Self-induced Transparency Soliton Research Articles

All-optical shaping of a three-dimensional self-induced transparency soliton in 87Rb vapors

All-optical shaping of a three-dimensional self-induced transparency soliton in ⁸⁷Rb vapors

Self-Induced Transparency Solitons and Dissipative Solitons in Microwave Electronic Systems

Self-Induced Transparency Solitons and Dissipative Solitons in Microwave Electronic Systems

Ultra high-speed all-optical coherent memory cell

We study the interaction of two counterpropagating unipolar video pulses of electromagnetic radiation in a dense resonant two-level medium. The pulse durations are less than one oscillation period of an atomic transition. We show that a polariton cluster (i.e. the compact long-living strongly coupled state of electromagnetic field and matter polarization) is created, when two unipolar pulses collide in a resonant medium of the frequency ω0 (the pulses correspond to self-induced transparency solitons of the same amplitudes and opposite polarities).We have studied for the first time the conditions of maximal excitation of a resonant polarization in the polariton cluster volume. We show that there exist optimal durations and amplitudes of the recording pulses. We studied the processes of double and multiple recording and erasing of an optical memory cell in a thin layer of a resonant medium (quantum dots). We demonstrated that the pulse rate of the recording-erasing pulses can reach 60 000 GHz and higher, which happens under the coherent regime of the interaction between the electromagnetic field and polarization of the medium.

New ultra high-speed all-optical coherent D-trigger

We study the interaction of two counterpropagating unipolar video pulses of electromagnetic radiation in a dense resonant two-level medium. The pulse durations are less than one oscillation period of an atomic transition. We show that a polariton cluster (i.e. the compact long-living strongly coupled state of electromagnetic field and matter polarisation) is created, when two unipolar video pulses collide in a resonant medium of the frequency ωo (the pulses correspond to self-induced transparency solitons of the same amplitudes and opposite polarities).We studied for the first time multiple recording and erasing of a polariton cluster in a thin layer of a resonant medium (quantum dots) placed on the mirror surface. We showed that dynamics of the medium population difference N(x,t) is analogous to the operation of a D-trigger of the pulse rate 60 000 GHz and higher. We found such a method of the polariton cluster recording and erasing that excludes the accumulation of erasing errors. Therefore, the total duration of the optical D-trigger operation time can strongly exceed the phase relaxation time T2.

Self-Induced Transparency in a Black Phosphorus Monolayer

A theory of the optical soliton of self-induced transparency (SIT) in a black phosphorus monolayer (phosphorene) has been developed. Explicit analytical expressions describing the surface soliton in phosphorene and other anisotropic two-dimensional materials are obtained. It is shown that the anisotropic phosphorene conductivity leads to exponential damping of the amplitude of the soliton of the surface wave, which strongly depends on the direction of pulse propagation. The maximum damping of the SIT soliton amplitude takes place in the “armchair” direction of phosphorene.

Самоиндуцированная прозрачность в монослое черного фосфора

AbstractA theory of the optical soliton of self-induced transparency (SIT) in a black phosphorus monolayer (phosphorene) has been developed. Explicit analytical expressions describing the surface soliton in phosphorene and other anisotropic two-dimensional materials are obtained. It is shown that the anisotropic phosphorene conductivity leads to exponential damping of the amplitude of the soliton of the surface wave, which strongly depends on the direction of pulse propagation. The maximum damping of the SIT soliton amplitude takes place in the “armchair” direction of phosphorene.

Vector soliton of self-induced transparency of a generalized love wave

A theory of acoustic self-induced transparency of a two-component vector soliton for a generalized Love wave is constructed. The three-layer system contains a resonance transition layer with paramagnetic impurity atoms or quantum dots. It is shown that, under these conditions, a vector soliton of the generalized Love wave can be formed. It oscillates at the sum and difference frequencies in the vicinity of the carrier wave frequency. Explicit analytical expressions for the parameters of a nonlinear surface acoustic wave are presented. The parameters depend on the elastic properties of the contacting media, the resonance transition layer, and the transverse structure of the wave. Numerical calculations are carried out for the three-layer Al2O3/ZnO/SiO2 system. The significant difference between the two-component vector soliton and singlecomponent soliton is shown.

