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Optics Letters

Optics Letters


  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 16 — Aug. 15, 2006
  • pp: 2414–2416

Synthesis of an arbitrary A B C D system with fixed lens positions

Martin J. Bastiaans and Tatiana Alieva  »View Author Affiliations

Optics Letters, Vol. 31, Issue 16, pp. 2414-2416 (2006)

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On the basis of the modified Iwasawa decomposition of a lossless first-order optical system as a cascade of a lens, a magnifier, and a so-called orthosymplectic system, we show how to synthesize an arbitrary A B C D system (with two transverse coordinates) by means of lenses and predetermined sections of free space such that the lenses are located at fixed positions.

© 2006 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.4690) Fourier optics and signal processing : Morphological transformations
(080.2730) Geometric optics : Matrix methods in paraxial optics
(120.4820) Instrumentation, measurement, and metrology : Optical systems

Original Manuscript: April 4, 2006
Revised Manuscript: June 8, 2006
Manuscript Accepted: June 8, 2006
Published: July 25, 2006

Martin J. Bastiaans and Tatiana Alieva, "Synthesis of an arbitrary ABCD system with fixed lens positions," Opt. Lett. 31, 2414-2416 (2006)

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