Vector analysis of fast focusing by hyperbolic and spherical lenses

Albert Y. Shih; Chun-Ching Shih

doi:10.1117/12.380869

3 April 2000 Vector analysis of fast focusing by hyperbolic and spherical lenses

Albert Y. Shih, Chun-Ching Shih

Proceedings Volume 3889, Advanced High-Power Lasers; (2000) https://doi.org/10.1117/12.380869
Event: Advanced High-Power Lasers and Applications, 1999, Osaka, Japan

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.

Citation Download Citation

Albert Y. Shih and Chun-Ching Shih "Vector analysis of fast focusing by hyperbolic and spherical lenses", Proc. SPIE 3889, Advanced High-Power Lasers, (3 April 2000); https://doi.org/10.1117/12.380869

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available