PMID: 11308595Apr 20, 2001Paper

Diffraction of short pulses with boundary diffraction wave theory

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Z L Horváth, Z Bor

Abstract

The diffraction of short pulses is studied on the basis of the Miyamoto-Wolf theory of the boundary diffraction wave, which is a mathematical formulation of Young's idea about the nature of diffraction. It is pointed out that the diffracted field is given by the superposition of the boundary wave pulse (formed by interference of the elementary boundary diffraction waves) and the geometric (direct) pulse (governed by the laws of geometrical optics). The case of a circular aperture is treated in details. The diffracted field on the optical axis is calculated analytically (without any approximation) for an arbitrary temporal pulse shape. Because of the short pulse duration and the path difference the geometric and the boundary wave pulses appear separately, i.e., the boundary waves are manifested in themselves in the illuminated region (in the sense of geometrical optics). The properties of the boundary wave pulse is discussed. Its radial intensity distribution can be approximated by the Bessel function of zero order if the observation points are in the illuminated region and far from the plane of the aperture and close to the optical axis. Although the boundary wave pulse propagates on the optical axis at a speed exceeding c, it ...Continue Reading

References

Oct 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J FagerholmM M Salomaa
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Z L Horváth, Z Bor
Jan 1, 1992·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·J Y Lu, J F Greenleaf

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Citations

Oct 23, 2003·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Dobryna Zalvidea
Sep 2, 2008·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Damien P KellyKarl Unterrainer
Nov 26, 2008·Optics Express·M ClericiP Di Trapani
Dec 11, 2013·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·S Anaya-VeraJ Garduño-Mejia
Nov 14, 2006·Optics Letters·Carlos J Zapata-Rodríguez, Miguel A Porras
Aug 19, 2009·Optics Express·Heli Valtna-LuknerPeeter Saari
Apr 16, 2007·Optics Express·Omel Mendoza-YeroVicent Climent
Jul 1, 2010·Optics Express·Peeter SaariRick Trebino
Oct 17, 2017·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Yangyundou WangTaco D Visser
Aug 17, 2006·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Carlos J Zapata-Rodríguez
Mar 5, 2013·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Ronan J Mahon, J Anthony Murphy
Aug 22, 2009·Applied Optics·Flor C Estrada-SilvaRoberto Ortega-Martínez
Mar 3, 2020·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Norman G Worku, Herbert Gross

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