Issue |
J. Eur. Opt. Soc.-Rapid Publ.
Volume 6, 2011
|
|
---|---|---|
Article Number | 11035 | |
Number of page(s) | 6 | |
DOI | https://doi.org/10.2971/jeos.2011.11035 | |
Published online | 15 June 2011 |
Regular papers
Optimal pulses for arbitrary dispersive media
1
Department of Applied Physics, Aalto University, P. O. Box 13500, FI-00076 Aalto, Finland
2
The Institute of Optics, University of Rochester, Rochester, NY 14627, USA
3
Department of Physics and Mathematics, University of Eastern Finland, P. O. Box 111, FI-80101 Joensuu, Finland
4
Department of Microelectronics and Applied Physics, Royal Institute of Technology, Electrum 229, SE-164 40 Kista, Sweden
Received:
9
November
2010
A variational procedure is given for finding the pulses for which the initial temporal rms width and the rate of increase of this width are jointly minimized for propagation in non-absorbing media with arbitrary dispersive properties. We show that, while in linearly dispersive media the optimal pulses are Gaussian, in other situations such as a hollow metallic waveguide or for purely cubic dispersion departures from Gaussian behavior become evident. An interpretation of the results in terms of suitable phase-space representations is also given.
Key words: Light pulses / pulse quality factor / phase space / dispersion / variational methods
© The Author(s) 2011. All rights reserved.
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