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Proceedings Paper

Vector analysis of fast focusing by hyperbolic and spherical lenses
Author(s): Albert Y. Shih; Chun-Ching Shih
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Paper Abstract

The delivery of a high-power laser beam to the target area, either via fiber systems or free-space optical trains, requires an effective focusing optical element at the end of the delivering system. It can be derived that a hyperbolic lens has the optimal surface to achieve the best focusing effect. Using this type of lens, the rays representing the beam can make a large angle with respect to the axis and the incidence angle on the lens surface is far from normal. As a result, the ordinary scalar field theory with paraxial approximation is not valid in this case. In order to understand the performance of a hyperbolic lens, it is necessary to use the vector field theory and apply the Huygen's principle directly in the model. Using this method, we were able to show the performance of a hyperbolic lens is much better than that of a spherical lens.

Paper Details

Date Published: 3 April 2000
PDF: 7 pages
Proc. SPIE 3889, Advanced High-Power Lasers, (3 April 2000); doi: 10.1117/12.380869
Show Author Affiliations
Albert Y. Shih, TRW Space & Electronics Group (United States)
Chun-Ching Shih, TRW Space & Electronics Group (United States)


Published in SPIE Proceedings Vol. 3889:
Advanced High-Power Lasers
Marek Osinski; Howard T. Powell; Koichi Toyoda, Editor(s)

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