Synchronization of mutually delay-coupled quantum cascade lasers with distinct pump strengths

Thomas Erneux (Corresponding author), Daan Lenstra

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The rate equations for two delay-coupled quantum cascade lasers are investigated analytically in the limit of weak coupling and small frequency detuning. We mathematically derive two coupled Adler delay differential equations for the phases of the two electrical fields and show that these equations are no longer valid if the ratio of the two pump parameters is below a critical power of the coupling constant. We analyze this particular case and derive new equations for a single optically injected laser where the delay is no longer present in the arguments of the dependent variables. Our analysis is motivated by the observations of Bogris et al. (IEEE J. Sel. Top. Quant. El. 23, 1500107 (2017)), who found better sensing performance using two coupled quantum cascade lasers when one laser was operating close to the threshold.
Originele taal-2Engels
Artikelnummer125
Aantal pagina's14
TijdschriftPhotonics
Volume6
Nummer van het tijdschrift4
DOI's
StatusGepubliceerd - 10 dec 2019

Vingerafdruk

Semiconductor Lasers
Quantum cascade lasers
quantum cascade lasers
synchronism
Synchronization
Lasers
Pumps
pumps
dependent variables
Differential equations
lasers
differential equations
thresholds

Citeer dit

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title = "Synchronization of mutually delay-coupled quantum cascade lasers with distinct pump strengths",
abstract = "The rate equations for two delay-coupled quantum cascade lasers are investigated analytically in the limit of weak coupling and small frequency detuning. We mathematically derive two coupled Adler delay differential equations for the phases of the two electrical fields and show that these equations are no longer valid if the ratio of the two pump parameters is below a critical power of the coupling constant. We analyze this particular case and derive new equations for a single optically injected laser where the delay is no longer present in the arguments of the dependent variables. Our analysis is motivated by the observations of Bogris et al. (IEEE J. Sel. Top. Quant. El. 23, 1500107 (2017)), who found better sensing performance using two coupled quantum cascade lasers when one laser was operating close to the threshold.",
keywords = "two delay-coupled lasers; weak coupling limit; optically injected laser, Optically injected laser, Weak coupling limit, Two delay-coupled lasers",
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Synchronization of mutually delay-coupled quantum cascade lasers with distinct pump strengths. / Erneux, Thomas (Corresponding author); Lenstra, Daan.

In: Photonics, Vol. 6, Nr. 4, 125, 10.12.2019.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

TY - JOUR

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AU - Lenstra, Daan

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AB - The rate equations for two delay-coupled quantum cascade lasers are investigated analytically in the limit of weak coupling and small frequency detuning. We mathematically derive two coupled Adler delay differential equations for the phases of the two electrical fields and show that these equations are no longer valid if the ratio of the two pump parameters is below a critical power of the coupling constant. We analyze this particular case and derive new equations for a single optically injected laser where the delay is no longer present in the arguments of the dependent variables. Our analysis is motivated by the observations of Bogris et al. (IEEE J. Sel. Top. Quant. El. 23, 1500107 (2017)), who found better sensing performance using two coupled quantum cascade lasers when one laser was operating close to the threshold.

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