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Exact Paraxial Quantization

A. Aiello·J. P. Woerdman
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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.

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A. Aiello, J. P. Woerdman. 2005-02-25. Exact Paraxial Quantization. https://doi.org/10.1103/physreva.72.060101

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