Axiomatic Geometrical Optics, Abraham-Minkowski Controversy, and Photon Properties Derived Classically

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By restating geometrical optics within the eld-theoretical approach, the classical concept of a photon in arbitrary dispersive medium is introduced, and photon properties are calculated unambiguously. In particular, the canonical and kinetic momenta carried by a photon, as well as the two corresponding energy-momentum tensors of a wave, are derived straightforwardly from rst principles of Lagrangian mechanics. The Abraham-Minkowski controversy pertaining to the de nitions of these quantities is thereby resolved for linear waves of arbitrary nature, and corrections to the traditional formulas for the photon kinetic quantities are found. An application of axiomatic geometrical optics to electromagnetic waves is ... continued below

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Dodin, L. Y. & Fisch, N. J. June 18, 2012.

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By restating geometrical optics within the eld-theoretical approach, the classical concept of a photon in arbitrary dispersive medium is introduced, and photon properties are calculated unambiguously. In particular, the canonical and kinetic momenta carried by a photon, as well as the two corresponding energy-momentum tensors of a wave, are derived straightforwardly from rst principles of Lagrangian mechanics. The Abraham-Minkowski controversy pertaining to the de nitions of these quantities is thereby resolved for linear waves of arbitrary nature, and corrections to the traditional formulas for the photon kinetic quantities are found. An application of axiomatic geometrical optics to electromagnetic waves is also presented as an example.

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  • Physical Review Letters

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  • Report No.: PPPL-4769
  • Grant Number: DE-ACO2-09CH11466
  • DOI: 10.2172/1059262 | External Link
  • Office of Scientific & Technical Information Report Number: 1059262
  • Archival Resource Key: ark:/67531/metadc839112

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  • June 18, 2012

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  • May 19, 2016, 9:45 a.m.

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  • July 11, 2016, 4:09 p.m.

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Dodin, L. Y. & Fisch, N. J. Axiomatic Geometrical Optics, Abraham-Minkowski Controversy, and Photon Properties Derived Classically, report, June 18, 2012; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc839112/: accessed August 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.