Abstract
Spectral phase conjugation with short pump pulses in a third-order nonlinear material is analyzed in depth. It is shown that if signal amplification is considered, the conversion efficiency can be significantly higher than previously considered, while the spectral phase conjugation operation remains accurate. A novel method of compensating for cross-phase modulation, the main parasitic effect, is also proposed. The validity of our theory and the performance of the spectral phase conjugation scheme are studied numerically.
Highlights
Spectral phase conjugation (SPC) [1] is the phase conjugation of individual spectral components of an optical waveform, which is equivalent to phase conjugation and time reversal of the pulse envelope
In a recent paper we prove that midway SPC can simultaneously compensate for self-phase modulation (SPM), self-steepening and dispersion [3]
The physical implementation of SPC is first suggested by Miller using short-pump four-wave mixing (FWM) [1], and later demonstrated using photon echo [4, 5], spectral hole burning [6, 7], temporal holography [2], spectral holography [8] and spectral three-wave mixing (TWM) [9]
Summary
Spectral phase conjugation (SPC) [1] is the phase conjugation of individual spectral components of an optical waveform, which is equivalent to phase conjugation and time reversal of the pulse envelope. In a recent paper we prove that midway SPC can simultaneously compensate for self-phase modulation (SPM), self-steepening and dispersion [3]. Low conversion efficiency and parasitic Kerr effects make a practical implementation difficult. We prove that if signal amplification is considered, the SPC process remains intact and the conversion efficiency can grow exponentially with respect to the cross fluence of the two pump pulses, compared with a quadratic growth predicted in Ref. The main parasitic effect is cross-phase modulation (XPM) due to the strong pump, a problem that plagues conventional temporal phase conjugation schemes [10]. We suggest a novel method to compensate for XPM by adjusting the phases of the pump pulses appropriately. Pump depletion is addressed by full three-dimensional simulations
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