Limitation on the efficiency of frequency doublers of picosecond light pulses

Karamzin, Yu. N.; Sukhorukov, Anatolii P

doi:10.1070/qe1975v005n05abeh011160

Cited by 24 publications

(12 citation statements)

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“…Also, the difference Fermi resonance interaction transforms an incident c wave at the interface into a and b waves outgoing from the interface in opposite directions. For ordinary Fermi resonance interface modes it was found previously [6,7] that thin nonlinear films can also support localized soliton-like nonlinear waves analogous to the parametric cascading solitons in nonlinear optics [13] that have been observed experimentally [14]. Similar structures can therefore also be expected in three-wave Fermi resonance systems of the type considered in this paper.…”

Section: Discussionsupporting

confidence: 64%

Difference frequency Fermi resonance interface modes in organic multilayer structures

2002

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Difference Fermi resonance interface modes occur in layered molecular materials when two excitations on one side of an interface differ in energy by an amount that matches approximately the energy of an excitation to which they are coupled on the other side, provided that the mismatch (detuning) is less in magnitude than the non-linear coupling across the interface. Under this resonance condition, the Schr€ o odinger equation is formulated for a superposition of oneparticle and two-particle states, and a set of coupled equations is derived for the allowed energies. The equations are solved for the general cases when there is only one layer on one side of the interface and an arbitrary number on the other side, and also for the case of two layers on either side. Ó

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Section: Discussionsupporting

confidence: 64%

Difference frequency Fermi resonance interface modes in organic multilayer structures

2002

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“…As a result, the slope of the idler D tends to the linear propagation value. In contrast, in OPA, it is well-known that the gainguiding will drag the signal toward the center of the pump, which in effect reduces its walk-off [17]. As a result, the idler D is less affected by δv sp .…”

Section: Effect Of Gvmsmentioning

confidence: 98%

“…Specifically, we identify the following factors that influence the phase: (i) the initial injection condition, i.e., whether the NIR pulse or the MIR pulse (denoted by NIR/MIR injection hereafter) is injected at the crystal boundary, and (ii) transfer of the phase accumulated by the higher-frequency fields due to GVD. Phase transfer has been studied in second-harmonic generation (SHG), in the assumption of large phase mismatch that leads to rather poor conversion efficiency [15], or in OPA in the spatial domain, at degeneracy under the assumption of undepleted plane wave pumping [16,17]. Through analytic expression derived, we demonstrate that in DFG with NIR injection, under the assumption of negligible pump depletion, the phase shift induced by GVD at the MIR wavelength is only half of that experienced in linear propagation.…”

Section: Introductionmentioning

confidence: 99%

Spectral phase shifts in femtosecond parametric down-conversion with media dispersion

Qiu

Zhu

et al. 2010

Phys. Rev. A

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We theoretically study the spectral phase shift of a midinfrared (MIR) femtosecond pulse generated through parametric frequency down-conversion in dispersive media, with an emphasis on the effect of group-velocity dispersion (GVD), with the aim of obtaining guidelines for dispersion compensation and pulse compression in such systems. It is found that the spectral phase of the generated MIR pulse differs significantly from that of due to its linear propagation. We consider two common ways of MIR femtosecond pulse generation: difference frequency generation (DFG) and optical parametric amplification (OPA). The resultant spectral phase is determined by the initial injection condition, and the transfer of the spectral phase accumulated by the higher-frequency fields. Our results show that in DFG, pump depletion has little effect on the spectral phase, while in OPA, the combined effect of linear GVD and high parametric gain leads to a notable dependence of spectral phase on gain-the higher the gain, the less the spectral phase. Quantitatively, under conditions where the MIR pulse is generated through injection of two higher-frequency fields, its spectral phase is close to only half of that accumulated through linear propagation in DFG, while it is even smaller in OPA. To obtain the shortest MIR femtosecond pulse, these results determine the amount of dispersion that needs compensation.

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“…The soliton solutions of Eqs. (5) and (6) for s2 = 1 can be stable without boundary confinement [3,4,20,25], whereas the soliton solutions for 52 = -1 cannot be stable unless subject to boundary confine ment [25][26][27][28][29]. We consider only the case s2 = -1 and 51 = 1 in this paper.…”

Section: Nonlocal Modelmentioning

confidence: 99%

“…The trapping results from the rapid exchange o f phase and energy betw een the tw o-frequency waves rather than the self-induced change in the refractive index. Since their theoretical prediction [3,4] in the 1970s and experim ental observations [5,6] in the 1990s, quadratic solitons have attracted increasing attention because o f their potential applications in ultrafast all-optical sw itching and controlling o f light by light [7,8]. To date, the basic properties o f quadratic solitons have been well investigated [2,9], and the underlying physics behind them have also been discovered by several authors [10,11].…”

Section: Introductionmentioning

confidence: 99%

Stable quadratic solitons consisting of fundamental waves and oscillatory second harmonics subject to boundary confinement

Wang

et al. 2015

Phys. Rev. A

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We investigate quadratic solitons consisting of fundamental waves and oscillatory second harmonics, which can be stable when subject to boundary confinement. A family of quadratic solitons whose fundamental waves can be monopole, dipole, or even multipole are found numerically. The existence of solitons, depending on the sample size and degree of nonlocality, are given for strongly, generally, and weakly nonlocal cases, respectively.

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Limitation on the efficiency of frequency doublers of picosecond light pulses

Cited by 24 publications

References 0 publications

Difference frequency Fermi resonance interface modes in organic multilayer structures

Difference frequency Fermi resonance interface modes in organic multilayer structures

Spectral phase shifts in femtosecond parametric down-conversion with media dispersion

Stable quadratic solitons consisting of fundamental waves and oscillatory second harmonics subject to boundary confinement

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