Abstract

In mode-locked laser studies and other applications, it is desirable to derive relationships giving the time-domain length and the properties of the waveform under the envelope for pulses presenting narrow spectral widths, without performing inverse-Fourier-transform calculations. The method presented is based on an approximate expression for the transform of a sinusoid with variable frequency, and leads to simple rules for pulse-length evaluation from the frequency-domain phase function. If the phase function has no inflection points, the length is approximately equal to the range covered by the slope of the phase function, and the actual waveform sweeps monotonically in frequency. When inflection points occur, the pulse comprises several superimposed envelopes, each modulating a monotonically swept sinusoid. The effect of dispersive filters is also analyzed. Illustrative examples are discussed numerically.

© 1972 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Phase space distributions tailored for dispersive media

Jonathan C. Petruccelli and Miguel A. Alonso
J. Opt. Soc. Am. A 27(5) 1194-1201 (2010)

Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide

Daisuke Mori and Toshihiko Baba
Opt. Express 13(23) 9398-9408 (2005)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (33)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription