Theory of Talbot lasers

Abstract : Weprovideatheoreticalstudyoffrequency-shiftedfeedback(FSF)lasers,i.e.,laserswithaninternalfrequency shifter,seededwithamonochromaticwave.Theresultingspectrumconsistsinasetofequidistantmodes,labeled by n, whose phases vary quadratically with n. We prove the emergence of a temporal fractional Talbot effect, leading to generation of Fourier-transform-limited pulses at a repetition rate tunable by the parameters of the FSF cavity (cavity length and frequency shift per round trip), and limited by the spectral bandwidth of the laser. We characterize in detail the output field of this so-called “Talbot laser” and emphasize its specific intensity fluctuations.WeevidenceconnectionswithsomeaspectsofnumbertheorybytheappearanceofGausssumsand thetaseriesintheexpressionofthelaserfield.Ourpredictionsareinfullagreementwiththeexperimentalresults published in Guillet de Chatellus et al. [Opt. Express 21, 15065 (2013)]. Practical applications and limitations are discussed.
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Submitted on : Friday, December 2, 2016 - 2:42:58 PM
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Hugues Guillet de Chatellus, Eric Lacot, Wilfried Glastre, Olivier Jacquin, Olivier Hugon. Theory of Talbot lasers . Physical Review, American Physical Society (APS), 2013, ⟨10.1103/PhysRevA.88.033828⟩. ⟨hal-01407726⟩



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