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Title: Einstein's Photon Concept Quantified by the Bohr Model of the Photon

Abstract

The photon is modeled as a monochromatic solution of Maxwell's equations confined as a soliton wave by the principle of causality of special relativity. The soliton travels rectilinearly at the speed of light. The solution can represent any of the known polarization (spin) states of the photon. For circularly polarized states the soliton's envelope is a circular ellipsoid whose length is the observed wavelength ({lambda}), and whose diameter is {lambda}/{pi}; this envelope contains the electromagnetic energy of the wave (hv = hc/{lambda}). The predicted size and shape is confirmed by experimental measurements: of the sub-picosecond time delay of the photo-electric effect, of the attenuation of undiffracted transmission through slits narrower than the soliton's diameter of {lambda}/{pi}, and by the threshold intensity required for the onset of multiphoton absorption in focussed laser beams. Inside the envelope the wave's amplitude increases linearly with the radial distance from the axis of propagation, being zero on the axis. Outside the envelope the wave is evanescent with an amplitude that decreases inversely with the radial distance from the axis. The evanescent wave is responsible for the observed double-slit interference phenomenon.

Authors:
 [1];  [2];  [3]
  1. York University, Toronto, Ontario, M3J 1P3 (Canada)
  2. Physics Department, York University (Canada)
  3. Optech Inc., 100 Wildcat Rd, Toronto (Canada)
Publication Date:
OSTI Identifier:
20787707
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 810; Journal Issue: 1; Conference: Vaxjo conference on quantum theory: Reconsideration of foundations - 3, Vaxjo (Sweden), 6-11 Jun 2005; Other Information: DOI: 10.1063/1.2158738; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ABSORPTION; AMPLITUDES; ATTENUATION; CAUSALITY; INTERFERENCE; LASER RADIATION; LIGHT TRANSMISSION; MATHEMATICAL SOLUTIONS; MAXWELL EQUATIONS; MONOCHROMATIC RADIATION; MULTI-PHOTON PROCESSES; PHOTON BEAMS; PHOTONS; POLARIZATION; RELATIVITY THEORY; SOLITONS; SPIN; TIME DELAY; WAVELENGTHS

Citation Formats

Hunter, Geoffrey, Alexandrescu, Camil, and Kowalski, Marian. Einstein's Photon Concept Quantified by the Bohr Model of the Photon. United States: N. p., 2006. Web. doi:10.1063/1.2158738.
Hunter, Geoffrey, Alexandrescu, Camil, & Kowalski, Marian. Einstein's Photon Concept Quantified by the Bohr Model of the Photon. United States. doi:10.1063/1.2158738.
Hunter, Geoffrey, Alexandrescu, Camil, and Kowalski, Marian. Wed . "Einstein's Photon Concept Quantified by the Bohr Model of the Photon". United States. doi:10.1063/1.2158738.
@article{osti_20787707,
title = {Einstein's Photon Concept Quantified by the Bohr Model of the Photon},
author = {Hunter, Geoffrey and Alexandrescu, Camil and Kowalski, Marian},
abstractNote = {The photon is modeled as a monochromatic solution of Maxwell's equations confined as a soliton wave by the principle of causality of special relativity. The soliton travels rectilinearly at the speed of light. The solution can represent any of the known polarization (spin) states of the photon. For circularly polarized states the soliton's envelope is a circular ellipsoid whose length is the observed wavelength ({lambda}), and whose diameter is {lambda}/{pi}; this envelope contains the electromagnetic energy of the wave (hv = hc/{lambda}). The predicted size and shape is confirmed by experimental measurements: of the sub-picosecond time delay of the photo-electric effect, of the attenuation of undiffracted transmission through slits narrower than the soliton's diameter of {lambda}/{pi}, and by the threshold intensity required for the onset of multiphoton absorption in focussed laser beams. Inside the envelope the wave's amplitude increases linearly with the radial distance from the axis of propagation, being zero on the axis. Outside the envelope the wave is evanescent with an amplitude that decreases inversely with the radial distance from the axis. The evanescent wave is responsible for the observed double-slit interference phenomenon.},
doi = {10.1063/1.2158738},
journal = {AIP Conference Proceedings},
number = 1,
volume = 810,
place = {United States},
year = {Wed Jan 04 00:00:00 EST 2006},
month = {Wed Jan 04 00:00:00 EST 2006}
}