Design of highly efficient far-field beam shapers with irregular maskless microlens arrays

Dmitrii Stefanidi; Dmitrii Stefanidi; Leo M. Wilhelm; Peter Schreiber; Robert Brüning; Andreas Tünnermann; Andreas Tünnermann

doi:10.1364/AO.516730

Applied Optics
Vol. 63,
Issue 12,
pp. 3046-3057
(2024)
•https://doi.org/10.1364/AO.516730

Design of highly efficient far-field beam shapers with irregular maskless microlens arrays

Dmitrii Stefanidi, Leo M. Wilhelm, Peter Schreiber, Robert Brüning, and Andreas Tünnermann

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Dmitrii Stefanidi, Leo M. Wilhelm, Peter Schreiber, Robert Brüning, and Andreas Tünnermann, "Design of highly efficient far-field beam shapers with irregular maskless microlens arrays," Appl. Opt. 63, 3046-3057 (2024)

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Abstract

Regular tandem microlens arrays are well described and widely used for beam shaping and homogenization. Applying absorbing slides between the entrance and exit lenslets and channel-wise variation of the slides’ shape and size allows flexible control of the beam’s intensity profile and silhouette. The downside of absorbing slides is a significant transmission loss, limiting the achievable level of system efficiency. This work describes a more efficient method for micro-optical beam shaping with maskless irregular microlens arrays (iMLA). The iMLAs are completely absorption-free elements, enhancing the overall efficiency of the optical system. We describe basic design rules for iMLAs, including stray-light suppression, tolerancing, and modeling under consideration of manufacturing imperfections.

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Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Equations (14)

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Channel # (X)	1	2	3	4	5
$H_{C_{X}}$	0.116	0.161	0.072	0.161	0.116
$D_{C_{X}}$	−0.009	0.018	0.000	−0.018	0.009
$D_{P_{X}}$	0.071	−0.036	0.000	0.036	−0.072
$Z_{C_{X}}$	0.005	0.000	0.013	0.000	0.005
$Z_{P_{X}}$	−0.003	0.000	−0.005	0.000	−0.003
$C_{C_{X}} = C_{P_{X}}$	0.9766
$k_{C_{X}} = k_{P_{X}}$	0.0

Channel # (Y)	$H_{C_{Y}}$	$D_{C_{Y}}$	$D_{P_{Y}}$	$Z_{C_{Y}}$	$Z_{P_{Y}}$	$C_{C_{Y}} = C_{P_{Y}}$	$k_{C_{Y}} = k_{P_{Y}}$
1	0.125	0.032	0.014	0.008	−0.015	−0.9766	0.0
2	0.107	0.015	0.015	0.016	−0.012
3	0.125	−0.004	0.050	0.015	−0.003
4	0.143	0.015	−0.021	0.014	0.000
5	0.071	−0.022	0.014	0.022	−0.001
6	0.197	−0.004	−0.093	0.004	−0.007
7	0.054	−0.004	0.086	0.020	−0.008
8	0.179	−0.022	−0.093	0.002	−0.008
9	0.089	−0.004	0.086	0.010	−0.010
10	0.161	−0.004	−0.057	0.000	−0.009

Channel # (X)	1	2	3	4	5
$H_{C_{X}}$	0.116	0.161	0.072	0.161	0.116
$D_{C_{X}}$	−0.009	0.018	0.000	−0.018	0.009
$D_{P_{X}}$	0.071	−0.036	0.000	0.036	−0.072
$Z_{C_{X}}$	0.005	0.000	0.013	0.000	0.005
$Z_{P_{X}}$	−0.003	0.000	−0.005	0.000	−0.003
$C_{C_{X}} = C_{P_{X}}$	0.9766
$k_{C_{X}} = k_{P_{X}}$	0.0

Channel # (Y)	$H_{C_{Y}}$	$D_{C_{Y}}$	$D_{P_{Y}}$	$Z_{C_{Y}}$	$Z_{P_{Y}}$	$C_{C_{Y}} = C_{P_{Y}}$	$k_{C_{Y}} = k_{P_{Y}}$
1	0.125	0.032	0.014	0.008	−0.015	−0.9766	0.0
2	0.107	0.015	0.015	0.016	−0.012
3	0.125	−0.004	0.050	0.015	−0.003
4	0.143	0.015	−0.021	0.014	0.000
5	0.071	−0.022	0.014	0.022	−0.001
6	0.197	−0.004	−0.093	0.004	−0.007
7	0.054	−0.004	0.086	0.020	−0.008
8	0.179	−0.022	−0.093	0.002	−0.008
9	0.089	−0.004	0.086	0.010	−0.010
10	0.161	−0.004	−0.057	0.000	−0.009

Abstract

Data availability

Cited By

Figures (14)

Tables (2)

Equations (14)

Applied Optics