On the longitudinal component of paraxial fields

The analysis of paraxial Gaussian beams features in most undergraduate courses in laser physics, advanced optics and photonics. These beams provide a simple model of the field generated in the resonant cavities of lasers, thus constituting a basic element for understanding laser theory. Usually, uni...

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Detalhes bibliográficos
Autores: Carnicer González, Arturo, Juvells Prades, Ignacio, Maluenda Niubó, David, Martínez-Herrero, Rosario, Mejías, Pedro M.
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2012
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/43549
Acesso em linha:https://hdl.handle.net/2445/43549
Access Level:acceso abierto
Palavra-chave:Làsers
Fotònica
Electromagnetisme
Òptica geomètrica
Equacions de Maxwell
Lasers
Photonics
Electromagnetism
Geometrical optics
Maxwell equations
Descrição
Resumo:The analysis of paraxial Gaussian beams features in most undergraduate courses in laser physics, advanced optics and photonics. These beams provide a simple model of the field generated in the resonant cavities of lasers, thus constituting a basic element for understanding laser theory. Usually, uniformly polarized beams are considered in the analytical calculations, with the electric field vibrating at normal planes to the propagation direction. However, such paraxial fields do not verify the Maxwell equations. In this paper we discuss how to overcome this apparent contradiction and evaluate the longitudinal component that any paraxial Gaussian beam should exhibit. Despite the fact that the assumption of a purely transverse paraxial field is useful and accurate, the inclusion of the above issue in the program helps students to clarify the importance of the electromagnetic nature of light, thus providing a more complete understanding of the paraxial approach.