Relevant bibliographies by topics / Bragg grating solitons

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Bragg grating solitons'

Author: Grafiati
Published: 4 June 2021
Last updated: 21 February 2023

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Journal articles on the topic "Bragg grating solitons"

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Eggleton, Benjamin J., R. E. Slusher, C. Martijn de Sterke, Peter A. Krug, and J. E. Sipe. "Bragg Grating Solitons." Physical Review Letters 76, no. 10 (March 4, 1996): 1627–30. http://dx.doi.org/10.1103/physrevlett.76.1627.

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ALATAS, H., A. A. ISKANDAR, M. O. TJIA, and T. P. VALKERING. "DARK, ANTIDARK SOLITON-LIKE SOLUTIONS AND THEIR CONNECTION IN A FINITE DEEP NONLINEAR BRAGG GRATING WITH A MIRROR." Journal of Nonlinear Optical Physics & Materials 13, no. 02 (June 2004): 259–74. http://dx.doi.org/10.1142/s0218863504001827.

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We report the results of our study on the in-gap soliton-like solutions in a system of a uniform finite deep nonlinear Bragg grating with a mirror and continuous light source on the opposite sides of the grating. The system was shown to exhibit a new feature consisting of homoclinic and heteroclinic orbits in phase plane associated with the in-gap bright and dark/antidark solitons respectively. The multi-valued connection between the dark and antidark solitons was explicitly displayed. It was further demonstrated that a transition from dark to antidark soliton could be affected by either changing the mirror position or changing the source intensity.
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Wang, Kuiru, Gong Chen, Binbin Yan, Xinzhu Sang, and Jielin Cheng. "Motion characteristics of Bragg grating solitons in rectangle-apodized fiber Bragg gratings." Optics Communications 284, no. 7 (April 2011): 2012–17. http://dx.doi.org/10.1016/j.optcom.2010.11.070.

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Alatas, H., A. A. Iskandar, M. O. Tjia, and T. P. Valkering. "Analytic Study of Stationary Solitons in Deep Nonlinear Bragg Grating." Journal of Nonlinear Optical Physics & Materials 12, no. 02 (June 2003): 157–73. http://dx.doi.org/10.1142/s0218863503001304.

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A study of nonlinear Bragg grating has been carried out using a modified scheme of approximation originally proposed by Iizuka and de Sterke. A complete classification of the solitonic solutions in the system was given. We further demonstrated in this work the existence of in-gap dark and antidark soliton, in addition to the out-gap solutions reported previously. We also found at the boundaries in the bifurcation diagram, the large-amplitude out-gap antidark soliton and broad in-gap dark soliton.
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Li, XiaoLu, and YueSong Jiang. "Compound solitons in fiber Bragg grating." Science in China Series F: Information Sciences 51, no. 8 (June 25, 2008): 1177–83. http://dx.doi.org/10.1007/s11432-008-0083-4.

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ALATAS, H., A. A. KANDI, A. A. ISKANDAR, and M. O. TJIA. "NEW CLASS OF BRIGHT SPATIAL SOLITONS OBTAINED BY HIROTA'S METHOD FROM GENERALIZED COUPLED MODE EQUATIONS OF NONLINEAR OPTICAL BRAGG GRATING." Journal of Nonlinear Optical Physics & Materials 17, no. 02 (June 2008): 225–33. http://dx.doi.org/10.1142/s021886350800410x.

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We have demonstrated by Hirota's bilinear method the existence of a new class of bright spatial soliton solutions from the same model of nonlinear optical Bragg grating considered previously by another group of researchers. The explicit expressions obtained from these soliton profiles are distinctly different from the previous results and offer a much more flexible choice of physical parameters for device design. It was further shown that the present formulation provides a classification scheme incorporating previous results as special cases of different parameter sets. Finally, due to the diffraction effect, these solitons were shown to exhibit a certain degree of instability in their perturbed profiles as they propagate along the grating.
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Li Hua-Xing and Lin Ji. "The perturbed optoacoustic solitons in Bragg grating." Acta Physica Sinica 60, no. 12 (2011): 124201. http://dx.doi.org/10.7498/aps.60.124201.

