Electromagnetic plane wave scattering by a radially uniaxial dielectric sphere: Debye series solution

High-Frequency Scattering From Radially Uniaxial Dielectric Sphere

“…The detailed expression of the generalized Debye series of a radially uniaxial dielectric sphere is studied in [11] and [12]. The electric and magnetic fields of spherical waves are derived from scalar potentials that satisfy the following scalar wave equations [3]- [11]:…”

“…The electric and magnetic fields of spherical waves are derived from scalar potentials that satisfy the following scalar wave equations [3]- [11]:…”

“…where , -and , -are (14) and (15) in [11]. The same procedure is applied for the outgoing wave in the sphere by assuming the incident outgoing TE/TM wave of unit amplitude encounters the interface at r=a in Fig.…”

“…Where , -and , -are (16) and (17) in [11].To validate the solution, the quantity * + is computed and after some tedious but straightforward algebra, we found …”