2011/01/12 by Radosław Szmytkowski
Engineering · Mathematics · Physics and Astronomy · #Electromagnetic Scattering and Analysis #Nonlinear Waves and Solitons #Thermoelastic and Magnetoelastic Phenomena #math-ph #math.AP #math.MP #msc:35J08 #msc:78A10 #physics.optics
paper · pdf · doi:10.1088/1751-8113/44/6/065203
published as J. Phys. A 44 (2011) 065203 · LaTeX, 14 pages
openalex publication_date 2011/01/12 · arxiv created 2011/07/07 · arxiv updated 2011/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Unique transformation properties under the hyperspherical inversion of a partial differential equation describing a stationary scalar wave in an N -dimensional ( N ⩾ 2) Maxwell fish-eye medium are exploited to construct a closed form of Green's function for that equation. For those wave numbers for which Green's function fails to exist, the generalized Green's function is derived. Prospective physical applications are mentioned.