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Realization of first order optical systems using thin lensest

Mukunda, N and Simon, R (1985) Realization of first order optical systems using thin lensest. In: Journal of Modern Physics, 32 (8). 855 -872.

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A first order optical system is investigated in full generality within the context of wave optics. The problem is reduced to a study of the ray transfer matrices. The simplest such systems correspond to axially symmetric propagation. Realization of such systems by centrally located lenses separated by finite distances is studied. It is shown that, contrary to the commonly held view, the set of first order systems that can be realized using axially symmetric thin lenses exhausts the entire SL(2, R) group; at most three lenses are needed to realize any element of this group. In particular, the inverse of free propagation can be so realized. Among anisotropic systems it is again shown that every element of the lens group Sp(4, R) can be realized using a finite number of thin lenses.

Item Type: Journal Article
Publication: Journal of Modern Physics
Publisher: Taylor and Francis Ltd
Additional Information: Copyright of this article belongs to Taylor and Francis Ltd.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 02 Feb 2010 09:54
Last Modified: 19 Sep 2010 05:44
URI: http://eprints.iisc.ac.in/id/eprint/23002

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