Field theory of monochromatic optical beams. II Classical and quantum paraxial fields

TL;DR

This paper develops a field-theoretic framework for classical and quantum scalar paraxial optical fields, deriving conservation laws and quantization methods, and compares these results with traditional approaches.

Contribution

It introduces a novel field-theoretic approach to paraxial optical fields, including quantization and conservation laws, advancing the theoretical understanding of classical and quantum optics.

Findings

Derived conservation laws for energy, momentum, and angular momentum in paraxial fields.

Quantized the scalar paraxial field within a field-theoretic framework.

Compared new results with traditional optical field theories.

Abstract

This work is the second part of an investigation aiming at the study of optical wave equations from a field-theoretic point of view. Here, we study classical and quantum aspects of scalar fields satisfying the paraxial wave equation. First, we determine conservation laws for energy, linear and angular momentum of paraxial fields in a classical context. Then, we proceed with the quantization of the field. Finally, we compare our result with the traditional ones.