PMID: 11308791Apr 20, 2001Paper

Group velocity, energy velocity, and superluminal propagation in finite photonic band-gap structures

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
G D'AguannoM Bertolotti

Abstract

We have analyzed the notions of group velocity V(g) and energy velocity V(E) for light pulses propagating inside one-dimensional photonic band gap structures of finite length. We find that the two velocities are related through the transmission coefficient t as V(E)=/t/(2)V(g). It follows that V(E)=V(g) only when the transmittance is unity (/t/(2)=1). This is due to the effective dispersive properties of finite layered structures, and it allows us to better understand a wide range of phenomena, such as superluminal pulse propagation. In fact, placing the requirement that the energy velocity should remain subluminal leads directly to the condition V(g)<or=c//t/(2). This condition places a large upper limit on the allowed group velocity of the tunneling pulse at frequencies of vanishingly small transmission.

References

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Citations

Sep 4, 2006·Optics Express·Jacek Pniewski, Tomasz Szoplik
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G D'AguannoM J Bloemer
Aug 25, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G D'AguannoA M Zheltikov
Jul 18, 2018·Reports on Progress in Physics·Daryl I VulisEric Mazur
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S V Zhukovsky, S V Gaponenko
Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paul N Stavrinou, Laszlo Solymar
Nov 17, 2007·Optics Letters·G D'AguannoM Bertolotti
Jun 13, 2014·Optics Express·M de Dios-LeyvaJ C Drake-Pérez
Sep 22, 2011·Optics Express·Winston FriasAkira Hirose
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nian-Hua LiuXiang Wu
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mark BloemerGiuseppe D'Aguanno
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Herbert G Winful
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alain Haché, Sophie Essiambre
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yong-Hong YeQ M Zhang
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G D'AguannoM Bertolotti
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fabio Ghiringhelli, Mikhail N Zervas
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Haché, L Poirier

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