Exact Paraxial Quantization
Quantum Physics
2013-05-29 v2
Abstract
A non-perturbative quantization of a paraxial electromagnetic field is achieved via a generalized dispersion relation imposed on the longitudinal and the transverse components of the photon wave vector. The theoretical formalism yields a seamless transition between the paraxial- and the Maxwell-equation solutions. This obviates the need to introduce either "ad hoc" or perturbatively-defined field operators. In the limit of narrow beam-like fields, the theory is in agreement with approximated quantization schemes provided by other authors.
Cite
@article{arxiv.quant-ph/0502164,
title = {Exact Paraxial Quantization},
author = {A. Aiello and J. P. Woerdman},
journal= {arXiv preprint arXiv:quant-ph/0502164},
year = {2013}
}
Comments
4 pages, no figures