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Proceedings Paper

Design of closed-boundary microcylindrical lenses with long focal depth and condensed lateral section
Author(s): Ben-Yuan Gu; Jia-Sheng Ye; Bi-Zhen Dong
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Paper Abstract

We propose a new kind of closed-boundary axilens (CBA) for achieving the property of the increasing focal depth even when the f-numbers of system <2/3, superior to an open boundary axilens (OBA). As the propagating beam in the CBA is experienced twice modulations by two boundaries ( closed-boundary) of the CBA, consequently, the focal depth of the CBA may be longer than that of the OBA in which the incident wave is modulated only once. In this presentation, we analyze the focusing characteristics of the CBA with the use of the boundary integral method. The numerical simulations show that the CBA can produce long focal depth for the preset focal depth of 3 and 5 μm in the small f / # of 2/3 , 1/2, and 1/3. For a comparison, we also carry out the calculation for the OBA in the same parameters as those of the CBA. We find that the ratio of the relatively extended focal depth for the CBA to that of the conventional micro-lens is 1.57 (or 2.17) for the preset focal depth of 3μm (or 5μm) at f / # set to 1/2. In contrast, this ratio for the OBA is only 0.75 (or 1.04) for the preset depth of 3μm (or 5μm), with fixed f / # of 1/2. The results sufficiently verify that the CBA has good superiority of long focal depth even for the lower f / # <2/3. In contrast, the OBA almost loses the property of long focal depth for the lower f / # <2/3. It is expected that the proposed CBA may be much useful for practical applications in MEMS.

Paper Details

Date Published: 14 November 2002
PDF: 8 pages
Proc. SPIE 4935, Smart Structures, Devices, and Systems, (14 November 2002); doi: 10.1117/12.469067
Show Author Affiliations
Ben-Yuan Gu, Institute of Physics (China)
Jia-Sheng Ye, Institute of Physics (China)
Bi-Zhen Dong, Institute of Physics (China)

Published in SPIE Proceedings Vol. 4935:
Smart Structures, Devices, and Systems
Erol C. Harvey; Derek Abbott; Vijay K. Varadan, Editor(s)

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