Metal-insulator transition in the spectrum of a frequency-modulation mode-locked laser

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 1, 2008, Pages

  Longhi, Stefano ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DIELECTRIC DEVICES; FREQUENCY MODULATION; GAUSSIAN BEAMS; LASER MODE LOCKING; SPECTRUM ANALYSIS;

DIELECTRIC PLATES; INCOMMENSURATE HARPER MODEL; LASER EMISSION;

METAL INSULATOR TRANSITION;

EID: 40749124931     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.015807     Document Type: Article

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27. As mode coupling produced by the phase modulator is proportional to the overlapping integrals In,n±1 = L- dm L dz Un (z) Un±1 (z) of adjacent normal modes over the spatial extension dm of the modulator [see, for instance, Eq. (65) of Chap. 27 in Ref.], the coupling terms (Δ/2) (En+1 + En-1) in Eq. 1 should be more rigorously written as (1/2) (Δn,n-1 En-1 + Δn,n+1 En+1), with Δn,n-1 = Δn-1,n. However, for a typical refractive index n1 =1.5 of the dielectric plate and assuming a plate tickness d sufficiently smaller than the free-space length L of the cavity, the deviation of Δn,n±1 from its mean value is very small and can be neglected. For instance, for parameter v'alues used in the simulations of Figs. 2 3 and for a modulator thickness dm =2 cm, a detailed calculation of normal modes and overlapping integrals In,n±1 shows that the oscillations of Δn,n±1 around its mean value is less than ±1.3%. The metal-insulator transition, discussed in this work in the framework of the Harper model, is in any case robust against a modulation of the couping Δ [see K. Drese and M. Holthaus, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.R14693 55, R14693 (1997)].
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