Modulation instability of electromagnetic radiation in narrow-gap semiconductors

Pseudorelativistic effects on solitons in quantum semiconductor plasma

“…For the InSb semiconductor, the effective dielectric is s = 14e0, with £() being the vacuum dielectric constant [24], and nQ is the unperturbed density of the electrons and also of the positive neutralizing ionic background. Equations (2) and (4) are our desired system that describes pseudorelativistic semiconductor plasma collective interactions in the quantum regime.…”

“…The resulting nonlinear system of equations is then solved numerically by Newton's method. The typical parameters for semiconductor InSb plasma are chosen as [24] Eg = 3.7 x 10^20 J, m* = me/ l \ , e = \6e0, c* = c/253, n0 ~ 1020 -1023 n T 3. The numerical solutions are displayed in Fig.…”

“…Electromagnetic solitons can appear in dense n-doped InSb semiconductor plasma due to pseudorelativistic nonlinear effects [24][25][26], but the above research does not consider the quantum effects on electro magnetic solitons. Accordingly, the influence of the combi nation of pseudorelativity and quantum effects on solitons is investigated in narrow-gap semiconductors in this paper.…”

Filamentation and coalescence of singular optical pulses in narrow-gap semiconductors and modeling of self-organization of vortex solitons using two-photon absorption

“…22 Furthermore, the modulation instability in narrow-gap semiconductors is suggested to produce subpicosecond midinfrared pulses. 23 In this paper, we investigate, using analytical and numerical methods, the dynamics of short singular pulses in the narrow-gap semiconductors exhibiting not only reactive but also active mechanisms related to the energy dissipation of laser radiation. Both mechanisms in synergy generate a saturating refractive nonlinearity.…”

Stability and nesting of dissipative vortex solitons with high vorticity

“…Recently we found that dissipative vortices with vorticity S = 1 spontaneously break axial symmetry due to modulational instability. They either break into filaments or * vladimir.skarka@univ-angers.fr evolve into stably rotating ellipsoidal solitons [10], It is considered that vortex structures with high topological charge 5 should be unstable due to the increase of modulational instability with the increase of vorticity [4], Indeed, for higher vorticity the radius of the broad one-dimensional Gaussian laser beam in conservative systems is subject to strong modulational instability causing it to break into filaments [11], Up to now, stable vortices were reported only up to S = 5 in conservative systems [12] and up to 5 = 3 for dissipative ones [13]. Hence, vortices with high charge 5 are commonly considered as unstable.…”