title: Elegant Ince-Gaussian beams.
abstract: The existence of elegant Ince-Gaussian beams that constitute a third complete family of exact and biorthogonal elegant solutions of the paraxial wave equation is demonstrated. Their transverse structure is described by Ince polynomials with a complex argument. Elegant Ince-Gaussian beams constitute exact and continuous transition modes between elegant Laguerre-Gaussian and elegant Hermite-Gaussian beams. The expansion formulas among the three elegant families are derived.
authors.affiliation: Photonics and Mathematical Optics Group, Tecnológico de Monterey, Monterey 64849, Mexico. mbandres@grad.physics.sunysb.edu
authors.forename: Miguel A
authors.initials: MA
authors.lastname: Bandres