Ray-transfer matrix for GRIN lenses: Application to the crystalline lens

Antonio Barion; Martijn J.H. Anthonissen; Jan H.M. ten Thije Boonkkamp; Wilbert L. IJzerman

doi:10.1364/JOSAA.526106

Ray-transfer matrix for GRIN lenses: Application to the crystalline lens

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

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Abstract

We present a Hamiltonian optics approach to determine the paraxial propagation of rays in gradient-index (GRIN) media. A derivation of the evolution equation for the corresponding ray-transfer matrix is given. An analytical solution can be found for a certain class of GRIN media. The proposed matrix is shown to be a generalization of the well-known matrices for planar and cylindrical GRIN lenses. We provide the accuracy results when applying our analytical method to arbitrary refractive indices and verify its validity by comparing it to other matrices in the literature with satisfactory results.

Original language	English
Pages (from-to)	1656-1663
Number of pages	8
Journal	Journal of the Optical Society of America A, Optics, Image Science and Vision
Volume	41
Issue number	9
DOIs	https://doi.org/10.1364/JOSAA.526106
Publication status	Published - 1 Sept 2024

Funding

Nederlandse Organisatie voor Wetenschappelijk Onderzoek (\u201CPhotolitho MCS\u201D (TKI-HTSM 19.0162)).

Funders	Funder number
Nederlandse Organisatie voor Wetenschappelijk Onderzoek	TKI-HTSM 19.0162

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10.1364/JOSAA.526106

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title = "Ray-transfer matrix for GRIN lenses: Application to the crystalline lens",

abstract = "We present a Hamiltonian optics approach to determine the paraxial propagation of rays in gradient-index (GRIN) media. A derivation of the evolution equation for the corresponding ray-transfer matrix is given. An analytical solution can be found for a certain class of GRIN media. The proposed matrix is shown to be a generalization of the well-known matrices for planar and cylindrical GRIN lenses. We provide the accuracy results when applying our analytical method to arbitrary refractive indices and verify its validity by comparing it to other matrices in the literature with satisfactory results.",

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Ray-transfer matrix for GRIN lenses: Application to the crystalline lens. / Barion, Antonio (Corresponding author); Anthonissen, Martijn J.H.; ten Thije Boonkkamp, Jan H.M. et al.
In: Journal of the Optical Society of America A, Optics, Image Science and Vision, Vol. 41, No. 9, 01.09.2024, p. 1656-1663.

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

TY - JOUR

T1 - Ray-transfer matrix for GRIN lenses: Application to the crystalline lens

AU - Barion, Antonio

AU - Anthonissen, Martijn J.H.

AU - ten Thije Boonkkamp, Jan H.M.

AU - IJzerman, Wilbert L.

PY - 2024/9/1

Y1 - 2024/9/1

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AB - We present a Hamiltonian optics approach to determine the paraxial propagation of rays in gradient-index (GRIN) media. A derivation of the evolution equation for the corresponding ray-transfer matrix is given. An analytical solution can be found for a certain class of GRIN media. The proposed matrix is shown to be a generalization of the well-known matrices for planar and cylindrical GRIN lenses. We provide the accuracy results when applying our analytical method to arbitrary refractive indices and verify its validity by comparing it to other matrices in the literature with satisfactory results.

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M3 - Article

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SN - 1084-7529

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JO - Journal of the Optical Society of America A, Optics, Image Science and Vision

JF - Journal of the Optical Society of America A, Optics, Image Science and Vision

IS - 9

ER -

Ray-transfer matrix for GRIN lenses: Application to the crystalline lens

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