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High Power Laser and Particle Beams

Fixed-point generation of large high peak optical field

Wang Ganquan

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The propagation regularity of the laser in the 1D resonance media was studied by solving the Maxwell-Bloch equations with definite difference method.It was found that the 2π pulse would not propagate as a soliton but split if the dipole moment or the particles concentration of the resonance media was over a certain value.When two 2π pulses of different pulse widthes propagated through the resonance media,the shorter-duration pulse would catch up with the longer one.If the peak area signs of the two pulses were the same,the optical field indensity would not change obviously,it would add up and a powerful pulse with larger peak area but shorter duration would be generated.Therefore a powerful field could be generated on a fix position by adjusting the pulse width or time lapse of the two pulses properly.

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Laser propagating through resonance media taking into account of spatial effect was discussed by simultaneously solving the Maxwell-Bloch equations with definite differential method. Results indicate that the propagation of a 2π pulse form would no longer be a soliton, its profile would expand, and the degree of distortion depends on the interaction intensity of laser and material: stronger interaction causes more distortion till the profile split. The interaction intensity was decided by such elements as the laser frequency, laser intensity, the dipole of material, detuning and the concentration of resonance particles．

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Journal of Experimental and Theoretical Physics•May 1, 2002•8 citations
The propagation regularity of the laser in the 1D resonance media was studied by solving the Maxwell-Bloch equations with definite difference method.It was found that the 2π pulse would not propagate as a soliton but split if the dipole moment or the particles concentration of the resonance media was over a certain value.When two 2π pulses of different pulse widthes propagated through the resonance media,the shorter-duration pulse would catch up with the longer one.If the peak area signs of the two pulses were the same,the optical field indensity would not change obviously,it would add up and a powerful pulse with larger peak area but shorter duration would be generated.Therefore a powerful field could be generated on a fix position by adjusting the pulse width or time lapse of the two pulses properly.
Laser propagating through resonance media taking into account of spatial effect was discussed by simultaneously solving the Maxwell-Bloch equations with definite differential method. Results indicate that the propagation of a 2π pulse form would no longer be a soliton, its profile would expand, and the degree of distortion depends on the interaction intensity of laser and material: stronger interaction causes more distortion till the profile split. The interaction intensity was decided by such elements as the laser frequency, laser intensity, the dipole of material, detuning and the concentration of resonance particles．
The spatial effect of ultrashort pulse laser propagating through the cylindrical symmetry resonance media was discussed by solving the Maxwell-Bloch equations simultaneously with the definite differential method.Results indicate that the propagating of a 2π pulse form would no longer be a soliton when spatial effect was taken into account,its profile would distort, and the degree of distortion depends on the interaction intensity of laser and material: the stronger interaction,the more distortion till the profile split.The interaction intensity was decided by such elements as the laser intensity,the dipole of material,and the concentration of resonance particles.Two problems were solved in numerical calculation,one was that a term of 1/r in Maxwell was divergence in the cylindrical center where r=0,another was that the value of optical field at the cylindrical center was difficult to be decided when the cylindrical center set as a boundary condition in the Maxwell equation.So the values of optical field need just calculating from the cylindrical center to the cylindrical boundary,comparing with that from one cylindrical boundary to another cylindrical boundary,nearly half CPU time and RAM are saved.
Exact single-soliton solutions of the modified system of Maxwell-Bloch equations, in which the dipole-dipole interactions of the atoms of a dense resonant medium are taken into account, are obtained. Two propagation regimes are analyzed: “coherent,” where the pulse duration is much shorter than both relaxation times ( T p ≪ T 1 , T 2 ), and “incoherent,” where the pulse duration falls between the relaxation times ( T 2 ≪ T p ≪ T 1 ). It is predicted, for the first time, that soliton propagation of an ultrashort pulse is possible in a dense resonant absorbing medium in an incoherent interaction regime. The differences between the amplitude and phase characteristics of the solitons considered and the corresponding characteristics of the solitons for McCall-Hahn self-induced transparency are noted.
We demonstrate that a single subcycle optical pulse can be generated when a pulse with a few optical cycles penetrates through resonant two-level dense media with a subwavelength structure. The single-cycle gap soliton phenomenon in the full Maxwell-Bloch equations without the frame of the slowly varying envelope and rotating wave approximations is observed. Our study shows that the subwavelength structure can be used to suppress the frequency shift caused by intrapulse four-wave mixing in continuous media and supports the formation of single-cycle gap solitons even in the case when the structure period breaks the Bragg condition. This suggests a way toward shortening high-intensity laser fields to few- and even single-cycle pulse durations.
For pt.I see ibid., vol.10, p.425 (1977). The effect of spatial dispersion or exciton formation on the steady propagation of a coherent light pulse in a dielectric medium is studied. The optical Bloch equation for a lattice of atomic dipoles coupled to one another by an exchange-type interaction is solved simultaneously with the Maxwell equation by the method of power-series expansion developed in the preceding paper. Two kinds of pulse solutions are obtained in general: one propagating by the medium of the radiation field and the other by excitation transfer between atomic dipoles. The former solution is SIT-like in the short pulse limit, but a polariton-soliton or a standing wave of non-linear polariton if the pulse width is long. The latter is an exciton-soliton containing little photon component. When the pulse width is extremely long, there appears a polariton-soliton of a new type in which the two propagation mechanisms are mixed. It is found that the spatial dispersion prevents the polariton-soliton solutions from existing in a certain frequency range. This effect is explained on the basis of the functional behavior of the dispersion relation of the non-linear polariton.
The dynamics of pulses with durations comparable to the inverse transition frequency that propagate in an optical medium is studied in terms of two integrable systems of Maxwell-Bloch equations. The first model describes the field interaction with a nondegenerate medium with a permanent dipole moment and permanent external pumping. A general formula is derived for the N -soliton solution. Particular solutions are used as examples to investigate the effect of permanent dipole moment and pumping on the soliton dynamics. The second model describes the interaction between two-component electric-field pulses and a two-level degenerate medium with permanent upper-level pumping. For different initial magnetic-sublevel populations, soliton solutions are used as examples to show that pumping causes a change in polarization dynamics. A two-soliton solution is used to analyze the interaction of solitons in a two-level medium with external pumping.