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Volume 26 Issue 6
Sep.  2013
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Citation:
shu

Matrix decomposition and equivalent transformation of misaligned optical systems

  • 1.

    Department of Physics, Sichuan Normal University, Chengdu, 610066;

  • 2.

    Institute of Laser Physics and Chemistry, Sichuan University, Chengdu, 610064

  • Received Date: 2001-12-14
    Accepted Date: 2002-01-31
  • Within the framework of the paraxial approximation the matrix decomposition and equivalent transformation of misaligned optical systems are studied in detail based on matrix method in optics.It has been shown that any 3×3 ABCDEF augmented matrix,which describes a misalighed optical system,can be represented by an ordered product of basic matrices of ^α,^β and ^δ types.
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    Casperson L W. Appl Opt,1981,20(13):2243～2249.
    [2]

    Gerrad A,Burch J M. Introduction to matrix methods in optics. New York:John Willey and Sons,1975.
    [3]

    Tovor A A,Casperson L W. J O S A,1995,A12(7):1522～1533.
    [4]

    Tovor A A,Casperson L W. J O S A,1996,A13(1):90～96.
    [5]

    Tovor A A,Casperson L W. J O S A,1996,A13(11):2239～2246.
    [6]

    Tovor A A,Casperson L W. J O S A,1997,A14(4):882～893.
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Matrix decomposition and equivalent transformation of misaligned optical systems

  • 1. Department of Physics, Sichuan Normal University, Chengdu, 610066;
  • 2. Institute of Laser Physics and Chemistry, Sichuan University, Chengdu, 610064
  • Received Date: 2001-12-14
  • Accepted Date: 2002-01-31
  • Available Online: 2002-11-25

Abstract: Within the framework of the paraxial approximation the matrix decomposition and equivalent transformation of misaligned optical systems are studied in detail based on matrix method in optics.It has been shown that any 3×3 ABCDEF augmented matrix,which describes a misalighed optical system,can be represented by an ordered product of basic matrices of ^α,^β and ^δ types.

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