Abstract

On the basis of the recently introduced definition of energy spectrum of a partially temporally coherent pulse train [Opt. Lett. 29, 394 (2004) ], we show that the well-known time–frequency uncertainty relationship applicable to a fully temporally coherent pulse train is still correct for a partially temporally coherent pulse train. The condition under which the uncertainty relationship reaches equality is derived. An example is presented to illustrate the validity of the uncertainty relationship.

© 2006 Optical Society of America

Two-time coherence of pulse trains and the integrated degree of temporal coherence

Rahul Dutta, Ari T. Friberg, Göery Genty, and Jari Turunen
J. Opt. Soc. Am. A 32(9) 1631-1637 (2015)

Coherence theory of noise in ultrashort-pulse trains

Víctor Torres-Company, Hanna Lajunen, and Ari T. Friberg
J. Opt. Soc. Am. B 24(7) 1441-1450 (2007)

Temporal coherence and polarization modulation of pulse trains by resonance gratings

Henri Pesonen, Peng Li, Tero Setälä, and Jari Turunen
J. Opt. Soc. Am. A 37(1) 27-38 (2020)

Theory of spatially and spectrally partially coherent pulses

Hanna Lajunen, Pasi Vahimaa, and Jani Tervo
J. Opt. Soc. Am. A 22(8) 1536-1545 (2005)

Coherent-mode representation of partially polarized pulsed electromagnetic beams

Timo Voipio, Tero Setälä, and Ari T. Friberg
J. Opt. Soc. Am. A 30(11) 2433-2443 (2013)