Raman solitons in nanoscale optical waveguides, with metamaterials, having polynomial law non-linearity

References

• Shalaev, V.M. Nat. Photonics 2007, 1, 41–48.
   Web of Science ®Google Scholar
• Bhrawy, A.H.; Alshaery, A.A.; Hilal, E.M.; Milovic, D.; Moraru, L.; Savescu, M.; Biswas, A. “Optical Solitons with Polynomial and Triple Power Law Nonlinearities and Spatio-temporal Dispersion”. Proc. Ro. Acad., Ser. A 2014, 15, 235–240.
   Web of Science ®Google Scholar
• Biswas, A.; Milovic, D. “Traveling Wave Solutions of the Nonlinear Schrödinger’s Equation in Non-Kerr Law Media”. Commun. Nonlinear Sci. Numer. Simul. 2009, 14, 1993–1998.
   Web of Science ®Google Scholar
• Biswas, A.; Mirzazadeh, M.; Eslami, M.; Milovic, D.; Belic, M. “Solitons in Optical Metamaterials by Functional Variable Method and First Integral Approach”. Frequenz 2014, 68, 525–530.
   Web of Science ®Google Scholar
• Biswas, A.; Khan, K.; Mahmood, M.F.; Belic, M. “Bright and Dark Solitons in Optical Metamaterials”. Optik 2014, 125, 3299–3302.
   Web of Science ®Google Scholar
• Biswas, A.; Mirzazadeh, M.; Savescu, M.; Milovic, D.; Khan, K.R.; Mahmood, M.F.; Belic, M. “Singular Solitons in Optical Metamaterials by Ansatz Method and Simplest Equation Approach”. J. Mod. Opt. 2014, 61, 1550–1555.
   Web of Science ®Google Scholar
• Boardman, A.D.; Rapoport, Y.G.; King, N.; Malnev, V. “Creating Stable Gain in Active Metamaterials”. J. Opt. Soc. Am. B. 2007, 24, 419–430.
   Web of Science ®Google Scholar
• Boardman, A.D.; Egan, P. “Novel Nonlinear Surface and Guided TE Waves in Asymmetric LHM Waveguides”. J. Opt. A 2009, 11, 114032-1–114032-10.
   Web of Science ®Google Scholar
• Boardman, A.D.; Mitchell-Thomas, R.C.; King, N.; Rapoport, Y.G. “Bright Spatial Solitons in Metamaterials”. Opt. Commun. 2010, 283, 1585–1597.
   Web of Science ®Google Scholar
• Boardman, A.D.; Hess, O.; Mitchell-Thomas, R.C.; Rapoport, Y.G.; Velasco, L. “Temporal Solitons in Magnetooptic and Metamaterial Waveguides”. Photonics Nanostruct. Fundam. Appl. 2010, 8, 228–243.
   Web of Science ®Google Scholar
• Boardman, A.D.; Griamalsky, V.V.; Kivshar, Y.S.; Koshevaya, S.V.; Lapine, M.; Litchinitser, N.M.; Malnev, N.V.; Noginov, M.; Rapoport, Y.G.; Shalaev, V.M. “Active and Tunable Metamaterials”. Laser Photonics Rev. 2011, 5, 287–307.
   Web of Science ®Google Scholar
• Bogaerts, W.; Baets, R.; Dumon, P.; Wiaux, V.; Beckx, S.; Taillaerty, D.; Luyssaert, B.; Van Campenhout, J.; Bienstman, P.; Van Thourhout, D. “Nanophotonic Waveguides in Solicom-on-insulator Fabrication with CMOS Technology”. J. Lightwave Technol. 2005, 23, 401–412.
   Web of Science ®Google Scholar
• Cardenas, J.; Potras, C.B.; Robinson, J.T.; Preston, K.; Chen, L.; Lipson, M. “Low Loss Etchless Silicon Photonic Waveguides”. Opt. Express. 2009, 17, 4752–4757.
