Stochastic optical solitons in nonlinear media type kerr

M. Torres-Cisneros; Yuriy Shmaliy; L. A. Aguilera-Cortés; E. Alvarado-Méndez; J. A. Andrade-Lucio; R. Rojas-Laguna; J. Estudillo-Ayala; J. González-Barbosa; J. G. Aviña-Cervantes; G. Cerda-Villicaña; R. Castro-Sánchez; O. G. Ibarra-Manzano

doi:10.1109/CAOL.2005.1553849

Stochastic optical solitons in nonlinear media type kerr

M. Torres-Cisneros, Yuriy Shmaliy, L. A. Aguilera-Cortés, E. Alvarado-Méndez, J. A. Andrade-Lucio, R. Rojas-Laguna, J. Estudillo-Ayala, J. González-Barbosa, J. G. Aviña-Cervantes, G. Cerda-Villicaña, R. Castro-Sánchez, O. G. Ibarra-Manzano

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this work we present a deduction of the one dimensional stochastic non-linear Schrödinger equation(SNLSE). We have assumed that the material where the optical beam is propagated has a Kerr type nonlinearity. We have deducted the SNLSE from the Maxwell equations by adding in the complex electric field, random noise with Gaussian distribution. We analyzed the modified NLSE and we compared it against the deterministic NLSE.

Original language	English
Title of host publication	Proceedings of CAOL 2005
Subtitle of host publication	2nd International Conference on Advanced Optoelectronics and Lasers
Pages	168-170
Number of pages	3
DOIs	https://doi.org/10.1109/CAOL.2005.1553849
State	Published - 2005
Externally published	Yes
Event	Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers - Crimea, Ukraine Duration: 12 Sep 2005 → 17 Sep 2005

Publication series

Name	Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers
Volume	1

Conference

Conference	Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers
Country/Territory	Ukraine
City	Crimea
Period	12/09/05 → 17/09/05

Keywords

Kerr media
Nonlinear optics
Solitons
Stochastic

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10.1109/CAOL.2005.1553849

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Torres-Cisneros, M., Shmaliy, Y., Aguilera-Cortés, L. A., Alvarado-Méndez, E., Andrade-Lucio, J. A., Rojas-Laguna, R., Estudillo-Ayala, J., González-Barbosa, J., Aviña-Cervantes, J. G., Cerda-Villicaña, G., Castro-Sánchez, R., & Ibarra-Manzano, O. G. (2005). Stochastic optical solitons in nonlinear media type kerr. In Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers (pp. 168-170). Article 1553849 (Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers; Vol. 1). https://doi.org/10.1109/CAOL.2005.1553849

@inproceedings{5f4b50bb58034e599bc4642a14c98981,

title = "Stochastic optical solitons in nonlinear media type kerr",

abstract = "In this work we present a deduction of the one dimensional stochastic non-linear Schr{\"o}dinger equation(SNLSE). We have assumed that the material where the optical beam is propagated has a Kerr type nonlinearity. We have deducted the SNLSE from the Maxwell equations by adding in the complex electric field, random noise with Gaussian distribution. We analyzed the modified NLSE and we compared it against the deterministic NLSE.",

keywords = "Kerr media, Nonlinear optics, Solitons, Stochastic",

author = "M. Torres-Cisneros and Yuriy Shmaliy and Aguilera-Cort{\'e}s, {L. A.} and E. Alvarado-M{\'e}ndez and Andrade-Lucio, {J. A.} and R. Rojas-Laguna and J. Estudillo-Ayala and J. Gonz{\'a}lez-Barbosa and Avi{\~n}a-Cervantes, {J. G.} and G. Cerda-Villica{\~n}a and R. Castro-S{\'a}nchez and Ibarra-Manzano, {O. G.}",

year = "2005",

doi = "10.1109/CAOL.2005.1553849",

language = "Ingl{\'e}s",

isbn = "0780391306",

series = "Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers",

pages = "168--170",

booktitle = "Proceedings of CAOL 2005",

note = "Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers ; Conference date: 12-09-2005 Through 17-09-2005",

}

Torres-Cisneros, M, Shmaliy, Y, Aguilera-Cortés, LA, Alvarado-Méndez, E, Andrade-Lucio, JA, Rojas-Laguna, R, Estudillo-Ayala, J, González-Barbosa, J, Aviña-Cervantes, JG, Cerda-Villicaña, G, Castro-Sánchez, R & Ibarra-Manzano, OG 2005, Stochastic optical solitons in nonlinear media type kerr. in Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers., 1553849, Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers, vol. 1, pp. 168-170, Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers, Crimea, Ukraine, 12/09/05. https://doi.org/10.1109/CAOL.2005.1553849

Stochastic optical solitons in nonlinear media type kerr. / Torres-Cisneros, M.; Shmaliy, Yuriy; Aguilera-Cortés, L. A. et al.
Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers. 2005. p. 168-170 1553849 (Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Stochastic optical solitons in nonlinear media type kerr

AU - Torres-Cisneros, M.

AU - Shmaliy, Yuriy

AU - Aguilera-Cortés, L. A.

AU - Alvarado-Méndez, E.

AU - Andrade-Lucio, J. A.

AU - Rojas-Laguna, R.

AU - Estudillo-Ayala, J.

AU - González-Barbosa, J.

AU - Aviña-Cervantes, J. G.

AU - Cerda-Villicaña, G.

AU - Castro-Sánchez, R.

AU - Ibarra-Manzano, O. G.

PY - 2005

Y1 - 2005

N2 - In this work we present a deduction of the one dimensional stochastic non-linear Schrödinger equation(SNLSE). We have assumed that the material where the optical beam is propagated has a Kerr type nonlinearity. We have deducted the SNLSE from the Maxwell equations by adding in the complex electric field, random noise with Gaussian distribution. We analyzed the modified NLSE and we compared it against the deterministic NLSE.

AB - In this work we present a deduction of the one dimensional stochastic non-linear Schrödinger equation(SNLSE). We have assumed that the material where the optical beam is propagated has a Kerr type nonlinearity. We have deducted the SNLSE from the Maxwell equations by adding in the complex electric field, random noise with Gaussian distribution. We analyzed the modified NLSE and we compared it against the deterministic NLSE.

KW - Kerr media

KW - Nonlinear optics

KW - Solitons

KW - Stochastic

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U2 - 10.1109/CAOL.2005.1553849

DO - 10.1109/CAOL.2005.1553849

M3 - Contribución a la conferencia

AN - SCOPUS:33845508607

SN - 0780391306

SN - 9780780391307

T3 - Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers

SP - 168

EP - 170

BT - Proceedings of CAOL 2005

T2 - Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers

Y2 - 12 September 2005 through 17 September 2005

ER -

Torres-Cisneros M, Shmaliy Y, Aguilera-Cortés LA, Alvarado-Méndez E, Andrade-Lucio JA, Rojas-Laguna R et al. Stochastic optical solitons in nonlinear media type kerr. In Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers. 2005. p. 168-170. 1553849. (Proceedings of CAOL 2005: 2nd International Conference on Advanced Optoelectronics and Lasers). doi: 10.1109/CAOL.2005.1553849

Stochastic optical solitons in nonlinear media type kerr

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