2, 01.02.2025, p. 129-138.

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

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AU - Anthonissen, M.J.H.

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AU - Ijzerman, W.L.

PY - 2025/2/1

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AB - This paper demonstrates how to derive analytical expressions for aberration coefficients for refraction at curved interfaces between rotationally symmetric gradient-index (GRIN) media. The expansion formulas are encoded using the Lie algebraic method. Previous results about aberrations during propagation in GRIN media can be readily combined with the formulas in this paper, allowing us to completely describe ray paths through rotationally symmetric inhomogeneous media with curved end surfaces. The presented aberration coefficients are used to optimize the front surface of a focusing GRIN rod together with its refractive index parameters, with promising results.

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Aberrations of refracting surfaces between gradient-index media using a Lie algebraic approach

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