2008/10/01 by Omar El Gawhary, Simone Severini, Sergio Severini +2 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Computational physics #Dispersive partial differential equation #Energy (signal processing) #Field (mathematics) #Group (periodic table) #Group velocity #Light field #Mathematics #Nonlinear system #Optics #Photonic and Optical Devices #Physics #Pulse (music) #Quantum mechanics #Quantum optics and atomic interactions #physics.optics
paper · pdf · doi:10.1140/epjp/i2011-11006-0
published as Eur. Phys. J. Plus (2011) 126 : 6 · To be submitted on PRL
arxiv created 2008/10/01 · openalex publication_date 2011/01/18 · arxiv updated 2012/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The interaction between a light pulse, traveling in air, and a generic linear, non-absorbing and dispersive structure is analyzed. It is shown that energy conservation imposes a constraint between the group velocities of the transmitted and reflected light pulses. It follows that the two fields propagate with group velocities depending on the dispersive properties of the environment (air) and on the transmission properties of the optical structure, and are one faster and the other slower than the incident field. In other words, the group velocity of a light pulse in a dispersive medium is reminiscent of previous interactions. One example is discussed in detail.