Coherence theory of noise in ultrashort-pulse trains

Victor Torres-Company, Hanna Lajunen, Ari T. Friberg

Research output: Contribution to journalArticleScientificpeer-review

16 Citations (Scopus)

Abstract

We study the influence of noise in ultrashort-pulse trains in terms of the concepts of optical coherence theory. Specifically, we consider the effects of temporal partial coherence and the timing jitter, including their possible statistical dependence. Analytical expressions for the optical power spectrum, average intensity, mutual coherence function, and the cross-spectral density function of different partially coherent pulse trains affected by stationary noise are given. We show that the new frequencies appearing due to the presence of noise are always fully uncorrelated, unless they are separated by an integral multiple of the repetition rate of the pulses in the train. We also find that spikes appear in the optical power spectrum when the noise and timing jitter are correlated.
Original languageEnglish
Pages (from-to)1441-1450
JournalJournal of the Optical Society of America B: Optical Physics
Volume24
Issue number7
DOIs
Publication statusPublished - 2007
MoE publication typeA1 Journal article-refereed

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pulses
power spectra
optical spectrum
time measurement
vibration
spikes
repetition

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Torres-Company, Victor ; Lajunen, Hanna ; Friberg, Ari T. / Coherence theory of noise in ultrashort-pulse trains. In: Journal of the Optical Society of America B: Optical Physics. 2007 ; Vol. 24, No. 7. pp. 1441-1450.
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Coherence theory of noise in ultrashort-pulse trains. / Torres-Company, Victor; Lajunen, Hanna; Friberg, Ari T.

In: Journal of the Optical Society of America B: Optical Physics, Vol. 24, No. 7, 2007, p. 1441-1450.

Research output: Contribution to journalArticleScientificpeer-review

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AU - Lajunen, Hanna

AU - Friberg, Ari T.

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AB - We study the influence of noise in ultrashort-pulse trains in terms of the concepts of optical coherence theory. Specifically, we consider the effects of temporal partial coherence and the timing jitter, including their possible statistical dependence. Analytical expressions for the optical power spectrum, average intensity, mutual coherence function, and the cross-spectral density function of different partially coherent pulse trains affected by stationary noise are given. We show that the new frequencies appearing due to the presence of noise are always fully uncorrelated, unless they are separated by an integral multiple of the repetition rate of the pulses in the train. We also find that spikes appear in the optical power spectrum when the noise and timing jitter are correlated.

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