Design of microlenses with long focal depth based on the general focal length function

Jie Lin; Jianlong Liu; Jiasheng Ye; Shutian Liu

doi:10.1364/JOSAA.24.001747

Design of microlenses with long focal depth based on the general focal length function

Jie Lin, Jianlong Liu, Jiasheng Ye, and Shutian Liu

Journal of the Optical Society of America A
Vol. 24,
Issue 6,
pp. 1747-1751
(2007)
•https://doi.org/10.1364/JOSAA.24.001747

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Jie Lin, Jianlong Liu, Jiasheng Ye, and Shutian Liu, "Design of microlenses with long focal depth based on the general focal length function," J. Opt. Soc. Am. A 24, 1747-1751 (2007)

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Related Topics
Table of Contents Category
- Optical Design and Fabrication
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Diffraction and gratings (050.0050)
- Diffractive optics (050.1970)
- Lens system design (220.3620)

About this Article
History
- Original Manuscript: November 22, 2006
- Manuscript Accepted: January 5, 2007
- Published: May 9, 2007

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Abstract

A general focal length function is proposed to design microlenses with long extended focal depth and high lateral resolution. The focal performance of the designed microlenses, including the actual focal depth, the focal spot size, and the diffraction efficiency, is calculated by rigorous electromagnetic theory and the boundary-element method for several f-numbers. In contrast to conventional microlenses, the numerical results indicate that the designed microlenses can exhibit long extended focal depth and good focal performance. It is expected that the long focal length function will be widely used to design microlenses with long focal depth characteristics.

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b	Beginning Position $(μ m)$	Real Focal Position $(μ m)$	Ending Position $(μ m)$	Extended Focal Depth $Δ f (μ m)$	Focal Spot Size $d (μ m)$	Diffraction Efficiency η $(%)$
0.5	$- 21.76$	$- 25.53$	$- 30.57$	8.81	2.91	80.85
1.0	$- 21.35$	$- 25.10$	$- 30.02$	8.67	2.91	80.35
2.0	$- 20.41$	$- 24.10$	$- 28.77$	8.36	2.85	77.62
4.0	$- 18.52$	$- 22.17$	$- 26.45$	7.93	2.77	72.69
6.0	$- 16.99$	$- 20.61$	$- 24.69$	7.70	2.70	70.65

b	Beginning Position $(μ m)$	Real Focal Position $(μ m)$	Ending Position $(μ m)$	Extended Focal Depth $Δ f (μ m)$	Focal Spot Size $d (μ m)$	Diffraction Efficiency η $(%)$
0.5	$- 28.71$	$- 34.49$	$- 42.83$	14.12	3.75	82.43
1.0	$- 28.40$	$- 34.14$	$- 42.34$	13.95	3.73	82.35
2.0	$- 27.68$	$- 33.34$	$- 41.25$	13.57	3.69	81.67
4.0	$- 26.39$	$- 31.84$	$- 39.22$	12.83	3.61	80.28
6.0	$- 25.43$	$- 30.70$	$- 37.71$	12.29	3.52	79.57

b	Beginning Position $(μ m)$	Real Focal Position $(μ m)$	Ending Position $(μ m)$	Extended Focal Depth $Δ f (μ m)$	Focal Spot Size $d (μ m)$	Diffraction Efficiency η $(%)$
0.5	$- 21.76$	$- 25.53$	$- 30.57$	8.81	2.91	80.85
1.0	$- 21.35$	$- 25.10$	$- 30.02$	8.67	2.91	80.35
2.0	$- 20.41$	$- 24.10$	$- 28.77$	8.36	2.85	77.62
4.0	$- 18.52$	$- 22.17$	$- 26.45$	7.93	2.77	72.69
6.0	$- 16.99$	$- 20.61$	$- 24.69$	7.70	2.70	70.65

b	Beginning Position $(μ m)$	Real Focal Position $(μ m)$	Ending Position $(μ m)$	Extended Focal Depth $Δ f (μ m)$	Focal Spot Size $d (μ m)$	Diffraction Efficiency η $(%)$
0.5	$- 28.71$	$- 34.49$	$- 42.83$	14.12	3.75	82.43
1.0	$- 28.40$	$- 34.14$	$- 42.34$	13.95	3.73	82.35
2.0	$- 27.68$	$- 33.34$	$- 41.25$	13.57	3.69	81.67
4.0	$- 26.39$	$- 31.84$	$- 39.22$	12.83	3.61	80.28
6.0	$- 25.43$	$- 30.70$	$- 37.71$	12.29	3.52	79.57

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Equations (5)

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