Tomaschitz, R. (2009). Refraction angles and transmission rates of polarized superluminal radiation, Physica B 404, 1383-1393, DOI: 10.1016/j.physb.2008.12.026


Abstract (ScienceDirect, SAO/NASA ADS)

The propagation of superluminal waves in dispersive media is investigated, in particular the refraction at surfaces of discontinuity in layered dielectrics. The negative mass-square of the tachyonic modes is manifested in the transmission and reflection coefficients, and the polarization of the incident waves (TE, TM, or longitudinal) can be determined from the refraction angles. The conditions for total internal reflection in terms of polarization and tachyon mass are derived. Brewster angles can be used to discriminate longitudinal from transversal incidence. Superluminal transmission through dielectric boundary layers is studied, and the dependence of the intensity maxima on the transversal and longitudinal refractive indices of the layer is analyzed. Estimates of the tachyonic plasma frequency and permittivity of metals are given. The integral version of the tachyonic Maxwell equations is stated, boundary conditions at the surfaces of discontinuity are derived for transversal and longitudinal wave propagation, and singular surface fields and currents are pointed out. The spectral maps of three TeV γ-ray sources associated with supernova remnants, which have recently been obtained with imaging atmospheric Cherenkov detectors, are fitted with tachyonic cascade spectra. The transversal and longitudinal polarization components are disentangled in the spectral maps, and the thermodynamic parameters of the shock-heated ultra-relativistic electron plasma generating the tachyon flux are extracted from the cascade fits.


Keywords: Superluminal wave propagation; Tachyonic Maxwell equations; Boundary conditions for radiation modes with negative mass-square; Transversal and longitudinal refraction; Polarization of tachyonic γ-rays; Tachyonic plasma frequency; Nonthermal cascade spectra

PACS classification codes: 42.25.Bs; 42.25.Gy; 52.25.Mq; 95.30.Gv


Article Outline

1. Introduction

2. Tachyonic Maxwell equations and integral field equations in a permeable medium

3. Superluminal wave fields at the surface of discontinuity of dielectrics and conductors

3.1. Boundary conditions for transversal tachyons

3.2. Longitudinal modes generating singular magnetic field strengths at the interface

3.3. Singular boundary currents and charge densities

4. Tachyon refraction at plane interfaces of dispersive media

4.1. Refraction of superluminal TE and TM waves

4.2. Manifestations of the negative mass-square: longitudinal refraction, Brewster angles, and total internal reflection

4.3. Normal incidence: reflection and transmission of tachyons at a boundary layer

4.3.1. Transversally polarized superluminal modes

4.3.2. Longitudinal reflection and transmission coefficients

5. Polarization components of tachyonic cascades radiated by a shock-heated electron plasma

6. Conclusion








Refraction angles and transmission rates of polarized superluminal radiation



Tomaschitz, Roman



AA(Department of Physics, Hiroshima University, 1-3-1 Kagami-yama, Higashi-Hiroshima 739-8526, Japan. Tel.: +81 824 247361; fax: +81 824 240717.)



Physica B: Physics of Condensed Matter, Volume 404, Issue 8-11, p. 1383-1393.

Publication Date:






PACS Keywords:


Wave propagation, transmission and absorption, Edge and boundary effects; reflection and refraction, Dielectric properties, Radiation mechanisms; polarization




Bibliographic Code:





description: Roman Tomaschitz (2009) Refraction angles and transmission rates of polarized superluminal radiation, Physica B 404, 1383.


Keywords: superluminal wave propagation in dispersive media, tachyonic Maxwell equations and integral field equations, boundary conditions for radiation modes with negative mass-square, dispersion relations for transversal and longitudinal tachyons, refraction of tachyons at surfaces of discontinuity, effect of polarization on refraction angles, polarization of tachyonic γ-ray cascades, shock-heated ultra-relativistic electron plasmas of supernova remnants, HESS J1837−069, HESS J1834−087, HESS J1813−178, tachyonic plasma frequency, tachyonic transmission and reflection coefficients, tachyonic TeV gamma-rays


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