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A Schrödinger type explanation of Fresnel formulas

R. E. NISTOR1,* , I.-IOVITZ POPESCU2, N. IONESCU-PALLAS2

Affiliation

  1. Physics Department, Politehnica University, Bucharest, Romania
  2. National Institute for Lasers, Plasmas and Radiation Physics, PO Box MG7, 76900, Magurele, Romania

Abstract

The electromagnetic phenomena of reflection and refraction at a dielectric surface will be treated by an alternative Schrödinger type quantum mechanical method. Thus, a new and simple deduction of Fresnel’s formulas is given, without any appeal to Maxwell’s equations, by using the concept of photon potential (7) associated to the refractive index of the medium. A Helmholtz-type equation (8) for a Plücker-Kayley hexavector → → → Q = E+ iΛ H , where Λ = μ /ε is the medium constant, describes completely the photon propagation through media and opens the way of much simplification in the computation of the photon passage through optoelectronic devices, as it will be shown in the present paper for the simple case of Fresnel relations and in a companion paper for the optical coupling [10]..

Keywords

Reflection and transmission coefficients, Fresnel formulas.

Submitted at: March 10, 2007
Accepted at: Aug. 18, 2007

Citation

R. E. NISTOR, I.-IOVITZ POPESCU, N. IONESCU-PALLAS, A Schrödinger type explanation of Fresnel formulas, Journal of Optoelectronics and Advanced Materials Vol. 9, Iss. 8, pp. 2408-2412 (2007)