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Lee, Ray-Kuang, and Yinchieh Lai. "Quantum theory of fibre Bragg grating solitons." Journal of Optics B: Quantum and Semiclassical Optics 6, no. 8 (July 28, 2004): S638—S644. http://dx.doi.org/10.1088/1464-4266/6/8/003.

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Senthilnathan, K., K. Porsezian, P. R. Babu, and V. Santhanam. "Bright and dark Bragg solitons in a fiber Bragg grating." IEEE Journal of Quantum Electronics 39, no. 11 (November 2003): 1492–97. http://dx.doi.org/10.1109/jqe.2003.818279.

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ASSANTO, GAETANO, CLAUDIO CONTI, MICHELE DE SARIO, and STEFANO TRILLO. "PARAMETRIC OPTICAL SOLITONS IN BRAGG RESONANT MEDIA." Journal of Nonlinear Optical Physics & Materials 09, no. 01 (March 2000): 69–78. http://dx.doi.org/10.1142/s0218863500000078.

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Temporal solitary waves in material systems yielding a quadratic nonlinear response and in the presence of a Bragg grating are theoretically identified and numerically investigated for the specific case of second-harmonic generation. Their peculiar and intriguing features are reviewed and discussed in view of potential applications.
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Dissertations / Theses on the topic "Bragg grating solitons"

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Hajibaratali, Babak. "Dynamics of Bragg Grating Solitons In Coupled Bragg Gratings With Dispersive Reflectivity." Thesis, The University of Sydney, 2014. http://hdl.handle.net/2123/12080.

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We study dynamics of Bragg grating solitons in a system of linearly coupled Bragg gratings with Kerr nonlinearity. The effects of dispersive reflectivity on the behaviour of solitons in the system are investigated by solving the coupled mode equations numerically. Gap solitons, are found to exist throughout the bandgap of the structure. The system supports two types of symmetric and asymmetric solitons that can have any velocities from zero to the speed of light in the medium. At given soliton parameters a critical coupling coefficient is found above which only symmetric solitons exist. Below the critical point however, both types of gap solitons may exist at the same time. Linear forms of coupled mode equations are solved analytically. The results are in excellent agreement with the gap soliton tails. Also, using the linear analysis a condition is found for the solitons to have sidelobes in their tails. Stability of solitons are investigated using systematic simulations. Generally, when dispersive reflectivity is zero, asymmetric solitons are stable for ω≥0. While with increase of dispersive reflectivity the stable region expands into the negative frequencies. Symmetric solitons on the other hand are found to be stable where they exist on their own. Interactions of quiescent gap solitons in the model are studied numerically. The outcomes generally depend on the initial separation (Δx) and phase difference. However, when the dispersive reflectivity is small, Δx-dependence is very weak. Interactions are found to result in a number of outcomes including merger into a single quiescent soliton, destruction, formation of a bound state that eventually breaks up into two separating solitons, formation of two moving and one quiescent solitons, and repulsion. The most interesting outcomes of the collisions of counter-propagating in-phase moving solitons are merger and 2→3 transformation. On the contrary, out-of-phase collisions generally result in the repulsion of the pulses.
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Ahmed, Tanvir. "Bragg Soliton Dynamics in Separated Nonlinearity and Bragg Grating with Dispersive Reflectivity." Thesis, The University of Sydney, 2017. http://hdl.handle.net/2123/17348.

