Investigación

Optically pumped generation of multi–pulse three–wave coupled states in a two–mode waveguide with a square–law nonlinearity and digital modulation of light

A.S. Shcherbakovª and A. Aguirre Lopez^b

ª National Institute for Astrophysics, Optics & Electronics, Apartado Postal 51 y 216, Puebla, 72000, México, Phone: 52 (222) 266 3100, ext. 2205; Fax: 52 (222) 247 2940, e–mail: alex@inaoep.mx

^b Mixteca University of Technology, Huajuapan de León, Oaxaca, 69000, México, Phone: 52 (953) 532 0399, ext. 500; Fax: 52 (953) 532 0214, e–mail: aaguirre@mixteco.utm.mx

Recibido el 2 de octubre de 2007
Aceptado el 11 de septiembre de 2008

Abstract

We study the process of sculpturing three–wave weakly coupled states under the action of the pulsed optical pump in a two–mode square–law nonlinear waveguide within the collinear regime of propagating the interacting waves. The analytical model for this process with slightly mismatched wave numbers predicts the sculpturing of multi–pulse optical components inherent in three–wave coupled states. Reasoning from the developed approach, we discuss an opportunity for the digital modulation of light, because those potentially three–wave coupled states under consideration can be binary encoded. The performed analysis of sculpturing multi–pulse coupled states in a non–stationary regime was experimentally examined during our studies of collinear acousto–optical interaction in a two–mode lithium niobate waveguiding structure exhibiting a square–law nonlinearity.

Keywords: Three–wave collinear interaction; optical pump; multi–pulse three–wave coupled states; square–law nonlinearity.

Resumen

Se estudió el proceso para obtener tres estados débilmente ligados por bombeo óptico pulsado en una guía de ondas no lineal de variación cuadrática doble dentro del régimen colineal de propagación de ondas interactuantes. El modelo analítico para este proceso con números de onda en ligera discordancia predice este fenómeno. En base a lo anterior se discute la modulación digital de la luz debida a que, potencialmente, los tres estados acoplados bajo estudio pueden ser codifícaos en forma binaria. Se realizó el análisis experimental del fenómeno anterior a través del estudio de la interacción acustóptica colineal en una guía de ondas de niobato del litio y se observó un comportamiento cuadrático.

Descriptores: Interacción coolineal de tres ondas; bombeo óptico; estados acoplados de tres ondas; ley cuadrática.

PACS: 32.80.Xx;

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Acknowledgments

This work was financially supported by the CONACyT, México; projects # U 61237–F and # J 50537–F.

References

1. N.N. Alhmediev and A. Ankiewicz, Solitons, Nonlinear Pulses and Beams (Chapman & Hall, London, 1997).        [ Links ]

2. A.S. Shcherbakov, A Three–Wave Interaction, Stationary Coupled States (Saint–Petersburg Technical University, St. Petersburg, 1998).        [ Links ]

3. Yu.S. Kivshar and G.P. Agrawal, Optical Solitons: from Fibers to Photonic Crystals (Academic Press, New–York, 2003).        [ Links ]

4. A.P. Sukhorukov, Nonlinear Wave Interactions in Optics and Radiophysics (Nauka, Moscow, 1988).        [ Links ]

5. R.K. Dodd, J.C. Eilbeck, J.D. Gibbon, and H.C. Morris, Solitons and Nonlinear Wave Equations (Academic Press, Orlando, 1984).        [ Links ]

6. A.S. Shcherbakov and A. Aguirre Lopez, Optics Express 10 (2002) 1398.        [ Links ]

7. A.S. Shcherbakov and A. Aguirre Lopez, Optics Express 11 (2003) 1643.        [ Links ]

8. H.A. Haus, Waves and Fields in Opto–Electronics (Prentice Hall, Upper Saddle River NJ, 1984).        [ Links ]

9. Yu.I. Sirotin and M.P Shaskolskaya, Fundamentals of Crystal Physics (Mir Publishers, Moscow, 1982).        [ Links ]

10. F. Yu, Introduction to Information Optics (Academic Press, San Diego, 2001).        [ Links ]

11. V.G. Dmitriev, G.G. Gurzadyan, and D.N. Wikogosyan, Handbook of nonlinear optical crystals, 3–rd Ed. (Springer–Verlag., New–York, 1999).        [ Links ]

12. V.I. Balakshij, V.N. Parygin, and L.E. Chirkov, Physical Principles of Acousto–Optics (Radio i Svyaz, Moscow, 1985).        [ Links ]