5
Nonlinear Optics Tobias J. Kippenberg [email protected] T.W. Hänsch Division Lecture 3 T. Kippenberg (2006)

Nonlinear Optics

Embed Size (px)

DESCRIPTION

T. Kippenberg (2006). Nonlinear Optics. Tobias J. Kippenberg [email protected] T.W. H ä nsch Division. Lecture 3. T. Kippenberg (2006). Lecture 3: Review. 2. 2. RHS: Source term. Simplest relationship between E and P is a linear one:. Assuming a plane wave we arrive at the new k-vector. - PowerPoint PPT Presentation

Citation preview

Page 1: Nonlinear Optics

Nonlinear Optics

Tobias J. Kippenberg

[email protected]

T.W. Hänsch Division

Lecture 3

T. Kippenberg (2006)

Page 2: Nonlinear Optics

Lecture 3: Review

Lecture 3

T. Kippenberg (2006)

Simplest relationship between E and P is a linear one:

Assuming a plane wave we arrive at the new k-vector

RHS: Source term.

2 2

Page 3: Nonlinear Optics

Lecture 3: Review of the refractive index and absorption

Lecture 3

T. Kippenberg (2006)

Refractive index

Absorption or gain coefficient.

Page 4: Nonlinear Optics

Lecture 3: Review of the Polarization for a two level system

Lecture 3

T. Kippenberg (2006)

The polarization is the Dipole moment per unit volume, where the total dipole moment is:

The time dependence of the dipole operator is determined by the Coherences:

Page 5: Nonlinear Optics

Lecture 4: Preview

Lecture 3

T. Kippenberg (2006)

Combine Quantum Mechanics and Classical Electrodynamics

Electrodynamics

Quantum Mechanics

Goal: Find the relation between E and P

2 2

Polarization acts as a source term.