Soviet Physics Journal

, Volume 31, Issue 6, pp 517–519 | Cite as

Mathematical apparatus of expanded 3 × 3 matrices to describe noncentered optical systems

  • V. M. Volkov
Optics and Spectroscopy


A simple mathematical apparatus is proposed to describe noncentered optical systems. The apparatus can be used to describe optical systems with isotropic elements or anisotropic elements with coincident principal directions. The approach proposed permits substantial expansion of the circle of problems that can be solved effectively within the framework of the geometric optics representations.


Optical System Principal Direction Geometric Optic Isotropic Element Mathematical Apparatus 
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Literature cited

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    E. O'Neil, Introduction to Statistical Optics [Russian translation], Mir, Moscow (1966).Google Scholar
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    Yu. A. Kravtsov and Yu. I. Orlov, Geometric Optics of Inhomogeneous Media [in Russian], Nauka, Moscow (1980).Google Scholar
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    O. N. Litvinenko, Principles of Radio Optics [in Russian], Tekhnika, Kiev (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • V. M. Volkov
    • 1
  1. 1.T. G. Shevchenko Kiev State UniversityUSSR

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