Optical Path Length and Its Jacobian Matrix with Respect to System Variable Vector

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


Optical path length (OPL) is important because it determines the phase of the light and governs interference and diffraction of ray as it propagates. This chapter presents a mathematical approach for determining the Jacobian matrix of wavefront aberration with respect to system variables by using OPL. Wavefront aberration is one of the important optical quantities.


Jacobian Matrix Boundary Surface Optical Path Length Merit Function Wavefront Aberration 
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    J. Meiron, The use of merit functions on wave-front aberrations in automatic lens design. Appl. Opt. 7, 667–672 (1968)ADSCrossRefGoogle 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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