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Jiangnan daxue xuebao. Ziran kexue ban

Effect of Relative Phase on Probe of Y-Type Four-Level System

Xiangyang Zhang

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

Based on matrix theory,the absorption and dispersion properties of a Y-type four-level system driven by three coherent fields are investigated on the condition of effect spontaneously induced coherence.The result obtained by means of numerical method indicates that by adjusting the relative phase of the coherent field in the steady state,the dispersion(gain) and dispersion of the probe field can be significantly magnified and weakened periodically.Using appropriately parameters,the dispersion curve corresponding to =α is similar to the absorption(gain) curve corresponding to =α+π/2.In addition,the evolution of dispersion with the relative phase of coherent fields shows explicitly optical bistability.

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Jiangnan daxue xuebao. Ziran kexue ban•Jan 1, 2009•0 citations
Based on matrix theory,the absorption and dispersion properties of a Y-type four-level system driven by three coherent fields are investigated on the condition of effect spontaneously induced coherence.The result obtained by means of numerical method indicates that by adjusting the relative phase of the coherent field in the steady state,the dispersion(gain) and dispersion of the probe field can be significantly magnified and weakened periodically.Using appropriately parameters,the dispersion curve corresponding to =α is similar to the absorption(gain) curve corresponding to =α+π/2.In addition,the evolution of dispersion with the relative phase of coherent fields shows explicitly optical bistability.
The effect of the relative phase Φ between the probe and driving fields on gain and dispersion from different aspects in an open quasi-type four-level system by the numerical solution of the steady state was investigated.The results show that by adjusting the value of the relative phase the inversionless gain and dispersion can be periodically amplified and attenuated.High dispersion (refractive index) without absorption can be achieved.The dispersion curve corresponding to Φ=α is similar to the gain curve corresponding to Φ=α+π/2.When the probe field is on resonance,the largest lasing without inversion (LWI) gain can be obtained by adjusting the relative phase.The effect of the atomic exit and injection rates on the LWI gain for different values of the relative phase is also studied.
In this paper, we investigate theoretically the effect of the relative phase ($\ensuremath{\phi}$) between the probe and driving fields on gain (absorption) and dispersion of the probe field in a Doppler-broadened NNN-type four-level system with spontaneously generated coherence from different respects. It is shown that gain (absorption) and dispersion are very sensitive to variations in the relative phase, and changing the Doppler width also has an obvious effect on the phase-dependent gain (absorption) and dispersion. When the probe and driving fields have the same propagation directions (copropagating), for the same Doppler width, the dispersion curve with $\ensuremath{\phi}=\ensuremath{\alpha}$ is the same as the gain (absorption) curve with $\ensuremath{\phi}=\ensuremath{\alpha}+\ensuremath{\pi}/2$; however, when the probe and driving fields have opposite propagation directions (counterpropagating), the dispersion curve and gain (absorption) curve are different and the difference becomes more considerable with an increase in Doppler width. In the co- and counterpropagating cases, gain (absorption) and dispersion always vary periodically with varying $\ensuremath{\phi}$, and the period is 2\ensuremath{\pi}. By adjusting the value of $\ensuremath{\phi}$, the largest gain (absorption) and dispersion can be obtained, and a large index of refraction without absorption can be realized. Generally speaking, gain decreases with an increase in Doppler width, but by adjusting value of $\ensuremath{\phi}$, at some special values of Doppler width, a larger gain than that without Doppler broadening can be obtained. Our study also shows that gain in the copropagating case is much larger than that in the counterpropagating case.
The control role of the relative phase between the probe and driving fields on gain, dispersion and populations in an open V-type three-level system with spontaneously generated coherence is studied. The result shows that by adjusting the value of the relative phase, the transformation between lasing with inversion and lasing without inversion (LWI) can be realized and high dispersion (refractive index) without absorption can be obtained. The shape and value range of the dispersion curve are similar to those of the gain curve, and this similarity is closely related to the relative phase. The effects of the atomic exit and injection rates and the incoherent pump rate on the control role of the relative phase are also analysed. It is found easier to get LWI by adjusting the value of the relative phase using the open system rather than the closed system, and using an incoherent pump rather than without using the incoherent pump. Moreover the open system can give a larger LWI gain than the closed system.
This paper investigates the control role of the relative phase between the probe and driving fields on the gain, dispersion and populations in an open Λ system with spontaneously generated coherence (SGC). It shows that by adjusting the value of the relative phase, a change from lasing with inversion to lasing without inversion can be realized; the values and frequency spectrum regions of the inversionless gain and dispersion can be obviously varied; high refractive index with zero absorption and electromagnetically induced transparency can be achieved. It is also found that when the driving field is resonant, the shapes of the dispersion and the gain curves versus the probe detuning are very similar if the relative phase of the dispersion lags π/2 than that of the gain, however for the off-resonant driving field the similarity will disappear; the gain, dispersion and populations are periodical functions of the relative phase, the modulation period is always 2π; the contribution of SGC to the inversionless gain and dispersion is much larger than that of the dynamically induced coherence.
Using density matrix eqution, the absorption and dispersion properties of a A-type four-level system driven by coherent fields are investigated. The result obtained by means of numerical method indicates that by adjusting the intensity of Rabi frequencies of the coherent field in the steady state, three, double or single electromagnetically induced transparency (EIT) can appear explicitly in this system. And the explanations of these phenomena are given by using the dressed states. In the three EIT, the location of transparent windows can be manipulated by controlling the detuning of the driving field. What's more, it is also found that the medium shows a large refractive index at each transparency window, and the group velocity of the probe laser can be enhanced.
Using numerical simulation methods,the properties of the absorption and dispersion of probe field in a four-level atomic system with two driving fields are analyzed.Under the condition of resonance,electromagnetically induced transparency(EIT) can appear in this system by adjusting the Rabi frequency of the coherent fields.Furthermore,the phenomenon of performance gain can be obtained by choosing appropriate parameters.Meanwhile,lasing without inversion(LWI) can be explicitly realized in this closed system.