Related Experiment Video
Updated: Jun 23, 2026

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
Published on: March 2, 2021
Generalized Debye series expansion of electromagnetic plane wave scattering by an infinite multilayered cylinder at
Renxian Li1, Xiang'e Han, Kuan Fang Ren
1School of Sciences, Xidian University, Xi'an 710071, China.
Abstract:
The Debye series expansion expresses the Mie scattering coefficients into a series of Fresnel coefficients and gives physical interpretation of different scattering modes, but when an infinite multilayered cylinder is obliquely illuminated by electromagnetic plane waves, the scattering process becomes very complicated because of cross polarization. Based on the relation of boundary conditions between global scattering process and local scattering processes, the generalized Debye series expansion of plane wave scattering by an infinite multilayered cylinder at oblique incidence is derived in this paper. The formula and the code are verified by the comparison of the results with that of Lorenz-Mie theory in special cases and those presented in the literatures.
Related Concept Videos
Plane Electromagnetic Waves I
The EM field is assumed to be a...
Plane Electromagnetic Waves II
Gauss's Law: Cylindrical Symmetry
Electromagnetic Wave Equation
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations: What...
Gauss's Law: Planar Symmetry
Electric Field of a Charged Disk
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...