Self-induced transparency mode locking, and area theorem.

Self-induced transparency mode locking (or coherent mode locking, CML), which is based on intracavity self-induced transparency soliton dynamics, potentially allows achievement of nearly single-cycle intracavity pulse durations, much below the phase relaxation time T2 in a laser which, despite having great promise, has not yet been realized experimentally. We develop a diagram technique which allows us to predict the main features of CML regimes in a generic two-section laser far from the single-cycle limit. We show that CML can arise directly at the first laser threshold if the phase relaxation time is large enough. Furthermore, we discuss the stability of the corresponding mapping. We also predict the existence of "super-CML regimes," with a pulse coupled to several Rabi oscillations in the nonlinear medium.

Self-starting stable coherent mode-locking in a two-section laser

Coherent mode-locking (CML) uses self-induced transparency (SIT) soliton formation to achieve, in contrast to conventional schemes based on absorption saturation, the pulse durations below the limit allowed by the gain line width. Despite the great promise it is difficult to realize it experimentally because a complicated setup is required. In all previous theoretical considerations CML is believed to be non-self-starting. In this paper we show that if the cavity length is selected properly, a very stable (CML) regime can be realized in an elementary two-section ring-cavity geometry, and this regime is self-developing from the non-lasing state. The stability of the pulsed regime is the result of a dynamical stabilization mechanism arising due to finite-cavity-size effects.

Self-induced transparency effect on the two-soliton interaction

We report on the numerical investigation of the interaction between two solitons in a doped nonlinear dispersive medium. The dopant is modeled as a two-level atomic system coherently driven to support simultaneous nonlinear Schrödinger equation and self-induced transparency solitons. We investigate the influence of the self-Induced transparency in the case where the two-solitons are in phase. It is found that the periodical soliton collision effect disappears due to the presence of the atomic system. This new phenomenon is understood considering the detuning parameter on the atomic system description. This result can be exploited in multiple pulse propagation where the soliton interactions play an important role.

A resonant soliton in a waveguide in the presence of a graphene monolayer

A theory of an optical self-induced transparency soliton propagating in a waveguide in the presence of a graphene monolayer is constructed. The perturbation theory based on the inverse scattering problem method is used for obtaining explicit analytical expressions for parameters of the (2π pulse) soliton. It is demonstrated that taking into consideration the effects of conductivity in the graphene monolayer leads to exponential variation of the amplitude (width) of the waveguide-mode soliton during propagation.

Vector pulsing soliton of self-induced transparency in waveguide

A theory of an optical resonance vector pulsing soliton in waveguide is developed. A thin transition layer containing semiconductor quantum dots forms the boundary between the waveguide and one of the connected media. Analytical and numerical solutions for the optical vector pulsing soliton in waveguide are obtained. The vector pulsing soliton in the presence of excitonic and bi-excitonic excitations is compared with the soliton for waveguide TM-modes with parameters that can be used in modern optical experiments. It is shown that these nonlinear waves have significantly different parameters and shapes.

Self-induced transparency in graphene

A theory of optical solitons under the condition of nonlinear coherent interaction of surface TM-modes with a two-dimensional layer of semiconductor quantum dots and a graphene monolayer (or graphene-like two-dimensional material) is developed. Explicit analytical expressions for a surface soliton (2π pulse) of self-induced transparency are obtained. It is shown that the optical conductivity of graphene reduces the amplitude of the surface soliton in the process of propagation.

Ultrashort pulses in an inhomogeneously broadened two-level medium: soliton formation and inelastic collisions

Using numerical simulations, we study propagation of ultrashort light pulses in an inhomogeneously broadened two-level medium. There are two main issues in our study. The first one concerns the transient process of self-induced transparency soliton formation, in particular, the compression of the pulse which seems to be more effective in the case of homogeneous broadening. The second question deals with the collisions of counter-propagating solitons. It is shown that the level of inhomogeneous broadening has a substantial effect on the elasticity of such collisions.