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The dynamics of Bragg solitons are investigated in a linearly coupled dual-core fiber, where one core is uniform and has Kerr nonlinearity while the other core is linear and has a Bragg grating with dispersive reflectivity. The system’s dispersion relation gives rise to three disjoint bandgaps; a central gap surrounded by two other gaps — one is located in the upper half and the other is in the lower half of the spectrum. Soliton solutions are only found in the upper and lower gaps. It is found that in certain parameter ranges, solitons develop sidelobes. Exact analytical expressions have been developed for all values of relative group velocity to analyse the sidelobes in solitons that are in excellent agreement with numerical solutions. The stability of solitons are analysed in the system by means of systematic numerical simulations. Vast stable regions have been found in the upper and lower gaps. The effect and interplay of dispersive reflectivity, group velocity difference, and grating induced coupling on the stability of solitons are investigated. A key finding is that a stronger grating-induced coupling coefficient counteracts stabilisation effect of dispersive reflectivity. Moving soliton stability depends on its velocity. Further, interactions of quiescent solitons and collisions of counterpropagating solitons are investigated using systematic numerical analysis. Different outcomes of the interactions and collisions are summarised for wide parameter ranges. The outcomes of interactions are strongly affected by initial separation distance and initial phase difference. Solitons interaction containing sidelobes reveal special characteristics. In-phase soliton-soliton collisions result in the formation of zero-velocity quiescent solitons in the lower gaps. Generation of zero/slow Bragg solitons can potentially lead to novel optical devices.
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Dasanayaka, Sahan Eranga. "Soliton Dynamics in Uniform and Non-uniform Bragg Gratings with Cubic-Quintic Nonlinearity." Thesis, The University of Sydney, 2013. http://hdl.handle.net/2123/9361.

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Coupled-mode equations (CMEs) with self-focusing Kerr and competing quintic nonlinearities were used to investigate solitons in cubic-quintic nonlinear Bragg gratings. Solitons were found throughout the bandgap, with any velocity between 0 and the speed of light. They exist as two disjoint families, known as Type 1 and Type 2. Type 1 solitons are a generalisation of solitons in Kerr media, while quintic nonlinearity is dominant for Type 2 solitons. In Kerr media, slightly over half of the solitons are known to be stable. By numerical propagation, it was found that quintic nonlinearity can significantly improve stability. But stable regions for both families are generally smaller at higher soliton velocities. Interactions of quiescent solitons and collisions between counterpropagating solitons were also investigated. In-phase Type 2 solitons are destroyed by collisions, but in-phase Type 1 solitons exhibit various outcomes. Of particular interest is the generation of a quiescent soliton, either by merger or by the novel three-soliton formation process. Compared to the merger process, three-soliton formation can occur at higher velocities and is less sensitive to small velocity or phase differences. To model random grating non-uniformity, dispersive reflectivity terms were added to the CMEs. Dispersive reflectivity alters stability and causes some Type 1 solitons to spontaneously split into multiple solitons. For strong dispersive reflectivity, solitons may have sidelobes. This was confirmed for the quiescent case by solving linearised CMEs to obtain a tail approximation. Sidelobes significantly alter soliton behaviour. For example, quiescent soliton interactions depend on initial separation. But the most unexpected behaviour was transformation of moving Type 2 solitons into Type 1 solitons. For example, in-phase Type 2 collisions can generate a temporary Type 1 bound state. Similarly, out-of-phase Type 2 solitons can merge to form a Type 1 quiescent soliton.
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Mak, William Chi Keung Electrical Engineering &amp Telecommunications Faculty of Engineering UNSW. "Coupled Solitary Waves in Optical Waveguides." Awarded by:University of New South Wales. Electrical Engineering and Telecommunications, 1998. http://handle.unsw.edu.au/1959.4/17494.

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Soliton states in three coupled optical waveguide systems were studied: two linearly coupled waveguides with quadratic nonlinearity, two linearly coupled waveguides with cubic nonlinearity and Bragg gratings, and a quadratic nonlinear waveguide with resonant gratings, which enable three-wave interaction. The methods adopted to tackle the problems were both analytical and numerical. The analytical method mainly made use of the variational approximation. Since no exact analytical method is available to find solutions for the waveguide systems under study, the variational approach was proved to be very useful to find accurate approximations. Numerically, the shooting method and the relaxation method were used. The numerical results verified the results obtained analytically. New asymmetric soliton states were discovered for the coupled quadratically nonlinear waveguides, and for the coupled waveguides with both cubic nonlinearity and Bragg gratings. Stability of the soliton states was studied numerically, using the Beam Propagation Method. Asymmetric couplers with quadratic nonlinearity were also studied. The bifurcation diagrams for the asymmetric couplers were those unfolded from the corresponding diagrams of the symmetric couplers. Novel stable two-soliton bound states due to three-wave interaction were discovered for a quadratically nonlinear waveguide equipped with resonant gratings. Since the coupled optical waveguide systems are controlled by a larger number of parameters than in the corresponding single waveguide, the coupled systems can find a much broader field of applications. This study provides useful background information to support these applications.
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Hossain, Md Bellal. "Soliton Dynamics in a Nonlinear Dual-Core System with a Uniform Bragg Grating and a Bragg Grating with Dispersive Reflectivity." Thesis, The University of Sydney, 2021. https://hdl.handle.net/2123/28199.

