Design of closed-boundary microcylindrical lenses with long focal depth and condensed lateral section

Ben-Yuan Gu; Jia-Sheng Ye; Bi-Zhen Dong

doi:10.1117/12.469067

14 November 2002 Design of closed-boundary micro-cylindrical lenses with long focal depth and condensed lateral section

Ben-Yuan Gu, Jia-Sheng Ye, Bi-Zhen Dong

Proceedings Volume 4935, Smart Structures, Devices, and Systems; (2002) https://doi.org/10.1117/12.469067
Event: SPIE's International Symposium on Smart Materials, Nano-, and Micro- Smart Systems, 2002, Melbourne, Australia

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.

Citation Download Citation

Ben-Yuan Gu, Jia-Sheng Ye, and Bi-Zhen Dong "Design of closed-boundary micro-cylindrical lenses with long focal depth and condensed lateral section", Proc. SPIE 4935, Smart Structures, Devices, and Systems, (14 November 2002); https://doi.org/10.1117/12.469067

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