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Global existence, smoothness, and nonfocussing of optical paths in a refractive medium

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Part of the Lecture Notes in Mathematics book series (LNM,volume 522)

Keywords

  • Convex Body
  • Optical Path
  • Eikonal Equation
  • Connected Subset
  • Orthogonal Surface

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References for Chapter 2

  1. C. O. Bloom and N. D. Kazarinoff, Local energy decay for a class of nonstar-shaped bodies, Archive for Rat. Mech. and Anal., 55 (1974), 73–85.

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  2. E. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, N. Y., 1955.

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  3. D. S. Jones, High-frequency refraction and diffraction in general media, Philos. Trans. Roy. Soc. London Ser. A 255 (1962/63), 341–387.

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  4. M. Klein and I. W. Kay, Electromagnetic Theory and Geometrical Optics, Wiley (Interscience), N. Y., 1965.

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  5. R. K. Luneberg, Mathematical Theory of Optics, U. of Calif. Press, Berkeley, 1964.

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© 1976 Springer-Verlag

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Bloom, C.O., Kazarinoff, N.D. (1976). Global existence, smoothness, and nonfocussing of optical paths in a refractive medium. In: Short Wave Radiation Problems in Inhomogeneous Media: Asymptotic Solutions. Lecture Notes in Mathematics, vol 522. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079580

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  • DOI: https://doi.org/10.1007/BFb0079580

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07698-8

  • Online ISBN: 978-3-540-38229-4

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