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The stability and dynamics of solitons are investigated in a dual-core nonlinear system in which a uniform grating is coupled with a non-uniform grating. Quiescent and moving soliton solutions are attained by performing numerical analysis for various system parameters (e.g., dispersive reflectivity, coupling coefficient, detuning frequency and soliton velocity). The existences of quiescent and moving solitons are analysed by investigating their dispersion relation in laboratory and moving frame, respectively. Sidelobes appear in the soliton tails after a moderate dispersive reflectivity value. The effects of and interplay between system parameters on the stability of solitons are also numerically analysed. Additionally, stability diagrams are reported to express the overall stability scenario of solitons. An interesting finding is that the inclusion of dispersive reflectivity causes the stable region to expand into the negative detuning frequencies for both stationary and moving solitons. Next, the interaction dynamics of both in-phase and out-of-phase stationary solitons are investigated. Systematic numerical analysis is performed to investigate the outcomes of interactions between two solitons from the same core and from opposite cores. Numerous interesting outcomes, including the generation of a merger into a stationary or slow-moving soliton, the creation of three solitons, symmetric separation, destruction of solitons, repulsion of solitons and temporary bound state followed by either symmetric or asymmetric separation are observed. Finally, similar to the case of interactions, the outcomes of collision between two moving solitons from the same core and from opposite cores are also investigated for different system parameters.
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Islam, Md Jahedul. "Gap Soliton Dynamics In Coupled Bragg Gratings With Cubic-Quintic Nonlinearity." Thesis, The University of Sydney, 2015. http://hdl.handle.net/2123/13952.

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The dynamics of gap solitons in a system of two linearly coupled Bragg gratings with cubic-quintic nonlinearity are investigated. It is found that the model supports two disjoint families of solitons, known as Type 1 and Type 2 solitons, which fill the entire bandgap. There exist symmetric and asymmetric gap solitons within each family. These gap solitons can have any velocity between zero and the speed of light in the medium. The border separating the soliton families has been identified. The stability of solitons is investigated by means of systematic numerical stability analysis. For moving solitons, the stability region is approximately independent of soliton velocities in the standard coupled Bragg gratings model. However, in the case of cubic-quintic model, the velocities of solitons have a significant effect on the stability regions. Type 1 gap solitons are adequately robust against strong perturbations; credited to quintic nonlinearity. Interactions of co-propagating quiescent gap solitons have been systematically investigated. Generally speaking, attraction is present between in-phase quiescent gap solitons interactions, while repulsion arises when the initial phase difference is at π or π/2. The interactions of in-phase Type 1 asymmetric solitons has been proven to result in a range of outcomes, namely, fusion into a single zero-velocity soliton, asymmetrical separation of solitons, symmetrical separation of solitons, formation of three solitons, and the destruction of solitons. Collisions of counter-propagating moving gap solitons are studied numerically. Collisions of in-phase Type 1 asymmetric moving gap solitons can exhibit a range of outcomes, such as the separation of solitons with identical, reduced, increased, or asymmetric velocities. The generation of a quiescent soliton, either through merger or through 2→3 transformation, is a particularly significant outcome. Compared to the merger, 2→3 transformation is deemed to be more stable.
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Chowdhury, S. A. M. Saddam. "Soliton Dynamics in a Grating-Assisted Semilinear Dual Core System with Dispersive Reflectivity." Thesis, The University of Sydney, 2015. http://hdl.handle.net/2123/13614.

