Shear representations of beam transfer matrices

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2001-05-01

Author

Baskal, S
Kim, YS

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The beam transfer matrix, often called the ABCD matrix, is one of the essential mathematical instruments in optics. It is a unimodular matrix whose determinant is 1. If all the elements are real with three independent parameters, this matrix is a 2 X 2 representation of the group Sp(2). It is shown that a real ABCD matrix Can be generated by two shear transformations. It is then noted that, in para-axial lens optics, the lens and translation matrices constitute two shear transformations. It is shown that a system with an arbitrary number of lenses can be reduced to a system consisting of three lenses.

Subject Keywords

1st-order optics, Gaussian beams, Propagation, Formalism, Coherent, Light

URI

https://hdl.handle.net/11511/64374

Journal

PHYSICAL REVIEW E

DOI

https://doi.org/10.1103/physreve.63.056606

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Department of Physics, Article

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Citation Formats

S. Baskal and Y. Kim, “Shear representations of beam transfer matrices,” PHYSICAL REVIEW E, pp. 0–0, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64374.