Lecture 5.

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Presentation transcript:

Lecture 5

Parabolic (paraxial) approximation Small Perturbations; Local Perturbations; Smooth Perturbations; Geometrical optics; Path Integral Feynman diagrams Fokker-Plank Equation Random Matrix Theory Supersymmetry Parabolic (paraxial) approximation

propagator

resonant Bragg scattering

V energy flux density Differential SCS

Total SCS

Limits of validity of the single scattering (small perturbation) approximation (Energy of the scattered field) (Energy of the incident field) weak scattering

energy conservation Extinction Length

small perturbations smooth perturbations is not necessarily small

Geometrical Optics

odd even Gaussian

Dyson Equation

WAVEGUIDE

estimate the diagrams for the white-noise random process write analytical expressions for the diagrams estimate the diagrams for the white-noise random process

Ladder diagrams

WAVEGUIDE

backscattered enhancement weak localization interference < > RTE