Jamesa, Daniel F. V. ; Agarwal, Girish S. (1996) The generalized Fresnel transform and its application to optics Optics Communications, 126 (4-6). pp. 207-212. ISSN 0030-4018
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0030-4018(95)00708-3
Abstract
We consider the mathematical properties of a class of linear transforms, which we call the generalized Fresnel transforms, and which have wide applications to several areas of optics. Well-known transforms, such as the fractional Fourier transform and the Fresnel transform, can be seen to be special cases of this general transform. By use of an analogy with a quantum harmonic oscillator, we derive mathematical expressions for functions which remain invariant under such transforms, a result which has important applications in the theory of laser resonator modes.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 90430 |
| Deposited On: | 10 May 2012 04:17 |
| Last Modified: | 10 May 2012 04:17 |
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