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Paraxial Optics for Axis-Symmetrical Systems

  • Psang Dain LinEmail author
Chapter
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Part of the Springer Series in Optical Sciences book series (SSOS, volume 178)

Abstract

Conventional paraxial optics, which is sometimes known as Gaussian optics or first-order optics, uses the \( 2 \times 2 \) matrices as first estimates of meridional rays in early design stages of 2-D axis-symmetrical optical systems [1, 2]. In order to extend conventional paraxial optics for 3-D systems containing prisms, we have presented the \( 6 \times 6 \) matrices obtained from the first-order Taylor series expansion to approximate skew-ray tracing equations [3]. We shall begin this chapter by modifying the \( 6 \times 6 \) matrices of [3] to be applicable only to axis symmetrical systems. The obtained matrices are used to determine the cardinal points for an optical system. The imaging equations for multi-surface system are derived next.

Keywords

Optical Axis Focal Length Principal Plane Thin Lens Aspherical Surface 
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References

  1. 1.
    A. Gerrard, J.M. Burch, Introduction to Matrix Methods in Optics (Wiley, New York, 1975)Google Scholar
  2. 2.
    A.E. Attard, Matrix optical analysis of skew rays in mixed systems of spherical and orthogonal cylindrical lenses. Appl. Opt. 23, 2706–2709 (1984)ADSCrossRefGoogle Scholar
  3. 3.
    P.D. Lin, C.K. Sung, Matrix-based paraxial skew ray-tracing in 3D systems with non-coplanar optical axis. OPTIK—Int. J. Light Electron Opt. 117, 329–340 (2006)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Singapore 2014

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Cheng Kung UniversityTainanTaiwan R.O.C

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