Wide defect in a Resonantly Absorbing Bragg Grating as a nonlinear microresonator for polaritons

Elena V. Kazantseva; Andrei I. Maimistov

Home/Archive/arXiv

arXiv · 0707.1114

Wide defect in a Resonantly Absorbing Bragg Grating as a nonlinear microresonator for polaritons

Elena V. Kazantseva·Andrei I. Maimistov

View original source ↗Read source document ↗Export metadata ↓

Abstract

The nonlinear polariton transmission, reflection and trapping by a defect in the resonantly absorbing Bragg grating (RABG) is demonstrated in numerical simulation. It is shown that the wide defect under some conditions could effectively serve as microresonator for polaritonic wave storage. The three types of the defect such as microcavity, groove and stripe are considered. Capture the electromagnetic field inside the microcavity (with no resonant nanoparticles) placed in the RABG is observed, as well as stuck of trapped polarization modes to the defect edges for the groove (defect span with reduced density of nanoparticles) and for the stripe with relatively increased density. Strong radiation reflection and adhered propagation of the polarization mode along the first edge of the stripe with high density of resonant atoms is exhibited by numerical computation.

Explore related subjects

nlin.PS

Keep this discovery

Explore connections, maps & timelines

BibTeX RIS

Elena V. Kazantseva, Andrei I. Maimistov. 2007-07-07. Wide defect in a Resonantly Absorbing Bragg Grating as a nonlinear microresonator for polaritons. https://arxiv.org/abs/0707.1114

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Dark solitons in the fractional NLS equation

In the present work we consider the subject of dark fractional solitary waves in the realm of generalized (fractional) forms of the nonlinear Schrödinger (NLS) equation. While earlier studies have examined such states in the realm of real field theories, we showcase the existence and stability of individual dark solitary waves in such NLS settings and subsequently turn to two-soliton solutions. We find different branches of such two-soliton solution equilibria and contrary to the real field-theoretic setting all possible branches of two-soliton equilibria are found to be potentially unstable, although with different types of instabilities. Odd branches are potentially subject to oscillatory instabilities, while even branches are always exponentially unstable. The dynamics that results from the instabilities is also examined and is found to potentially feature breathing characteristics. This prompts us to seek and find associated periodic (breathing) orbits that are also unprecedented in this context, to the best of our knowledge. The effective particle-like dynamics of the solitary waves also prompts us to seek ordinary differential equation (ODE) descriptions to the dark soliton interaction dynamics. These are shown to hold promise toward providing us with effective reduced order models, indicating some potential directions for further investigation.

nlin.PS↗

arXiv2026

Asymptotic breathers in the Manakov system

We construct vector (two-component) asymptotic Akhmediev breathers in the Manakov system, matching generalized modulational-instability (gMI) eigenmodes to decaying tails of the breather states. The branch-resolved matching provides analytical results linking the gMI-perturbation envelopes to the positions of the emerging breathers. Numerical simulations of the system with the focusing and defocusing nonlinearities corroborate the analytical predictions for each MI branch. We further develop the asymptotic theory for two-breather solutions generated by two independent gMI modes, linking their temporal separation to the input envelopes and interaction-induced shifts. Further numerical simulations reveal that breather patterns exhibit robustness in the presence of weak nonintegrable perturbations. These findings establish a framework relating experimentally controllable input modulations to the branch-selective formation and positioning of breathers in multicomponent nonlinear systems.

nlin.PS↗

arXiv2026

Minimum nonlinearity for pattern-forming Turing instability in a mathematical autocatalytic model

Pattern formation is ubiquitous in nature and the mechanism widely-accepted to underlay them is based on the Turing instability, predicted by Alan Turing decades ago. This is a non-trivial mechanism that involves nonlinear interaction terms between the different species involved and transport mechanisms. We present here a mathematical analysis aiming to explore the mathematical constraints that a reaction-diffusion dynamical model should comply in order to exhibit a Turing instability. The main conclusion limits the existence of this instability to nonlinearity degrees larger or equal to three.

nlin.PS↗