focusing by an arbitrary opening paraboloid mirror and its application in confocal scanning microscopy

Tao Liu; Jiubin Tan; Yuhang Wang; Wang Chao; Jian Liu

doi:10.1117/12.2014045

31 January 2013 focusing by an arbitrary opening paraboloid mirror and its application in confocal scanning microscopy

Tao Liu, Jiubin Tan, Yuhang Wang, Wang Chao, Jian Liu

Proceedings Volume 8759, Eighth International Symposium on Precision Engineering Measurement and Instrumentation; 87591Z (2013) https://doi.org/10.1117/12.2014045
Event: International Symposium on Precision Engineering Measurement and Instrumentation 2012, 2012, Chengdu, China

Abstract

Focusing of the plane wave with radially polarized electric field by an arbitrary opening paraboloid mirror is analyzed using a rigorous vectorial diffraction theory, i.e., Stratton-Chu integral. In the vicinity of the focus, far-field approximation conditions are used to simplify the derived integrals with sufficiently high accuracy. It is found that a noticeable deviation of the approximate integral, as characterized by a phenomenon of focal shift, from the exact integral can be observed when the maximum focusing semi-angle α below π/9. For α=π/2, the radial spot size reduces to below 0.40λ if cutting off the central segment, larger than π/4, of the paraboloid mirror. The sharp focusing property of the paraboloid mirror has the potential application in super-resolution confocal scanning microscopy. Specific confocal scanning arrangements are provided and remarked.

Citation Download Citation

Tao Liu, Jiubin Tan, Yuhang Wang, Wang Chao, and Jian Liu "focusing by an arbitrary opening paraboloid mirror and its application in confocal scanning microscopy", Proc. SPIE 8759, Eighth International Symposium on Precision Engineering Measurement and Instrumentation, 87591Z (31 January 2013); https://doi.org/10.1117/12.2014045

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