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Bragg grating solitons are investigated in a linearly coupled dual core system, in which one core exhibits Kerr nonlinearity and is equipped with a nonuniform Bragg grating with dispersive reflectivity, while the other core is linear and unperturbed. When relative group velocity in the linear core c is zero, the dispersion relation of the linearized system gives rise to two disjoint gaps in the upper and lower halves of the spectrum. When c ≠ 0, the central gap emerges in the linear spectrum. Soliton solutions do not exist in the central gap but they exist as a continuous family of solutions in the upper and lower gaps. The maximum velocity that solitons can possess in this system is limited by c. An interesting property of the soliton solutions is that the presence of dispersive reflectivity may induce sidelobes in solitons’ profile, however c tends to counteract the formation of sidelobes. The stability of solitons are determined through numerical simulations and vast stable regions are identified both in the upper and lower gaps. The general trend is that when c 0, as the value of coefficient of coupling between the cores increases, the stable region expands and also the stabilization effect of dispersive reflectivity becomes more prominent. However, soliton stability is affected as c and/or soliton velocity δ becomes larger. The interaction (collision) dynamics of stationary (counter-propagating) solitons are investigated by means of systematic numerical simulations and a variety of outcomes are identified. Of particular interest is the fusion of solitons into a quiescent one through in-phase interactions, which is more observed in the lower gap than in its upper counterpart. It is found that in the presence of sidelobes, interactions of solitons strongly depend on their initial separation. Another noteworthy finding is that solitons can merge into single zero velocity (slow moving) solitons as a result of low velocity in-phase (nearly in-phase) collisions.
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Hemingway, John-Paul J. "Numerical investigation of novel structures of nonlinear optical fibre loop mirrors including Bragg gratings." Thesis, Manchester Metropolitan University, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.284903.

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Anam, Nadia. "Dynamics of Bragg Solitons in a Semilinear Dual-Core System with Separated Gratings and Cubic-Quintic Nonlinearity." Thesis, University of Sydney, 2020. https://hdl.handle.net/2123/23967.

