Steady ultrashort bright optical pulses, which are originating in single-mode erbium-doped fibers operating within a nonlinear transmission, are analytically investigated. This type of steady-state bright optical pulses can be grown in real time scale due to incoherent resculpturing of external optical pulses by the doped fiber in the traveling-wave regime of propagation. The performed analysis is related to the regimes without and with the gain saturation in a doped fiber and demonstrates that single-mode optical fibers can form and support steady-state bright pulses with various shapes of their envelopes in these regimes. Basically, these bright optical pulses have a smooth hyperbolic-secant shape, however in particular cases, both a two-side exponential and a two-side hyperbolic shapes can be also supported by the erbium-doped fibers within a nonlinear transmission.
Steady ultrashort bit pulses, originating in single-mode erbium-doped fiber amplifiers, are analytically investigated.
This type of steady bit carriers can be grown in real time scale due to resculpturing external optical pulses incoherently
by fiber amplifier in the traveling-wave regime. The analysis performed is related to the regimes without and with the
gain saturation in a doped fiber and demonstrates that single-mode fiber amplifiers can form and support in these
regimes steady bit pulses in the form of bright solitons. For both the regimes, the amplitude and frequency distributions
are estimated, and the impact of the gain saturation is revealed.
The steady states for ultrashort dissipative optical solitons, appearing in single-mode erbium-doped fiber amplifiers are theoretically examined. Such solitons can be shaped due to resculpturing external optical pulses by fiber amplifier in the traveling-wave regime. We consider rather simplified model related to the most desirable practically fundamental solitons and, in so doing, develop extremely extended analytical approach based on exploiting the consistency equation. The analysis performed includes the already-known data for the model selected, generalizes them, and demonstrates that erbium doped fiber amplifiers can support both dark and bright dissipative optical solitons as well as the shock waves, whose amplitude and frequency profiles are exactly described.
The results of studying the steady states for bright and dark dissipative optical solitons, appearing in a single-mode semiconductor laser waveguide being periodically domained in a direction of passing the waves, are presented. These types of solitons occur due to reshaping the incoming optical pulses via the passive mode-locking process in traveling-wave regime. The relations between the pulse parameters and the waveguides' properties are chosen in such a way that the mode-locking process is incoherent in behavior that leads to the phase decay of the incoming pulses. The analysis demonstrates that bright and dark (with the shocked derivative in the shape of envelope) dissipative optical solitons can be supported by such waveguide with a quasi-linear gain and a fast-relaxing saturable absorption.
Ultrashort dissipative optical solitons, originating in single-mode erbium-doped fiber amplifiers are analytically investigated. This type of optical solitons can be grown due to resculpturing external optical pulses by fiber amplifier in the traveling-wave regime. We consider the well-known classical model related to the most desirable practically fundamental solitons and, in so doing, develop extremely extended analytical approach including the application of the consistency equation. The consideration performed is related to the regimes without and with the gain saturation in a doped fiber and demonstrates that these fiber amplifiers can form and support in this regime various dissipative optical solitons in the form of dark and bright solitons as well as the shock waves. For all the regimes, the amplitude and frequency distributions are estimated.
The results of studying quasi-stationary optical pulses in single-mode semiconductor laser waveguides, being periodically domained in a direction of passing the waves, are presented. Steady states of the issuing optical pulses occur due to reshaping the incoming optical pulses via the passive mode-locking process in traveling-wave regime. The relations between the pulse parameters and the waveguides' properties are chosen in such a way that the mode-locking process is incoherent in behavior that leads to the phase decay of the incoming pulses. The analysis demonstrates that both the sequences of pulses and bright or dark optical solitons can be supported by such waveguide structures with a quasi-linear gain and a fast-relaxing saturable absorption. Reaching the steady state in pulse parameters is described in terms of the diffusive instability.
