Thresholds for Light Confinement : Theoretical Insights into Self-Trapping of the Entire Spatial Laser Beam in the Nonlinear Medium
Keywords:
Nonlinear optics, Nonlinear Schrödinger equation, self-trapping, solitons.Abstract
A theoretical study for forming self-trapping solitons in the nonlinear medium using the entire transverse spatial characteristics of the intense beam is analysed. Using the nonlinear Schrödinger equation (NLSE) as the basic equation, conditions for self-action like self-trapping for different types of expressions nonlinearity in various nonlinear mediums are derived using the nonparaxial approach in other media. The results obtained for self-guided beam formation are compared with well-known paraxial theory, providing insights for applications in optical communication and photonic devices.
References
- Agrawal, G. P. (2006). Nonlinear Fiber Optics (4th ed.). Academic Press.
- Zakharov, V. E., & Shabat, A. B. (1972). Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media. Soviet Physics JETP, 34(1), 62-69.
- Hasegawa, A., & Tappert, F. (1973). Transmission of stationary nonlinear optical pulses in dispersive dielectric fibres. I. Anomalous dispersion. Applied Physics Letters, 23(3), 142-144.
- LD Landau and EM Lifshits Electrodynamics in Continuous Media (Oxford: Pergamon) (1960)
- C Joshi and P Carkum Phys. Today 48 36 (1995)
- D Subbarao, R. Uma and H Singh Phys. Plasma 5 3440 (1998)
- MS Sodha and D Subbarao in Contemporary Plasma Physics (eds) MS Sodha, DP Tiwari and D Subbarao (New Delhi: Macmillan) 249 (1984)
- RK Khanna and A K Nagar Indian J. Phys. 75B 1 (2001)
- SA Akhmanov, A P Sukhrukov and KV Khokhlov in Laser Hand Book (eds.) A T Arechi and ED Suhullz Dubois (Amsterdam: North Holland) Vol. 12 1151 (1972)
- SN Vlasov, V A Petrischev and VI Talanov Sov. Radiophysics. Quant. Electron 14 1062 (1971)
- Sodha, A K Ghatak and V K Tripathi Self Focusing of Laser Beams in Dielectrics Plasmas and Semiconductors (New Delhi: Tata McGraw-Hill) (1974)
- Max, C. E. (1976). Phys. Fluids, 19, 74.
- Brandi, H. S., Manus, C. and Mainfray, G. (1993) Piya, Fluids, B5, 3599.
- Sodha, M. S., Konar, S. and Maheshwari, K. P. (1997). J. Plasma Physics, 48, 107.
- Chiao, R. Y., Garmire, E. and Townes, C. H. (1964). Phys. Review Lett., 13, 479.
- Anderson, D. (1978) Physcis Scripta, 18, 35.
- Khanna, R. K. and Chouhan, R. C. (2001). Indian J. Physics, 75B, 545.
Downloads
Published
Issue
Section
License
Copyright (c) IJSRST

This work is licensed under a Creative Commons Attribution 4.0 International License.