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
Original Manuscript: April 26, 2006
Manuscript Accepted: June 23, 2006
Haitao Liu, Guoguang Mu, and Lie Lin, "Time-frequency uncertainty relationship of a partially temporally coherent pulse train," J. Opt. Soc. Am. B 23, 2223-2226 (2006)