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Journal
2008 | 6 | 4 | 895-902
Article title

An optical system with aberrations on diffraction integrals written in terms of a generalized ABCD matrix

Content
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Languages of publication
EN
Abstracts
EN
Abstract: In this paper, we consider the transformation of a ray beam as it passes through an optical system containing a glass plate with parallel surfaces inclined to the optical axis at the Brewster’s angle, by investigating the effects of the optical system on amplitude and phase distributions. By applying generalized matrix optics and diffraction integrals and considering the influence of a quarter of a wavelength of aberration on the transmitted amplitude and phase distributions at the focus of a de-collimating lens, we find that the central peak amplitude descends from 1.0 to 0.8 and the phase distortion is less than π/2. The general feature of the amplitude distribution shows an elongation along the y-axis perpendicular to the optical axis in the direction of tilt of the inclined plate, and conforms to the inclination direction of the glass plate.
Publisher

Journal
Year
Volume
6
Issue
4
Pages
895-902
Physical description
Dates
published
1 - 12 - 2008
online
27 - 9 - 2008
Contributors
author
  • The School of Science, Hangzhou Dianzi University, Hang Zhou, 310018, China, zchy49@sohu.com
author
  • Department of Physics, Shanghai University, Shanghai, 200444, China
References
  • [1] W. Brouwer, E.L. O’Neill, A. Walther, Appl. Opt. 2, 1239 (1963)
  • [2] W. Brouwer, Matrix Methods in Optical Instrument Design (Benjamin, New York, 1964)
  • [3] H. Kogelnik, T. Li, Proc. IEEE l54, 1312 (1966) http://dx.doi.org/10.1109/PROC.1966.5119[Crossref]
  • [4] A. Maitland, M.H. Dann, Laser Physics (North-Holland Publishing Company, Netherlands, 1969)
  • [5] S.A. Collins Jr, J. Opt. Soc. Am. A 60, 1168 (1970) http://dx.doi.org/10.1364/JOSA.60.001168[Crossref]
  • [6] J.A. Arnaud, H. Kogelnik, Appl. Opt. 8, 1687 (1969)
  • [7] J.A. Arnaud, Beam and Fiber Optics (Academic Press, New York, 1976)
  • [8] C.Y. Zhao, W.H. Tan, Q.Z. Guo, J. Opt. Soc. Am. A 21, 2154 (2004) http://dx.doi.org/10.1364/JOSAA.21.002154[Crossref]
  • [9] M. Born, E. Wolf, Principles of Optics, 7th (expanded) edition, (Cambridge University Press, Cambridge, 1999)
  • [10] Y.X. Lu, B.D. Lü, Matrix Optics (Dalian University of Technology Press, Dalian,1989) in Chinese
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0120-3
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