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This thesis presents a comprehensive theoretical study of the different characteristics of Bragg solitons in a semilinear dual-core system, where one core consists of cubic-quintic nonlinearity, while the other core is linear and equipped with uniform fibre Bragg gratings. The investigation begins with developing the representative coupled-mode equations, which then leads us to find an analytical solution for the mathematical model when the relative group velocity in the linear core, c, is zero. For non-zero values of c, the solutions must be found by implementing numerical techniques. We consider two conditions: the Bragg solitons possess zero velocity or are ‘quiescent’, and the solitons have motion because of non-zero values of velocity. The linear spectrum of quiescent solitons is considered first to determine the locations where possible solutions might exist. In its simplest form, when c is zero, the linear spectrum contains a central gap and two mutually symmetric upper and lower gaps. The exact solutions obtained under this condition exist through the entire upper and lower bandgaps, while the central gap remains void of any solitons. For c≠0, the upper and lower bandgaps overlap with one branch of the continuous spectrum and hence cannot be deemed any longer as ‘true’ gaps. However, soliton solutions, and particularly stable ones, are still found in the upper sections of both gaps. The central gap continues to possess no solutions under all parametric conditions. The widths between the bandgaps and the width of the bandgaps themselves are influenced by variations of the coupling coefficient in the linear core, λ. However, the widths of the upper and lower bandgaps always remain equal (mutually symmetric). For all values of λ and c, the system supports two disjoint families of solitons, termed ‘Type 1’ and ‘Type 2’, located in distinct regions throughout the upper and lower gaps, separated by a border. This border is plotted in the quintic nonlinearity, q, and detuning frequency, ω, plane and no solitons are found to exist on the exact border itself. In addition, variations in c have negligible effect on the location of the border. The Type 1 and Type 2 solitons are distinguished in terms of their phase and parity. Furthermore, Type 1 solitons are found to have a more rounded peak, while Type 2 solitons have a sharper peak and, at times, a two-tier profile. In the case of moving solitons, we find three bandgaps in the linear spectrum—upper, lower and central, where the central gap is again found to consist of no solitons. However, solutions exist for the upper and lower bandgaps, although, unlike the quiescent solitons, we obtain certain regions within these gaps where no solutions can be found. For any given value of λ, the edges of the bandgaps are strongly influenced by c and the soliton velocity, σ. Also, the widths of both the upper and lower bandgaps are proportional to c, and inversely proportional to σ. However, for a given c, we reach a critical value of σ at which the width between the upper and lower gaps reaches its minimum value and becomes independent of σ. Similar to their quiescent counterparts, moving solitons are also of Type 1 and Type 2, existing in both the upper and lower bandgaps; in contrast, the border that separates these two families of solitons has strong dependency on both c and σ. The profile of the moving solitons is slightly different than those of the quiescent ones, particularly in terms of the individual real and imaginary components and their position in the (q, Ω) plane (Ω is the frequency in the moving frame). The stability of both quiescent and moving solitons is investigated by propagating the pulses over certain time durations and considering the extent of noise in the tail regions of the pulses. Stringent levels of accuracy are considered, and we obtain Type 1 stable solitons in the upper sections of the upper and lower bandgaps using different values of λ, c and σ. The quiescent and moving Type 2 solitons are found to always be unstable. In general, the largest stability regions are obtained with the smallest values of λ and c. However, with the inclusion of σ for moving solitons, this is not always the case, although increasing σ is generally seen to reduce the region of stability. In addition, for both quiescent and moving solitons, the presence of quintic nonlinearity reduces the energy radiation of the propagating pulses, suggesting their suitability for long-haul communication or possessing better reliability in different optical device usage. The interaction dynamics of the solitons are investigated and lead to several outcomes, which are more diverse for the quiescent solitons in comparison with the moving ones. The interaction of two quiescent solitons produces a merger, symmetrically and asymmetrically separating solitons, bound state or soliton destruction, depending on factors such as λ, c, q and the phase difference between the two initial solutions, Δθ. For the moving solitons, interaction mainly causes a phase shift, where the final velocities of the solitons either increase or decrease, depending on the value of Δθ, but do not experience much change to their shape or energy level. The nature of the outcome is that the colliding solitons either pass through or bounce off each other. The separation is symmetric only when Δθ = 0 or π, although the degree of asymmetry for all other phase differences is very low. Any significant asymmetry is observed only when we use solitons with different initial velocities. Studies of soliton interactions are of prime importance, as they help in the realisation that the soliton velocity can be controlled and consequently applied to a variety of applications that require slow light, such as optical delay lines and buffers, or to compensate for velocity mismatches that may occur because of the non-identical nature of Bragg gratings.
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Books on the topic "Bragg grating solitons"

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1959-, Lang S. P., and Bedore Salim H. 1961-, eds. Handbook of solitons: Research, technology, and applications. Hauppauge, NY: Nova Science Publishers, 2009.

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Book chapters on the topic "Bragg grating solitons"

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Atai, J., and B. A. Malomed. "Bragg-Grating Solitons in Dual-Core Semi-Linear Systems." In Nonlinearity and Disorder: Theory and Applications, 307–13. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0542-5_25.

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Broderick, N. G. R. "Gap Solitons Experiments within the Bandgap of a Nonlinear Bragg Grating." In Springer Series in Photonics, 201–19. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05144-3_9.

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Lymar, Valentyn I. "Two-Dimensional Bragg-Ewald’s Dynamical Diffraction and Spontaneous Gratings." In Soliton-driven Photonics, 363–70. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0682-8_43.

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Porsezian, K., and Krishnan Senthilnathan. "Solitons in a Fiber Bragg Grating." In Guided Wave Optical Components and Devices, 251–80. Elsevier, 2006. http://dx.doi.org/10.1016/b978-012088481-0/50018-8.

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Conference papers on the topic "Bragg grating solitons"

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Eggleton, B. J., R. E. Slusher, T. A. Strasser, and C. M. de Sterke. "High intensity pulse propagation in fiber Bragg gratings." In Bragg Gratings, Photosensitivity, and Poling in Glass Fibers and Waveguides. Washington, D.C.: Optica Publishing Group, 1997. http://dx.doi.org/10.1364/bgppf.1997.bmb.1.