Some aspects of manifesting the nonlinear optical transmission in erbium doped single-mode fibers are considered from the viewpoint of creating all-optical fiber amplifiers. Then, we study analytically originating the steady states for bright ultrashort optical pulses. This type of optical solitons can be grown due to resculpturing external optical pulses by erbium doped fiber in the traveling-wave regime. The model related to the most desirable practically fundamental solitons is taken and, in so doing, we examine the regimes without gain saturation in doped fibers and demonstrate that these fibers can support well localized optical pulses representing the bright dissipative optical solitons.
The results of studying the steady states for bright and dark dissipative optical solitons, appearing in single-mode semiconductor laser structure multilayered in a direction of passing the waves, are presented. These types of solitons occur due to reshaping the incoming optical pulses via the passive mode-locking process in traveling-wave regime. The relations between the pulse parameters and the structures’ properties are chosen in such a way that the mode-locking process is incoherent in behavior that leads to the phase decay of the incoming pulses. The analysis demonstrates that both bright asymmetrical and dark (or flashing) dissipative optical solitons can be supported by such structure with a weakly illocal slowly saturable gain and a fast-relaxing saturable absorption.
The study of steady states for ultrashort dissipative optical solitons, appearing in single-mode erbium-doped fiber amplifiers is developed. Such solitons are shaped due to resculpturing same external optical pulses because of the passive mode-locking process in traveling-wave regime. At the stage in our hand, we consider rather simplified model related to the most desirable practically fundamental solitons and, in so doing, develop extremely extended analytical approach. The analysis performed includes the already-known data for the model selected, generalizes them, and demonstrates that fiber amplifiers can support various sequences of optical pulses on a background as well as both dark and bright dissipative optical solitons, whose amplitude and frequency profiles in time are exactly described. Possible application lies in implementing an all-optical regeneration of ultrashort optical bit pulses in fiber links.
The results of studying the steady states for bright picosecond dissipative optical solitons, appearing in single-mode semiconductor laser waveguides structured in a direction of passing those pulses, is presented. This type of solitons occurs due to reshaping the incoming optical pulses via the passive mode-locking process in traveling-wave regime. The relations between the pulse parameters and the waveguide's properties are chosen in such a way that the mode-locking process is incoherent in behavior that leads to the phase decay of the incoming pulses. The analysis performed demonstrates that bright optical solitons can be supported by the waveguides with slowly saturable gain and fast relaxing saturable absorption.
Nonlinear optical wave packets with the second Painleve transcendent shape of envelope are revealed in Kerr media, manifesting weakly focusing cubic nonlinearity, square-law dispersion, and linear losses. When the state of nonlinear optical transmission is realized, two possible types of boundary conditions turn out to be satisfied for these wave packets. The propagation of initially unchirped optical wave packets under consideration could be supported by lossless medium in both normal and anomalous dispersion regimes. At the same time initially chirped optical waves with the second Painleve transcendent shape in low-loss medium and need matching the magnitude of optical losses by the dispersion and nonlinear properties of that medium.
The study of steady states for picosecond dissipative optical solitons, appearing in single-mode semiconductor laser structures multilayered in a direction of passing those pulses, is developed. Such solitons are shaped due to resculpturing some external optical pulses because of the passive mode-locking process in traveling-wave regime. The relations between the pulse parameters and structure properties are chosen in such a way that the process is incoherent in behavior and provides the phase decay of incoming pulses. The analysis performed demonstrates that both dark and bright optical solitons can be supported by the structures with a quasi-linear gain and a fast relaxing saturable absorption.
An attempt is made to use the phenomenon of colinear acousto-optical interaction in birefringent single crystals for purposes of a coherent optical processing of UHF radio-wave electronic pulses in anti-radar system. The exact and closed analytical model for describing this phenomenon in uniaxial crystalline materials is developed if both the acoustic attenuation and spreading the acoustic beam are allowed for. The peculiarities of collinear acousto-optical interaction in a cells made of lithium niobate single crystal are considered for traveling continuous-wave regime as well as for an acoustic cavity under action of relatively short acoustic pulse. The feasibility of applying such an effect to perform processing radio-wave electronic pulses is analyzed in the paper presented and the corresponding opto-electronic algorithm is elaborated. The results of preliminary experiment with the key component for similar active anti-radar system are presented.
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