Solitary wave solution to the nonlinear evolution equation in cascaded quadratic media beyond the slowly varying envelope approximations

• Autorzy: Sarma A K , Biswas A.

Identyfikatory

DOI

10.5277/oa140203

• Języki publikacji: EN

Abstrakty

EN

We report an exact bright and dark soliton solution to the nonlinear evolution equation derived by MOSES and WISE (Phys. Rev. Lett. 97, 2006, 073903) for cascaded quadratic media beyond the slowly varying envelope approximations. The integrability aspects of the model are addressed. The travelling wave hypothesis as well as the ansatz method are employed to obtain an exact 1-soliton solution. Both bright and dark soliton solutions are obtained. The corresponding constraint conditions are obtained in order for the soliton solutions to exist.

Słowa kluczowe

EN

solitons; integrability; exact solution; cascaded quadratic media

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2014
• Tom: Vol. 44, nr 2
• Strony: 205--212
• Opis fizyczny: Bibliogr. 26 poz., rys., wykr.

Twórcy

autor

Sarma A K

• Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India

autor

Biswas A.

• Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
• Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia

Bibliografia

• [1] GOULIELMAKIS E., UIBERACKER M., KIENBERGER R., BALTUSKA A., YAKOVLEV V., SCRINZI A., WESTERWALBESLOH TH., KLEINEBERG U., HEINZMANN U., DRESCHER M., KRAUSZ F., Direct measurement of light waves, Science 305(5688), 2004, pp. 1267–1269.
• [2] BRABEC T., KRAUSZ F., Intense few-cycle laser fields: Frontiers of nonlinear optics, Reviews of Modern Physics 72(2), 2000, pp. 545–592.
• [3] WEGENER M., Extreme Nonlinear Optics, Springer-Verlag, Berlin, 2005.
• [4] BRABEC T., Strong Field Laser Physics, Springer, Berlin, 2008.
• [5] KUMAR P., SARMA A.K., Optical force on two-level atoms by few-cycle-pulse Gaussian laser fields beyond the rotating-wave approximation, Physical Review A 84(4), 2011, article 043402.
• [6] KUMAR P., SARMA A.K., Gaussian and sinc-shaped few-cycle-pulse-driven ultrafast coherent population transfer in Λ-like atomic systems, Physical Review A 85(4), 2012, article 043417.
• [7] KUMAR P., SARMA A.K., Optical dipole force on ladderlike three-level atomic systems induced by few-cycle-pulse laser fields, Physical Review A 86(5), 2012, article 053414.
• [8] PAUL P.M., TOMA E.S., BREGER P., MULLOT G., AUGÉ F., BALCOU PH., MULLER H.G., AGOSTINI P., Observation of a train of attosecond pulses from high harmonic generation, Science 292(5522), 2001, pp. 1689–1692.
• [9] CHANG J., Fundamentals of Attosecond Optics, CRC, Boca Raton, 2011.
• [10] KRAUSZ F., IVANOV M., Attosecond physics, Reviews of Modern Physics 81(1), 2009, pp. 163–234.
• [11] BRABEC T., KRAUSZ F., Nonlinear optical pulse propagation in the single-cycle regime, Physical Review Letters 78(17), 1997, pp. 3282–3285.
• [12] GAETA A.L., Catastrophic collapse of ultrashort pulses, Physical Review Letters 84(16), 2000, pp. 3582–3585.
• [13] LEBLOND H., MIHALACHE D., Few-optical-cycle solitons: modified Korteweg–de Vries sine-Gordon equation versus other non–slowly-varying-envelope-approximation models, Physical Review A 79(6), 2009, article 063835.
• [14] MARANGONI M., SANNA G., BRIDA D., CONFORTI M., CIRMI G., MANZONI C., BARONIO F., BASSI P., DE ANGELIS C., CERULLO G., Observation of spectral drift in engineered quadratic nonlinear media, Applied Physics Letters 93(2), 2008, article 021107.
• [15] BACHE M., BANG O., ZHOU B.B., MOSES J., WISE F.W., Optical Cherenkov radiation in ultrafast cascaded second-harmonic generation, Physical Review A 82(6), 2010, article 063806.
• [16] CONFORTI M., BARONIO F., DE ANGELIS C., Nonlinear envelope equation for broadband optical pulses in quadratic media, Physical Review A 81(5), 2010, article 053841.
• [17] BACHE M., BANG O., MOSES J., WISE F.W., Nonlocal explanation of stationary and nonstationary regimes in cascaded soliton pulse compression, Optics Letters 32(17), 2007, pp. 2490–2492.
• [18] MOSES J., WISE F.W., Controllable self-steepening of ultrashort pulses in quadratic nonlinear media, Physical Review Letters 97(7), 2006, article 073903.
• [19] SARMA A.K., KUMAR P., Modulation instability of ultrashort pulses in quadratic nonlinear media beyond the slowly varying envelope approximation, Applied Physics B 106(2), 2012, pp. 289–293.
• [20] WEI-PING ZHONG, BELIĆ M., Traveling wave and soliton solutions of coupled nonlinear Schrödinger equations with harmonic potential and variable coefficients, Physical Review E 82(4), 2010, article 047601.
• [21] RUIYU HAO, LU LI, ZHONGHAO LI, GUOSHENG ZHOU, Exact multisoliton solutions of the higher-order nonlinear Schrödinger equation with variable coefficients, Physical Review E 70(6), 2004, article 066603.
• [22] PETROVIĆ N.Z., BELIĆ M., WEI-PING ZHONG, Spatiotemporal wave and soliton solutions to the generalized (3+1)-dimensional Gross–Pitaevskii equation, Physical Review E 81(1), 2010, article 016610.
• [23] SAHA M., SARMA A.K., BISWAS A., Dark optical solitons in power law media with time-dependent coefficients, Physics Letters A 373(48), 2009, pp. 4438–4441.
• [24] BELIĆ M., PETROVIĆ N., WEI-PING ZHONG, RUI-HUA XIE, GOONG CHEN, Analytical light bullet solutions to the generalized (3+1)-dimensional nonlinear Schrödinger equation, Physical Review Letters 101(12), 2008, article 123904.
• [25] CISNEROS-AKE L.A., MINZONI A.A., Effect of hydrogen bond anharmonicity on supersonic discrete Davydov soliton propagation, Physical Review E 85(2), 2012, article 021925.
• [26] AGRAWAL G.P., Nonlinear Fiber Optics, 4th Ed., Academic Press, San Diego, 2007.