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Recently we reported the first systematic experiments describing high intensity pulse propagation in fiber Bragg gratings [1-3]. These experiments demonstrated nonlinear pulse compression, and pulse shaping, and also demonstrated the generation and propagation of grating solitons [1]. which exist because of the balancing of nonlinearity of the glass and the strong dispersion of the grating [4-6]. Possibly the most striking feature of these solitons is that they can travel at velocities between zero and the speed of light in the medium. Indeed initial experimental, which were performed in uniform (unchirped) gratings, indicated that the solitons propagated at about 75% of the speed of light in the uniform medium. In this paper we review the nonlinear optics of fiber gratings and in particular discuss the experimental realization of grating solitons. We also discuss two extensions of this work: launching of slow grating solitons in apodized fiber gratings; and experimental studies of modulational instabilities (MIs) in Bragg gratings. Finally we mention the possibility of soliton engineering, through the design of nonuniform gratings.
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Litchinitser, N. M., B. J. Eggleton, C. M. de Sterke, and G. P. Agrawal. "Interaction of Bragg solitons in fiber gratings: Numerical results." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: Optica Publishing Group, 1998. http://dx.doi.org/10.1364/nlgw.1998.nsnps.p15.

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The interaction between two Bragg solitons in a fiber grating is investigated numerically in both infinite and finite geometries. In certain limits, Bragg solitons interactions exhibit features reminiscent of fiber solitons. More generally, the interaction features are found to depend on the initial soliton separation.
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Slusher, R. E., M. N. Islam, C. E. Soccolich, W. Hobson, S. J. Pearton, K. Tai, J. Sipe, and C. M. de Sterke. "Gap solitons in buried Bragg grating AlGaAs waveguides." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.tubb2.

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A balance of group velocity dispersion and nonlinear phase shift in AlGaAs waveguides with buried Bragg gratings is predicted to result in the propagation of gap solitons. Photonic gaps wide enough in wavelength to linearly reflect all Fourier components of the 0.5-ps input pulse being used in the initial experiments require a large modulation depth for the buried grating. Fabrication techniques include electron cyclotron etching and regrowth using MOCVD. The composition of the waveguide is at Al concentrations 0.2 so that the input pulse wavelength of 1.685 μm corresponds to excitation below half the energy gap. This reduces multiphoton absorption to levels where solitons can propagate without significant attenuation. Theoretical simulations and initial experimental results are described.
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Taverner, D., N. G. R. Broderick, D. J. Richardson, and M. Ibsen. "Nonlinear Self-Switching and Multiple Gap Soliton Formation in a Fibre Bragg Grating." In Bragg Gratings, Photosensitivity, and Poling in Glass Fibers and Waveguides. Washington, D.C.: Optica Publishing Group, 1997. http://dx.doi.org/10.1364/bgppf.1997.bmb.3.

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The interplay of the Kerr-induced nonlinear refractive index changes and dispersion in nonlinear Fiber Bragg Gratings (FBGs) leads to a plethora of nonlinear phenomena, the most striking of which is perhaps the formation and propagation of gap solitons [1]. Whilst a considerable amount of theoretical work has been performed in this area [1,2,3,4] experimental observations of nonlinear grating behaviour are limited, principally by the difficulty in getting sufficiently high power densities within the core of a FBG in a suitable spectral and temporal range. In order to reduce the nonlinear threshold for gap soliton formation one can use the somewhat weaker dispersive properties of FBGs outside of the band gap and indeed recent experiments have yielded the first strong evidence of Bragg grating gap soliton formation by this means [5,6]. However, the strongest and most manifestly nonlinear effects are predicted to occur at wavelengths within the band gap, close to the Bragg wavelength of the grating structure and it is therefore essential to make measurements within this regime. In this paper we report what we believe to be the first clear experimental observation of nonlinearity within the band gap of an FBG, namely nonlinear self-switching and, at higher intensities, multiple gap soliton formation.
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Leners, R., D. Foursa, Ph Emplit, M. Haelterman, and R. Kashyap. "Experimental generation of dark solitons using a novel Bragg grating based shaping technique." In The European Conference on Lasers and Electro-Optics. Washington, D.C.: Optica Publishing Group, 1996. http://dx.doi.org/10.1364/cleo_europe.1996.ctuj4.

