**An Introduction to the Quantum Theory of Nonlinear Optics**

by Mark Hillery

**Publisher**: arXiv 2009**Number of pages**: 80

**Description**:

This article is provides an introduction to the quantum theory of optics in nonlinear dielectric media. We begin with a short summary of the classical theory of nonlinear optics, that is nonlinear optics done with classical fields. We then discuss the canonical formalism for fields and its quantization. This is applied to quantizing the electromagnetic field in free space. The definition of a nonclassical state of the electromagnetic field is presented, and several examples are examined.

Download or read it online for free here:

**Download link**

(770KB, PDF)

## Similar books

**Nonlinear Wave Equations**

by

**Heinz-Jürgen Schmidt**-

**University of Osnabrück**

What are the physical origins of nonlinearity? We will have to give different answers depending on the case under consideration. This text aims at providing a general physical background rather than dealing with the details of the various projects.

(

**6999**views)

**Lecture Notes on Nonlinear Optics**

by

**Fredrik Jonsson**

Nonlinear optics is the discipline in which the electric polarization density of the medium is studied as a nonlinear function of the electromagnetic field of the light. This text is an introduction to the phenomena encountered in nonlinear optics.

(

**4710**views)

**Non-Linear Optics**

by

**Wim Ubachs**-

**Vrije Universiteit Amsterdam**

Contents: Non-linear optics: Introduction; Second harmonic generation; The optical parametric oscillator; Quantum theory of the nonlinear susceptibility; Coherent Raman Scattering in Gases; The production of vacuum ultraviolet radiation by FWM.

(

**8737**views)

**Nonlinear Optics**

by

**M. Wohlecke, K. Betzler, M. Imlau**-

**University of Osnabruck**

These lecture notes cover some basic topics in nonlinear optics, they accompany lectures held for the Ph. D. students. The first part gives a short introduction to the physics of crystals and the treatment of symmetry-dependent properties.

(

**5788**views)