Scattering from the weakly absorbing cylindrical capsule in the WKB approximation

Abstract

In this work, the Wentzel-Kramers-Brillouin (WKB) approximation is used to determine the form factor of a particle having a refractive index close to the outer medium. The analytical expression of the light scattering amplitude by a cylinder with conical ends and a cylinder with ellipsoidal ends in a WKB approximation are calculated for a special case, where the direction of incident light is parallel to the axis of revolution of the particle. For illustration, the numerical results are compared with those computed for the cylinder and ellipsoid.

Keywords

• WKB approximation
• Scattering
• Form factor
• Cylinder with conical ends
• Cylinder with ellipsoidal ends