   PubMed Web of Science ®Google Scholar
• Duque, C.; Portas-Montenegro, N.; Cavalcanti, S.; Oliveria, L. “Photonic Band Structure Evolution of a Honeycomb Lattice in Presence of External Magnetic Fields”. J. Appl. Phys. 2009, 105, 105–109.
   Web of Science ®Google Scholar
• Ebadi, G.; Mojaver, A.; Vega-Guzman, J.; Khan, K.R.; Mahmood, M.F.; Moraru, L.; Biswas, A.; Belic, M. “Solitons in Optical Metamaterials by F- Expansion Scheme”. Optoelectron. Adv. Mater. Rapid Commun. 2014, 8, 828–832.
   Web of Science ®Google Scholar
• Gauthier, R.; Mnaymneh, K.; Newman, S.; Medri, K.; Raum, C. “Hexagonal Array Photonic Crystal with Photonic Quasi-crystal Defect Inclusion”. Opt. Mater. 2008, 31, 51–57.
   Web of Science ®Google Scholar
• Istrate, E.; Sargent, E.H. “Photonic Crystal Heterostructures and Interfaces”. Rev. Mod. Phys. 2006, 78, 455.
   Web of Science ®Google Scholar
• Joannopoulos, J.D.; Johnson, S.G.; Meade, R.D.; Winn, J.N. Photonic Crystals: Molding the Flow of Light, 2nd ed.; Princeton University Press: Princeton, NJ, 2008.
   Google Scholar
• Khan, K.; Mnaymneh, K.; Awad, H.; Hasan, I.; Hall, T. “Optical Waves in Photonic Crystal Metamaterials”. J. App. Phys. 2014, 117, 629–634.
   Web of Science ®Google Scholar
• Khan, K.; Mnaymneh, K.; Awad, H.; Hasan, I.; Hall, T. “Slow Light Propagation in Tunable Nanoscale Photonic Crystal Cavity Filled with Nematic Liquid Crystals”. Opt. Eng. 2015, 53, 102705-1–102705-7.
   Web of Science ®Google Scholar
• Khan, K.; Mahmood, M.F.; Biswas, A.; Belic, M. “Nonlinear Pulse Propagation in Optical Metamaterials”. J. Comput. Theor. Nanosci. 2015, 12 (11), 4837–4841.
   Google Scholar
• Krishnan, E.V.; Al Gabshi, M.; Zhou, Q.; Khan, K.R.; Mahmood, M.F.; Xu, Y.; Biswas, A.; Belic, M. “Solitons in Optical Metamaterials by Mapping Method”. J. Optoelectron. Adv. Mater. 2015, 17, 511–516.
   Web of Science ®Google Scholar
• Pendry, J.B. “Negative Refraction Makes a Perfect Lens”. Phys. Rev. Lett. 2000, 85, 3966–3969.
   PubMed Web of Science ®Google Scholar
• Saha, M.; Sarma, A.K. “Modulational Instability in Nonlinear Metamaterials Induced by Cubic-quintic Nonlinearities and Higher Order Dispersive Effects”. Opt. Commun. 2013, 291, 321–325.
   Web of Science ®Google Scholar
• Shalaev, V.M. “Optical Negative-index Metamaterials”. Nat. Photonics 2007, 1, 41–48.
   Web of Science ®Google Scholar
• Taillaert, D.; Chong, H.; Borel, P.; Frandsen, L.; de La Rue, R.M.; baets, R. “A Compact Two-dimensional Grating Couple used as a Polarization Splitter”. IEEE Photonic Technol. Lett. 2003, 15, 1249-1251.
   Web of Science ®Google Scholar
• Veselago, V.G. “Electrodynamics of Media with Simultaneous Negative Electric Permittivity and Magnetic Permeability”. Sov. Phys. Uspehki 1967, 10, 509–514.
   Web of Science ®Google Scholar
• Veljkovic, M.; Xu, Y.; Milovic, D.; Mahmood, M.F.; Biswas, A.; Belic, M.R. “Super-Gaussian Solitons in Optical Metamaterials using Collective Variables”. J. Comput. Theor. Nanosci. 2015, 24 (4). 1550042. doi:10.1142/S0218863515500423
   Google Scholar
• Wen, S.; Xiang, Y.; Su, W.; Hu, Y.; Fu, X.; Fan, D. “Role of Anomalous Self-steepening Efect in Modulation Instability in Negative-index Material”. Opt. Express 2006, 14, 1568–1575.
