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Applied Optics

Applied Optics


  • Vol. 42, Iss. 7 — Mar. 1, 2003
  • pp: 1191–1202

Analysis of optical elements with flat boundary surfaces

Te-Tan Liao and Psang Dain Lin  »View Author Affiliations

Applied Optics, Vol. 42, Issue 7, pp. 1191-1202 (2003)

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Optical systems are currently evaluated by use of ray-tracing techniques to extract performance quantities such as aberration and spot size. To improve on the use of optical equations, we formulate various important optical functions using a 4 × 4 homogeneous transformation matrix to design and analyze skew rays that cross flat optical boundary surfaces. We address three important topics: (1) the direction of a reflected or refracted ray is determined according to Snell’s law, (2) sensitivity analysis expresses differential changes of reflected or refracted rays in terms of differential changes of incident rays, and (3) aberration of polychromatic light is presented analytically. A solid-glass corner cube and a Pechan prism are used to demonstrate the validity of the developed methodology.

© 2003 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.1010) Geometric optics : Aberrations (global)
(080.2720) Geometric optics : Mathematical methods (general)
(080.2730) Geometric optics : Matrix methods in paraxial optics

Original Manuscript: May 17, 2002
Revised Manuscript: September 17, 2002
Published: March 1, 2003

Te-Tan Liao and Psang Dain Lin, "Analysis of optical elements with flat boundary surfaces," Appl. Opt. 42, 1191-1202 (2003)

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