The Wavefront Shape, Irradiance, and Caustic Surface in an Optical System

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


The wavefront shape, illuminance, and caustic surface at any point along the ray path can be computed either by k-function method [1, 2] or by the differential geometry-based method [3]. The former approach was further extended by Shealy and his colleagues [4–8] for systems with multiple optical elements illuminated by a plane wavefront propagating parallel to the optical axis. However, how to generate the k-function for non-axially symmetrical systems with reflecting surfaces for a skew source ray is still highly challenging. This chapter will show that the differential geometry-based approach based on the first and second fundamental forms of the wavefront is a more general approach for discussing the shape of wavefront.


Fundamental Form Hessian Matrix Principal Curvature Wavefront Aberration Hessian Matrice 
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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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