dor_id: 4128567

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650.#.4.x: Físico Matemáticas y Ciencias de la Tierra

336.#.#.b: article

336.#.#.3: Artículo de Investigación

336.#.#.a: Artículo

351.#.#.6: https://rmf.smf.mx/ojs/rmf/index

351.#.#.b: Revista Mexicana de Física

351.#.#.a: Artículos

270.1.#.p: Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

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856.4.0.u: https://rmf.smf.mx/ojs/index.php/rmf/article/view/5531/5680

100.1.#.a: Ley Koo, E.; Torres Bustamante, H.; Góngora T., A.

524.#.#.a: Ley Koo, E., et al. (2021). Spherical symmetry breaking in electric, magnetic and toroidal multipole moment radiations in spherical toroidal resonant cavities and optimum-efficiency antennas. Revista Mexicana de Física; Vol. 67 No. 2, 2021; 174-179. Recuperado de https://repositorio.unam.mx/contenidos/4128567

245.1.0.a: Spherical symmetry breaking in electric, magnetic and toroidal multipole moment radiations in spherical toroidal resonant cavities and optimum-efficiency antennas

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Facultad de Ciencias, UNAM

264.#.0.c: 2021

264.#.1.c: 2021-07-15

653.#.#.a: Electromagnetic multipole moment expansion

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC-ND 4.0 Internacional, https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es, fecha de asignación de la licencia 2021-07-15, para un uso diferente consultar al responsable jurídico del repositorio por medio del correo electrónico rmf@ciencias.unam.mx

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001.#.#.#: rmf.oai:ojs2.rmf.smf.mx:article/5531

041.#.7.h: eng

520.3.#.a: This Letter reports the breaking of the spherical symmetry in the complete electromagnetic multipole expansion when its sources are distributed on spherical toroidal surfaces, identifying the specic geometrical and physical changes fromthe familiar case of sources on a spherical surface. In fact, for spherical toroids dened by concentric spherical rings and symmetric conical rings, the boundary conditions at the latter are not compatible in general with integer values for the orbital angular momentum label of the multipole moments: the polar angle eigenfunctions become Legendre functions of order λ and associativity m represented as innite series with a denite parity, and their complementary associated radial functions are spherical Bessel functions of the same order λ. Consequently, the corresponding multipole sources for the electric, magnetic and toroidal moments and their connections are identied within the Debye formalism, and theappropriate outgoing wave Green functions are constructed in the new basis of eigenfunctions of the Helmholtz equation. Our familiarity with the exact solutions, for the cases of the complete sphere and of cylindrical toroids, allow us to give a preliminary account of the electromagnetic elds for the spherical toroids via the integration of their sources and the Green function for resonant cavities and optimum effciency antennas.

773.1.#.t: Revista Mexicana de Física; Vol. 67 No. 2 (2021); 174-179

773.1.#.o: https://rmf.smf.mx/ojs/rmf/index

022.#.#.a: ISSN electrónico: 2683-2224; ISSN impreso: 0035-001X

310.#.#.a: Bimestral

300.#.#.a: Páginas: 174-179

264.#.1.b: Facultad de Ciencias, UNAM

758.#.#.1: https://rmf.smf.mx/ojs/rmf/index

doi: https://doi.org/10.31349/RevMexFis.67.174

handle: 16a2937abbaaf1a4

harvesting_date: 2022-08-17 16:00:00.0

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file_creation_date: 2021-02-23 16:01:03.0

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Artículo

Spherical symmetry breaking in electric, magnetic and toroidal multipole moment radiations in spherical toroidal resonant cavities and optimum-efficiency antennas

Ley Koo, E.; Torres Bustamante, H.; Góngora T., A.

Facultad de Ciencias, UNAM, publicado en Revista Mexicana de Física, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Facultad de Ciencias, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Ley Koo, E., et al. (2021). Spherical symmetry breaking in electric, magnetic and toroidal multipole moment radiations in spherical toroidal resonant cavities and optimum-efficiency antennas. Revista Mexicana de Física; Vol. 67 No. 2, 2021; 174-179. Recuperado de https://repositorio.unam.mx/contenidos/4128567

Descripción del recurso

Autor(es)
Ley Koo, E.; Torres Bustamante, H.; Góngora T., A.
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Spherical symmetry breaking in electric, magnetic and toroidal multipole moment radiations in spherical toroidal resonant cavities and optimum-efficiency antennas
Fecha
2021-07-15
Resumen
This Letter reports the breaking of the spherical symmetry in the complete electromagnetic multipole expansion when its sources are distributed on spherical toroidal surfaces, identifying the specic geometrical and physical changes fromthe familiar case of sources on a spherical surface. In fact, for spherical toroids dened by concentric spherical rings and symmetric conical rings, the boundary conditions at the latter are not compatible in general with integer values for the orbital angular momentum label of the multipole moments: the polar angle eigenfunctions become Legendre functions of order λ and associativity m represented as innite series with a denite parity, and their complementary associated radial functions are spherical Bessel functions of the same order λ. Consequently, the corresponding multipole sources for the electric, magnetic and toroidal moments and their connections are identied within the Debye formalism, and theappropriate outgoing wave Green functions are constructed in the new basis of eigenfunctions of the Helmholtz equation. Our familiarity with the exact solutions, for the cases of the complete sphere and of cylindrical toroids, allow us to give a preliminary account of the electromagnetic elds for the spherical toroids via the integration of their sources and the Green function for resonant cavities and optimum effciency antennas.
Tema
Electromagnetic multipole moment expansion
Idioma
eng
ISSN
ISSN electrónico: 2683-2224; ISSN impreso: 0035-001X

Enlaces