Refraction on Multilayers

  • Michel Mendès France
  • Ahmed Sebbar
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


Given an unknown number N of transparent plates stacked one onto the other of unknown thicknesses a k and unknown indices of refraction n k , it is possible to discover N, a k , n k by observing how incident beams of monochromatic light behave on the opposite side, at least if the measurements are very precise. But what if they are not?


Incident Beam Geometrical Optic Front Face Monochromatic Light Unknown Number 
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  1. 1.
    M. Mendès France, A. Sebbar, Reflections on refraction (geometrical optics), Ann. Henri Poincaré 9 (2008), 625–638.MATHCrossRefGoogle Scholar
  2. 2.
    O. Perron, Algebra I, Die Grundlagen, Walter de Gruyter, Berlin, (1951).MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Institut de mathématiques de Bordeaux, UMR 5251Université Bordeaux ITalence CedexFrance

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