SPFBU30

UE Nonlinear optics

Unité d'enseignement (UE) de 2 crédits

^En UE enseignée en Anglais

DESCRIPTION
ORGANISATION
FORMATIONS

Contenu

1 Introduction
1.1 Explaining the name
1.2 The origin of the nonlinearity in P(E)
1.3 The polarization density and the susceptibility tensors
1.4 List and classification of NLO effects
1.5 The symmetries of higher order susceptibilities
1.6 Simplified photon picture

2 Linear but anisotropic optics
2.1 Propagation in an anisotropic medium
2.2 The “types” of phase matching;

3 The nonlinear wave equation
3.1 The exact version
3.2 The approximated version for three wave interaction
3.3 Energy conservation and Manley-Rowe rel.

4 Practical aspects of three wave interaction
4.1 SHG
4.2 Phase matched OPA with non-depleted pump
4.3 Influence of the crystal anisotropy: effective nonlinearity

5 Third order nonlinear optical response
5.1 Optical Kerr effect
5.2 Nonlinear optical parameters, ...

Compétences à acquérir

At the end of this module, the student will be able to:

Understand the formalism of the classical description of nonlinear optics
Develop an understanding of the classical NLO wave equation for superpositions of monochromatic waves
Find directions of phase matching in a nonlinear optical crystal
Understand how the crystal symmetries influence the Chi tensor and the effective nonlinearity
Establish the system of differential equations describing a chi2 effect.
Be able to derive the set of differential equations for a given situation and solve it using approximations or numerical tools
Understand the physics of frequently encountered nonlinear optical phenomena
Know some basic applications of NLO

Langue(s) d'enseignement

Anglais

Bibliographie

P. N. Butcher and D. Cotter "The Elements of Nonlinear Optics", Cambridge University Press (1991, or better1998)

Robert W. Boyd, “Nonlinear Optics” 3rd edition (Academic Press)

Prérequis obligatoires

A solid mathematical background is needed: complex numbers, complex vector analysis, differential equations, Fourier transforms.

Prérequis recommandés

Scientific programming skills are helpful to evaluate the phase mismatch, solve the sets of differential equations, …

Modalités d'organisation

This course is a classical lecture. Excercises are given during the lecture.

Volume des enseignements

Cours magistraux: 20 heures
Volume total: 20 heures

Responsables pédagogiques:

WAGNER Frank
ILIOPOULOS Konstantinos

Codes APOGÉE

SPFBU30J [ELP]