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An unorthodox study of bidirectional light waves

ORAL

Abstract

We consider linear superpositions of electromagnetic waves of similar frequencies, moving in opposite directions. Surprisingly, these superpositions have a lot more complexity than what has been reported in the literature. On the one hand, it is fairly intuitive that one should expect to see slowly translating standing waves. This feature may have its own applications in precise control of nanoparticles. An experiment to observe these is underway. On the other hand, a hardly studied superluminal wave is observed, which has startling parallels with quantum mechanics. An effective ``rest mass'', which is relativistically invariant, can be assigned to these bidirectional waves. This in itself is surprising, because the unidirectional electromagnetic wave components are themselves massless. Further, the superluminal wavelength is found to be exactly the same as the relativistic de Broglie wavelength. The subluminal (standing) waves on the other hand, have exactly the same wavelength as the corresponding Compton wavelength, thus having parallels with the Zitterbewegung oscillations of the Dirac equation. Finally we show that, by considering small non-linear modifications of the electromagnetic wave equation, it is possible to end up with Schrodinger-like solutions.

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Authors

  • Ankit Pandey

    Texas Tech University

  • Bill Poirier

    Texas Tech University, Texas Tech University, Department of Chemistry and Biochemistry \& Department of Physics and Astronomy

  • Luis Grave de Peralta

    Texas Tech University, Department of Physics and Astronomy, Texas Tech University

  • Eric Davis

    University of Texas at Arlington, Sultan Qaboos University, UTA HEP group, Department of Integrated Bio \& Nano Systems, University of Houston, Houston, TX 77204, USA, Department of Electrical and Computer Engineering, Nano Tech Center, Texas Tech University, University of Michigan, University of Waerloo, Canada, Texas Tech University, Dept of Mechanical Eng, TTU; Dept. of Physics and Astronomy, TTU, Dept of Cell Biology and Biochemistry, TTU Health Sci Ctr, Dept of Physics and Astronomy, TTU, Dept of Mechanical Engineering, TTU, Dept of Physics and Astronomy, TTU; Sch of Health and Sci, Purdue Univ, Dept of Mathematical and Systems Engineering, Shizuoka Univ, Department of Physics, University of Texas at Dallas, Richardson, TX 75080, Department of Physics, University of Texas at Dallas, Richardson, TX 75080., LeTourneau University, None, University of Waterloo, Canada, Texas Tech Univ, Trinity University, the University of Texas at Dallas, Texas Tech University, Lubbock, TX, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada, University of Dallas, Liverpool John Moores University, University Of Houston, Biolog Department, TCU, Home Schooled high school student, Los Alamos National Laboratory

  • Eric Davis

    University of Texas at Arlington, Sultan Qaboos University, UTA HEP group, Department of Integrated Bio \& Nano Systems, University of Houston, Houston, TX 77204, USA, Department of Electrical and Computer Engineering, Nano Tech Center, Texas Tech University, University of Michigan, University of Waerloo, Canada, Texas Tech University, Dept of Mechanical Eng, TTU; Dept. of Physics and Astronomy, TTU, Dept of Cell Biology and Biochemistry, TTU Health Sci Ctr, Dept of Physics and Astronomy, TTU, Dept of Mechanical Engineering, TTU, Dept of Physics and Astronomy, TTU; Sch of Health and Sci, Purdue Univ, Dept of Mathematical and Systems Engineering, Shizuoka Univ, Department of Physics, University of Texas at Dallas, Richardson, TX 75080, Department of Physics, University of Texas at Dallas, Richardson, TX 75080., LeTourneau University, None, University of Waterloo, Canada, Texas Tech Univ, Trinity University, the University of Texas at Dallas, Texas Tech University, Lubbock, TX, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada, University of Dallas, Liverpool John Moores University, University Of Houston, Biolog Department, TCU, Home Schooled high school student, Los Alamos National Laboratory

  • Eric Davis

    University of Texas at Arlington, Sultan Qaboos University, UTA HEP group, Department of Integrated Bio \& Nano Systems, University of Houston, Houston, TX 77204, USA, Department of Electrical and Computer Engineering, Nano Tech Center, Texas Tech University, University of Michigan, University of Waerloo, Canada, Texas Tech University, Dept of Mechanical Eng, TTU; Dept. of Physics and Astronomy, TTU, Dept of Cell Biology and Biochemistry, TTU Health Sci Ctr, Dept of Physics and Astronomy, TTU, Dept of Mechanical Engineering, TTU, Dept of Physics and Astronomy, TTU; Sch of Health and Sci, Purdue Univ, Dept of Mathematical and Systems Engineering, Shizuoka Univ, Department of Physics, University of Texas at Dallas, Richardson, TX 75080, Department of Physics, University of Texas at Dallas, Richardson, TX 75080., LeTourneau University, None, University of Waterloo, Canada, Texas Tech Univ, Trinity University, the University of Texas at Dallas, Texas Tech University, Lubbock, TX, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada, University of Dallas, Liverpool John Moores University, University Of Houston, Biolog Department, TCU, Home Schooled high school student, Los Alamos National Laboratory