A. M. Zheltikov*, A. V. Tarasishin, and S. A. Magnitski
International Center for Lasers, Moscow State University, Moscow, 119899 Russia
*e-mail: zheltikov@nlsl.ilc.msu.su
Received March 14, 2000
Abstract—It is shown, on the basis of an analysis of the dispersion relation for an infinite one-dimensional
periodic multilayer structure and direct numerical integration of Maxwell’s equations by the finite-difference
method, that structures with photonic band gaps (PBGs) make it possible to provide simultaneously conditions
for phase and group synchronizations for second-harmonic generation with participation of extremely short
light pulses. The phase and group detunings, which arise as a result of the dispersion of the nonlinear medium,
are compensated by the dispersion of the PBG structure. The use of this regime of nonlinearly optical interac-
tions opens up the possibility of attaining high frequency conversion efficiencies irrespective of the synchroni-
zation length in the interior volume of a nonlinear material. © 2000 MAIK “Nauka/Interperiodica”.
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