Stopping and time reversal of light in dynamic photonic structures via Bloch oscillations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 2, 2007, Pages

  Longhi, Stefano ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; MOLECULAR STRUCTURE; OPTICAL WAVEGUIDES; PHOTONS; REFRACTIVE INDEX;

BAND COMPRESSION; BLOCH OSCILLATIONS; DYNAMIC TUNING; TRANSLATIONAL INVARIANCE;

LIGHT PROPAGATION;

EID: 33846964504     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.026606     Document Type: Article

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27. For a sinusoidal modulation, Eq. 1 admits of a quasienergy band and the condition J0 (α0 Ω) =0 corresponds to the collapse of the quasienergy band [M. Holthaus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.351 69, 351 (1992)]. More generally, for a fast sinusoidal modulation α (t) = α0 (t) sin (Ωt) of frequency Ω much larger than κ and amplitude α0 which is slowly varying in time, by a multiple-scale analysis one can remove the rapidly varying terms in Eq. 1 and obtain the reduced equations id an dt=- κe (t) (an+1 + an-1) with an effective slowly varying hopping amplitude κe =κ J0 (α0 Ω)
28. [see, e. g., S. Longhi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.193305 73, 193305 (2006)]. A slow change of α0 leads to an adiabatic change of the bandwidth of the waveguide. Light slowing down and stopping in this case is thus analogous to adiabatic band compression of Ref.. The requested modulation frequency Ω, however, turns out to be too high (larger than κ) to be reasonably achieved in practice.