Free Maxwell equations in vacuum in orthogonal curvilinear coordinates and some applications: Helmholtz equation, poynting vector, and energy density

• Published in: European physical journal plus Vol. 139; no. 9; p. 792
• Main Authors: Pérez-Carlos, David A., Gutiérrez-Rodríguez, A., Puga-Candelas, Alejandro
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 06.09.2024; Springer Nature B.V
• Subjects: Applied and Technical Physics; Atomic; Charged particles; Complex Systems; Condensed Matter Physics; Electrons; Fields (mathematics); Helmholtz equations; Magnetic fields; Mathematical and Computational Physics; Maxwell's equations; Molecular; Optical and Plasma Physics; Parity; Physics; Physics and Astronomy; Prolate spheroids; Regular Article; Spherical coordinates; Theoretical; Time dependence; Variables

In this paper, we present a generalized method of solving the Free Maxwell Equations in Vacuum employing the process of separation of variables, which can be used for different systems of orthogonal curvilinear coordinates. This method leads us to obtain the Helmholtz equation for the distinct syste...