Department of Physics, Engineering Physics & Astronomy

Department of Physics, Engineering Physics & Astronomy
Department of Physics, Engineering Physics & Astronomy

CMP Seminar - Why you should not use the electric field to quantize in nonlinear optics

John E. Sipe
Professor, Department of Physics
University of Toronto

Date: Tuesday November, 14th, 2017
Time: 10:30 a.m. 
Location: Stirling 501

Abstract:

We show that using the electric field as a quantization variable in nonlinear optics leads to incorrect expressions for the parameters characterizing spontaneous parametric down-conversion, spontaneous four-wave mixing, frequency conversion, and self-phase modulation.  This observation is related to the fact that if the electric and magnetic fields are written as a linear combination of boson creation and annihilation operators one cannot satisfy Maxwell’s equations in a nonlinear dielectric.