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Chinese Physics B

Er 3+ ion concentration effect on transient and steady-state behavior in Er 3+ :YAG crystal

Seyyed Hossein Asadpour, HAMID RAHIMPOUR SOLEIMANI

Published Oct 1, 2014• 2 citations
Publisher

Abstract

The effect of Er 3+ ion concentration on transient and steady-state behavior in 45-nm Er 3+ :YAG crystal is investigated. It is shown that by changing the signal field, the coherent field and the concentration of Er 3+ ions in the crystal, the absorption, dispersion, and group index of the weak probe field can be adjusted. Also, it is found that the probe absorption occurs in the presence of population inversion and probe amplification is obtained in the absence of population inversion.

DOI
10.1088/1674-1056/23/10/104223

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Journal of Nonlinear Optical Physics & Materials•Jul 3, 2026•0 citations
The effect of Er 3+ ion concentration on transient and steady-state behavior in 45-nm Er 3+ :YAG crystal is investigated. It is shown that by changing the signal field, the coherent field and the concentration of Er 3+ ions in the crystal, the absorption, dispersion, and group index of the weak probe field can be adjusted. Also, it is found that the probe absorption occurs in the presence of population inversion and probe amplification is obtained in the absence of population inversion.
A four-level system is proposed to produce large index of refraction accompanied by vanishing absorption in the Er 3+ -doped yttrium aluminium garnet (YAG) crystal. It is found that the high index of refraction with zero absorption can be provided by adjusting the incoherent pumping, the coherent field, as well as the concentration of Er 3+ ions in the crystal. Furthermore, the value of the incoherent pump to achieve the high index of refraction with zero absorption is greatly changed with increasing the concentration of Er 3+ ions in the crystal. This indicates that the effect of concentration on the high index of refraction with zero absorption cannot be neglected.
The electromagnetically induced left-handedness with zero absorption and large negative refractive index was investigated in a solid Er3+:YAG crystal with a four-level system proposed for an atomic medium. It was found that the frequency region with simultaneous negative permittivity and negative permeability, the zero absorption intervals, and the maximum values of the negative refractive index can be adjusted by changing the signal field, the coherent field, as well as the concentration of Er3+ ion in crystal. It is shown that wider zero absorption intervals with a higher index of refraction can be easily obtained when the signal field is only off resonance. The slab fabricated by the left-handed solid medium Er3+:YAG crystal with zero absorption may be a practical candidate for designing perfect lenses.
The effect of Er[Formula: see text] ion concentration and incoherent pumping field on the Fraunhofer diffraction pattern of the transmitted light beam in Er[Formula: see text]: YAG crystal is discussed. It is shown that under different concentration of Er[Formula: see text] ion in crystal, the energy of the probe light can transfer to the higher orders of the grating. Also, it is shown that the switching from electromagnetically induced grating to electromagnetically induced phase gratin or vice versa can be obtained by different concentration of Er[Formula: see text] ion and incoherent pumping rate in crystal. Moreover, we have found that by replacing the probe light by optical vortex light, the asymmetric diffraction pattern can be obtained by tuning the optical vorticity of optical vortex light. In this case, the asymmetric diffraction pattern can also be controlled at different ion concentration.
In this paper, we investigate the effect of Er[Formula: see text]ion concentration on the transfer of orbital angular momentum (OAM) in an Er[Formula: see text]-doped yttrium aluminum garnet (YAG) crystal with a three-level ladder-type configuration, mediated by the optical nonlinear process of three-wave mixing (TWM). The OAM information from the incident vortex probe field can be transferred to the generated mixing field through the optical nonlinear process. Due to the change of electric dipole moment and spontaneous emission decay induced by Er[Formula: see text]ion concentration, the OAM transfer depends sensitively on the ion concentration. Furthermore, under different Er[Formula: see text] ion concentrations, the intensity and detuning of the control field have different effects on the conversion efficiency of OAM. More importantly, the conversion efficiency of OAM can be significantly enhanced by choosing suitable values of the control intensity and detuning at [Formula: see text] Er[Formula: see text]ion concentration. Finally, we explore the effect of Er[Formula: see text]ion concentration on the spatial distribution of the probe absorption. Moreover, the spatial absorption of the probe field is shown to evolve with propagation distance within the medium. It is obvious that the spatial pattern of the probe absorption can be effectively controlled via adjusting the detuning of the probe field. Therefore, our scheme enables efficient OAM transfer via second-order nonlinear three-wave mixing in an Er[Formula: see text]-doped YAG crystal by selecting suitable Er[Formula: see text] ion concentration, and may find potential applications in nonlinear quantum optics.