• Chinese Optics Letters
  • Vol. 13, Issue 8, 081407 (2015)
Jiantao Lü1, Ting Fan2、*, and Guojie Chen1
Author Affiliations
  • 1School of Science, Foshan University, Foshan 528000, China
  • 2School of Electronics and Information Engineering, Foshan University, Foshan 528000, China
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    DOI: 10.3788/COL201513.081407 Cite this Article Set citation alerts
    Jiantao Lü, Ting Fan, Guojie Chen. Temporal properties of random lasers under ultrashort pulse excitation[J]. Chinese Optics Letters, 2015, 13(8): 081407 Copy Citation Text show less

    Abstract

    Temporal properties of random lasing under ultrashort pulse excitation are investigated in a two-dimensional disordered medium. The pumping light is described individually and coupled into the rate equations. The Maxwell equations and rate equations are numerically solved by using the finite-difference time domain method. The time evolution of the emission pulse is studied with the variation of the surface-filling fraction, refractive index, and scatterer radius. Results show that the behavior of random lasing depends strongly on the sample parameters. Our work enriches the knowledge about random lasers in the ultrashort pulse pumping regime and offers some guidance for relevant experiments.
    dN3dt=N3τ32E1ω1·dP1dt,(1)

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    dN2dt=N3τ32+E2ω2·dP2dtN2τ21,(2)

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    dN1dt=N2τ21E2ω2·dP2dtN1τ10,(3)

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    dN0dt=N1τ10+E1ω1·dP1dt,(4)

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    μ0Hixt=Eizy,(5)

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    μ0Hiyt=Eizx,(6)

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    εjε0Eizt+Pizt=HiyxHixy.(7)

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    d2P1dt2+Δω1dP1dt+ω12P1=κ1(N3N0)E1,(8)

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    d2P2dt2+Δω2dP2dt+ω22P2=κ2(N1N2)E2,(9)

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    E1(t)=Epeakexp(4π(tt0)2τ2),(10)

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    Jiantao Lü, Ting Fan, Guojie Chen. Temporal properties of random lasers under ultrashort pulse excitation[J]. Chinese Optics Letters, 2015, 13(8): 081407
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