   PubMed Web of Science ®Google Scholar
• Wen, S.; Wang, W.; Su, W.; Xiang, Y.; Fu, X.; Fan, D. “Modulation Instability in Nonlinear Negative-index Material”. Phys. Rev. E 2006, 73, 036617.
   Web of Science ®Google Scholar
• Xiang, Y.; Dai, X.; Wen, S.; Guo, J.; Fan, D. “Controllable Raman Soliton Self-frequency Shift in Nonlinear Metamaterials”. Phys. Rev. A 2011, 84, 033815.
   Web of Science ®Google Scholar
• Xu, Y.; Jovanoski, Z.; Bouasla, A.; Triki, H.; Moraru, L.; Biswas, A. “Optical Solitons in Multi-dimensions with Spatio-temporal Dispersion and Non- Kerr Law Nonlinearity”. J. Nonlinear Opt. Phys. Mater. 2013, 22, 1350035-1–1350035-30.
   Web of Science ®Google Scholar
• Xu, Y.; Zhou, Q.; Bhrawy, A.; Khan, K.R.; Mahmood, M.F.; Biswas, A.; Belic, M. “Bright Solitons in Optical Metamaterials by Traveling Wave Hypothesis”. Optoelectron. Adv. Mater. Rapid Commun. 2015, 9, 384–387.
   Web of Science ®Google Scholar
• Xu, Y.; Savescu, M.; Khan, K.R.; Mahmood, M.F.; Biswas, A.; Belic, M. “Soliton Propagation through Nanoscale Waveguides in Optical Metamaterials”. Opt. Laser Technol. 2016, 77, 177–186.
   Web of Science ®Google Scholar
• Younis, M.; Rizvi, S.T.R. “Optical Solitons for Ultrashort Pulses in Nano Fibers”. J. Nanoelectron. Optoelectron. 2015, 10, 179–182.
   Web of Science ®Google Scholar
• Zheng, Y.; Fu, Y.; Chen, X.; Lu, W.T.; Agren, H. “Surface Polaritons in Two-dimensional Left-handed Photonic Crystals”. Adv, Optoelectron. 2007, E 73, 066625.
   Google Scholar
• Zhou, Q.; Yao, D.; Chen, F. “Analytical Study of Optical Solitons in Media with Kerr and Parabolic Law Nonlinearities”. J. Mod. Opt. 2013, 60, 1652–1657.
   Web of Science ®Google Scholar
• Zhou, Q.; Yao, D.; Chen, F.; Li, W. “Optical Solitons in Gas-filled, Hollow-core Photonic Crystal Fibers with Inter-modal Dispersion and Self-steepening”. J. Mod. Opt. 2013, 60, 854–859.
   Web of Science ®Google Scholar
• Zhou, Q. “Analytical Solutions and Modulational Instability Analysis to the Perturbed Nonlinear Schrödinger Equation”. J. Mod. Opt. 2014, 61, 500–503.
   Web of Science ®Google Scholar
• Zhou, Q. “Analytic Study on Solitons in the Nonlinear Fibers with Time-modulated Parabolic Law Nonlinearity and Raman Effect”. Optik 2014, 125, 3142–3144.
   Web of Science ®Google Scholar
• Zhou, Q.; Zhu, Q.; Liu, Y.; Biswas, A.; Bhrawy, A.H.; Khan, K.R.; Mahmood, M.F.; Belic, M.R. “Solitons in Optical Metamaterials with Parabolic Law Nonlinearity and Spatio-temporal Dispersion”. J. Optoelectron. Adv. Mater. 2014, 16, 1221–1225.
   Web of Science ®Google Scholar
• Raman, C.V. “A New Radiation”. Indian J. Phys. 1928, 2, 287–287.
   Google Scholar