Nonlinear Optics
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Transcript of Nonlinear Optics
Nonlinear Optics
Tobias J. Kippenberg
T.W. Hänsch Division
Lecture 3
T. Kippenberg (2006)
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
Lecture 3: Review of the refractive index and absorption
Lecture 3
T. Kippenberg (2006)
Refractive index
Absorption or gain coefficient.
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:
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.