• Photonics Research
  • Vol. 6, Issue 6, 525 (2018)
Carlo Edoardo Campanella1、2、*, Martino De Carlo1, Antonello Cuccovillo2, and Vittorio M. N. Passaro1
Author Affiliations
  • 1Photonics Research Group, Dipartimento di Ingegneria Elettrica e dell’Informazione, Politecnico di Bari, Via E. Orabona n. 4, 70125 Bari, Italy
  • 2QOpSyS SRL, Via Matteotti n. 23, 70023 Gioia del Colle, Bari, Italy
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    DOI: 10.1364/PRJ.6.000525 Cite this Article Set citation alerts
    Carlo Edoardo Campanella, Martino De Carlo, Antonello Cuccovillo, Vittorio M. N. Passaro. Loss-induced control of light propagation direction in passive linear coupled optical cavities[J]. Photonics Research, 2018, 6(6): 525 Copy Citation Text show less

    Abstract

    Redirecting the flow of light on the basis of the absorption/gain properties of optical systems is of great interest in many research fields, ranging from optical routing to optical cloaking. In this paper we investigate the control of the direction of the light propagation through loss-induced absorption in passive linear coupled optical systems. The considered optical system consists of a mode-splitting resonant cavity formed by coupling a Fabry–Perot (FP) cavity with a ring resonator. The coalescence of the asymmetric resonances, generated through mode-splitting dynamics, is the spectral result of the parity time symmetry breaking at FP resonance wavelengths. For specific values of the FP overall loss, a predominant backward propagation in the FP ring resonator occurs. In fiber optics technology, this device shows an ability to invert the sense of propagation of the light, quantified through the contrast ratio, in the order of 20 dB. This value can be obtained by externally varying the FP loss coefficient for a fixed set of the other physical parameters of the FP ring resonator. Our results can open a new way toward novel high-performance optical modulation and routing schemes.
    Tmirror=[tr2/tr/tr/t1/t],(1)

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    [ACW(lFP)ACCW(lFP)]=Tmirror[  aejβlFP200aejβlFP2]Tmirror[ACW(0)ACCW(0)]=T[ACW(0)ACCW(0)],(2)

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    Sc=1T22[det(T)T21T21det(T)]=[tFPrFPrFPtFP].(3)

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    rFP=r(1e2jϕa)1r2e2jϕa,(4)

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    tFP=(r21)ejϕa1r2e2jϕa,(5)

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    [ACW(lFP)ACCW(0)]=Sc[ACW(0)ACCW(lFP)].(6)

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    ACW(0)=jkeαIL/4ejβL/4EiCW+τ2eαILejβLACW(lFP),(7)

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    ACCW(lFP)=τ2eαILejβLACCW(0),(8)

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    [ACW(lFP)ACCW(0)]=Sc[jkeαIL/4ejβL/4EiCW0]+Sc[τ2eαILejβLACW(lFP)τ2eαILejβLACCW(0)],(9)

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    M[ACW(lFP)ACCW(0)]=jkeαIL/4ejβL/4[tFPEiCWrFPEiCW],(10)

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    M=[1tFPτ2eαILejβLrFPτ2eαILejβLrFPτ2eαILejβL1tFPτ2eαILejβL].(11)

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    (1tFPτ2eαILejβL)2(rFPτ2eαILejβL)2=0.(12)

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    βSym=(1L)·[2πq+2jln|tFP+rFP|2arg(tFP+rFP)+2jln(τaI)],βAsym=(1L)·[2πq+2jln|tFPrFP|2arg(tFPrFP)+2jln(τaI)],(13)

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    βFP=(1lFP)[πm+2jln(ra)],(14)

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    EOCW=jkeαIL/4ejβL/4ACW(lFP)=12Sym+12Asym,(15)

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    EOCCW=jkeαIL/4ejβL/4ACCW(0)=12Sym12Asym,(16)

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    Sym=k2aIejβL/2(tFP+rFP)1τ2aI2ejβL(tFP+rFP)EiCW,(17)

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    Asym=k2aIejβL/2(tFPrFP)1τ2aI2ejβL(tFPrFP)EiCW.(18)

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    ar2+(1a)ra=0.(19)

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    Asym=0r=a1+(1a)24a2a.(20)

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    CR=|EOCCWEOCW|2|EiCW=|SymAsymSym+Asym|2|EiCW.(21)

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    Carlo Edoardo Campanella, Martino De Carlo, Antonello Cuccovillo, Vittorio M. N. Passaro. Loss-induced control of light propagation direction in passive linear coupled optical cavities[J]. Photonics Research, 2018, 6(6): 525
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