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Dark solitons in optical fibres have received increased interest because of their potential advantages over bright solitons with respect to soliton interactions and sensitivity to noise in optical long distance transmission lines. Most recently, 10 Gbit/s pseudorandom dark soliton data have been generated and transmitted over 1200 km [1]. We demonstrate here a novel all-optical technique to generate a multigigahertz dark soliton train by using a high resolution filtering of a conventional mode-locked laser source [2]. The amplitude and phase filtering is performed by a specially designed fibre Bragg grating [3] and converts a 17 ps, 6.1 GHz bright pulse train into a 33 ps dark pulse train with an identical repetition rate. A numerical comparison between the temporal shape of the dark pulse train and its spectrum indicates that both the amplitude and the phase filtering are correctly performed i.e. that the dark pulses exhibit an approximate π phase shift across the dark part of the pulse.
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6

Mak, W. C. K., P. L. Chu, and B. A. Malomed. "Collision of gap solitons in fiber Bragg grating." In Quantum Electronics and Laser Science (QELS). Postconference Digest. IEEE, 2003. http://dx.doi.org/10.1109/qels.2003.237976.

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7

Tan, D. T. H., D. K. T. Ng, J. W. Choi, E. Sahin, Y. Cao, B. U. Sohn, P. Xing, G. F. R. Chen, H. Gao, and X. X. Chia. "Bragg soliton dynamics in ultra-silicon-rich nitride devices." In Nonlinear Optics. Washington, D.C.: Optica Publishing Group, 2021. http://dx.doi.org/10.1364/nlo.2021.ntu2a.1.

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Bragg solitons are solitary waves which form as a result of the nonlinearity in the medium and the dispersion induced by a Bragg grating. We present recent results covering the dynamics of Bragg solitons. Temporal compression, fission and enhanced, coherent supercontinuum generation and tunable spectral broadening are experimentally demonstrated.
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Assanto, Gaetano, Claudio Conti, and Stefano Trillo. "All-optical buffers via localization of two-color quadratic gap solitons." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: Optica Publishing Group, 1998. http://dx.doi.org/10.1364/nlgw.1998.nwb.2.

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Optical gap solitons are a promising approach towards the realization of all-optical buffers and memories in nonlinear waveguides with Bragg resonant gratings [1]. In fact they permit to localize the e.m. energy at zero-velocity in the laboratory frame, in a frequency range where the linear propagation is otherwise forbidden. A recent experiment on slowly-traveling localized states has been reported by Eggleton et al. in an index-modulated fiber through the Kerr effect [2]. However, the trapping of zero velocity solitons within the grating is still an open issue, despite the fact that perfectly steady gap solitons could become the basic elements in all-optical memories. More recently, in the context of parametric quadratic effects, structures with distributed-feedback gratings (DFBG), Bragg-coupled to one or both frequencies in media for Second-Harmonic Generation (SH G), have been shown to support two-color gap solitons, i.e. localized energy states of trapped field components at the fundamental (FF) and its second harmonic (SH), based on the interplay of grating dispersion, parametric gain and cascading phase shifts [3-7]. In this Communication we numerically demonstrate that stationary gap simultons can be excited in a quadratically nonlinear DBFG via inelastic scattering of pulses launched at the FF, and can be detected using a similar ”reading” beam.
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De Sterke, C., Joe Mok, Ian M. Littler, and Benjamin Eggleton. "Slow gap solitons in an optical fibre Bragg grating." In 2006 IEEE LEOS Annual Meeting. IEEE, 2006. http://dx.doi.org/10.1109/leos.2006.279072.

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Anam, Nadia, Tanvir Ahmed, and Javid Atai. "Bragg Grating Solitons in a Dual-core System with Separated Bragg Grating and Cubic-quintic Nonlinearity." In 7th International Conference on Photonics, Optics and Laser Technology. SCITEPRESS - Science and Technology Publications, 2019. http://dx.doi.org/10.5220/0007251300240028.

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