Gap soliton and quasi-linear 2π pulse in continuous resonant photonic crystals

Nonlinear interaction of coherent intensive optical radiation with continuous resonant photonic crystal (RPC) is analytically and numerically studied in the framework of semiclassical approach using the two-wave Maxwell–Bloch equations. The analytical solution being the gap soliton of self-induced transparency is obtained in the case of an initially unexcited continuous RPC. This solution is confirmed numerically. Influence of both initial inversion and resonant atom concentration function profile on the pulse dynamics in continuous RPC is analyzed. Suppression of the Bragg reflection and a “quasi-linear” 2π pulse propagation in the case of zero initial inversion in continuous RPC is shown. The possibility of laser pulse compression using slow spatial changing of resonant atom concentration is demonstrated.

Phase-modulated soliton of self-induced transparency

A theory of optical self-induced transparency for a two-component soliton in the presence of phase modulation is developed. It is shown that, under these conditions, it is possible to generate a vector soliton with characteristic parameters of oscillations with the sum and difference frequencies in the region of the carrier wave frequency. Explicit analytical expressions for nonlinear wave parameters under experimentally implemented conditions are given. In particular case, a well-known solution in the form of a breather is obtained.

Acoustic vector solitons

A theory of an acoustic vector soliton of self-induced transparency is constructed. By using the perturbative reduction method the magnetic Bloch equations and the equation of motion for the displacement field for the small area pulse are reduced to a system of two coupled nonlinear Schrödinger equations. The shape of an acoustic vector soliton with the sum and difference of the frequencies is presented. Explicit analytical expressions for the parameters of an acoustic vector soliton are obtained as well as simulations of an acoustic vector soliton presented with realistic parameters which can be reached in experiments. It is shown that the vector soliton in the special case can be reduced to the breather solution, and these nonlinear waves have different profiles.

Vector solitons in semiconductor quantum dots

A theory of an optical vector soliton of self-induced transparency in an ensemble of semiconductor quantum dots is considered. By using the perturbative reduction method, the system of the Maxwell–Liouville equations is reduced to the two-component coupled nonlinear Schrödinger equations. It is shown that a distribution of transition dipole moments of the quantum dots and phase modulation changes significantly the pulse parameters. The shape of the optical two-component vector soliton with the sum and difference of the frequencies in the region of the carrier frequency is presented. The vector soliton can be reduced to the breather solution of self-induced transparency with a different profile. Explicit analytical expressions in the presence of single-excitonic and biexcitonic transitions for the optical vector soliton are obtained with realistic parameters which can be reached in current experiments.

Controlled absorption and all-optical diode action due to collisions of self-induced-transparency solitons

We study inelastic collisions of counterpropagating self-induced transparency solitons in a homogeneously broadened two-level medium. The energy of the pulse can be almost totally absorbed in the medium due to asymmetric collision with a properly chosen control pulse. The medium state thus prepared demonstrates the property of an all-optical diode which transmits pulses from one direction and blocks from another. The saturation process of a controlled absorption effect, local-field correction influence, and the parameter ranges for the diode action are studied as well.

Dynamic transition from complete population transfer to self-induced transparency

We explore the connection between adiabatic rapid passage, a technique that allows for robust complete population transfer (CPT) in a resonant absorber, and self-induced transparency solitons. We employ the auxiliary differential equation finite-difference time-domain method to fully resolve the dynamics of femtosecond light pulses propagating through an absorbing two-level medium. Using the example of linearly chirped Gaussian pulses we find that the pulses achieving robust CPT for a single two-level system are also pulses that will transform into solitary waves when incident on a resonantly absorbing medium. At the entrance into the absorber strongly chirped, adiabatic pulses completely transfer the electronic population from the ground to the upper state. As the pulses suffer absorption they undergo a dynamic transition and quickly split into an off-resonant radiation part and one or several unchirped solitary pulses that may carry away some of the initially achieved population inversion. This spectral and temporal transformation process limits the spatial depths of the region of CPT in a dense absorber regardless of the initial pulse amplitude. We also show that the frequency-domain pulse area, defined as the spectral amplitude at the resonance frequency, allows for a better distinction between the regimes of $2\ensuremath{\pi}$-pulse and $0\ensuremath{\pi}$-pulse formation than time-domain measurements.