INVARIANT IMBEDDING, WAVE PROPAGATION, AND THE WKB APPROXIMATION

Invariant Imbedding, Wave Propagation, and the Wkb Approximation.

Generalized Invariant Imbedding Relation.

Light scattering by cubical particle in the WKB approximation

In this work, we determined the analytical expressions of the form factor of a cubical particle in the WKB approximation. We adapted some variables (size parameter, refractive index, the scattering angle) and found the form factor in the approximation of Rayleigh-Gans-Debye (RGD), Anomalous Diffraction (AD), and determined the efficiency factor of the extinction. Finally, to illustrate our form...

Dissipation Functions and Invariant Imbedding, I.

Propagation-invariant wave fields with finite energy.

Propagation invariance is extended in the paraxial regime, leading to a generalized self-imaging effect. These wave fields are characterized by a finite number of transverse self-images that appear, in general, at different orientations and scales. They possess finite energy and thus can be accurately generated. Necessary and sufficient conditions are derived, and they are appropriately represe...