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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 40, Iss. 1 — Jan. 1, 1950
  • pp: 48–51

Determination of Reflected and Transmitted Fields by Geometrical Optics

JOSEPH B. KELLER and HERBERT B. KELLER  »View Author Affiliations


JOSA, Vol. 40, Issue 1, pp. 48-51 (1950)
http://dx.doi.org/10.1364/JOSA.40.000048


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Abstract

By an extension of ordinary geometrical optics (or acoustics) the intensity of the reflected and transmitted fields due to a point source in the presence of an arbitrary interface between two media is found. Particular consequences of the solution are the general lens and mirror law and the equations for the caustic surfaces.

Citation
JOSEPH B. KELLER and HERBERT B. KELLER, "Determination of Reflected and Transmitted Fields by Geometrical Optics," J. Opt. Soc. Am. 40, 48-51 (1950)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-40-1-48


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References

  1. J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), Chapter IX.
  2. Lord Rayleigh, The Theory of Sound (MacMillan Company, Ltd., London, 1937) Vol. II, Chapters IV and V.
  3. H. Primakoff and J. B. Keller, J. Acous. Soc. Am. 19, 820 1947).
  4. J. B. Keller, Reflection and Transmission of Electromagnetic Waves by Thin Curved Shells, New York University, Washington Square College Mathematics Research Group, Report No. 172–5.
  5. R. K. Luneberg, "Mathematical theory of optics," Brown University Graduate School (Providence, 1944), notes.
  6. J. B. Keller (Lecture notes, New York University).
  7. C. B. Barker and H. Riblet, Reflections from Curved Surfaces M. I. T. Radiation Laboratory, Report No. 976.
  8. J. B. Keller, Reflection of Electromagnetic Waves, New York University, Washington Square College Mathematics Research Group, Report No. 176–1.
  9. L. P. Eisenhart, Differential Geometry (Princeton University Press, Princeton, 1940), Chapter IV.
  10. van der Pol, and Bremmer, Phil. Mag. [7] 24, 825 (1937), Eqs. 91–93.

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