Nonazimuthally symmetric localized pulses in the optical domain

Josue Davila; Julio C. Gutiérrez-Vega

doi:10.1117/12.742369

16 May 2007 Nonazimuthally symmetric localized pulses in the optical domain

Proceedings Volume 6422, Sixth Symposium Optics in Industry; 64221L (2007) https://doi.org/10.1117/12.742369
Event: Sixth Symposium Optics in Industry, 2007, Monterrey, Mexico

Abstract

We obtain X-shaped localized pulses based on a superposition of non-diffracting optical fields of different frequencies. We explore the construction of arbitrary traveling electromagnetic pulses that remain invariant in shape and re-derive an expression for these pulses in terms of non-diffracting beams with arbitrary transverse distribution. We emphasize in the known orthogonal families of solutions to the wave equation that have translation symmetries in only one dimension (i.e. Bessel, Mathieu and Parabolic beams). We present several examples of higher order Mathieu localized pulses as well as Parabolic pulses of arbitrary parabolicity. We consider feasible spectral functions in the optical domain.

Citation Download Citation

Josue Davila and Julio C. Gutiérrez-Vega "Nonazimuthally symmetric localized pulses in the optical domain", Proc. SPIE 6422, Sixth Symposium Optics in Industry, 64221L (16 May 2007); https://doi.org/10.1117/12.742369

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