Abstract
Using the hydrodynamic model of semiconductor plasmas, a detailed analytical investigation is made to study both the steady-state and transient Raman gain in a weakly polar narrow band-gap magnetized one-component semiconductor, viz. n-InSb under off-resonant laser irradiation. Using the fact that origin of stimulated Raman scattering (SRS) lies in the third-order (Raman) susceptibility (\(\chi_{R}^{(3)}\)) of the medium, we obtained an expression of the threshold pump electric field (\(E_{th}\)), the resulting gain coefficients (steady-state as well as transient \(g_{R,TR}\)) and optimum pulse duration (\(\tau_{p}\)) for the onset of SRS. The application of a strong magnetic field not only lowers \(E_{th}\) but also enhances \(g_{R,TR}\). The carrier heating by the intense pump modifies the electron collision frequency and hence the nonlinearity of the medium which in turn enhances \(g_{R,TR}\) significantly. The enhanced \(g_{TR}\) can be greatly used in the compression of scattered pulses. The results of the present investigation leads to the better understanding of SRS process in solid and gaseous plasmas and also help considerably in filling the existing gap between theory and experiments.
Similar content being viewed by others
References
Anisimov, S.I., Khokhlov V.A.: Instabilities in Laser Matter Interaction (1995) ISBN: 9780849386602
Beer, A.C.: Galvanometric Effects in Semiconductors: Solid State Physics, Academic Press, New York (1963)
Brueckner, K.A., Jorna, S.: Laser-driven fusion. Rev. Mod. Phys. 46, 325–367 (1974)
Callaway, J.: Quantum Theory of The Solid State, pp. 16–23. Academic Press, New York (1974)
Conwell, E.M.: High Field Transport in Semiconductors, pp. 141–159. Academic Press, New York (1967)
Drake, J.F., et al.: Parametric instabilities of electromagnetic waves in plasmas. Phys. Fluids 17, 778–785 (1974)
Forslund, D.W., et al.: Nonlinear behaviour of stimulated Brillouin and Raman scattering in laser irradiated plasmas. Phys. Rev. Lett. 30, 739–743 (1973)
Ghosh, S., Dixit, S.: Stimulated Raman scattering and Raman instability of an intense helicon wave in longitudinally magnetized n-type piezoelectric semiconducting plasma. Phys. Status Solidi (B) 131, 255–265 (1985)
Gibbs, H.N.: Optical Bistability: Controlling Light with Light. Academic Press, Orlando (1985)
Hanna, D.C., et al.: Nonlinear Optics of Free Atoms and Molecules, pp. 119–123 Springer, Berlin (1979)
Kramer, S.D., et al.: Interference of third-order light mixing and second harmonic exciton generation in CuCl. Phys. Rev. B 9, 1853–1856 (1974)
Kruer, M., et al.: In: Glass, A.J., Guenther, A.H. (eds.) Laser Induced Damage in Optical Materials, pp. 473–476. NBS Special Publication No. 509, Washington (1977)
Lee, C.H.: In: Lee, C.H. (ed.) Picosecond Optoelectronic Devices, pp. 119–188. Academic, New York (1984)
Liu, C.S., et al.: Raman and Brillouin scattering of electromagnetic waves in inhomogeneous plasmas. Phys. Fluids 17, 1211–1219 (1974)
Loree, T.R., et al.: New lines in the UV: SRS of excimer laser wavelengths. IEEE J. Quantum Electron. 15, 337–342 (1979)
Maraghechi, B., Willett, J.E.: Raman backscattering of electromagnetic extraordinary waves in a magnetized inhomogeneous plasma. J. Plasma Phys. 20, 859–865 (1978)
Maraghechi, B., Willett, J.E.: Raman backscattering of circularly polarized electromagnetic waves propagating along a magnetic field. J. Plasma Phys. 21, 163–172 (1979)
Mayer, J.M., et al.: Optical heating in semiconductors. Phys. Rev. B 21, 1559–1568 (1980)
Neogi, A., et al.: Stimulated scattering in magnetooactive semiconductors. Phys. Rev. B 47, 16590–16593 (1993)
Neogi, A., Ghosh, S.: Stimulated Raman scattering in a magnetized centrosymmetric semiconductor. Phys. Rev. B 44, 13074–13077 (1991)
Rothenberg, J.E., et al.: High-resolution extreme ultraviolet spectroscopy of potassium using anti-Stoke’s radiation. Opt. Lett. 6, 363–365 (1981)
Seeger, K.: Semiconductor Physics, pp. 147–183. Springer, Berlin (1989)
Sen, P., Sen, P.K.: Theory of stimulated Raman and Brillouin scattering in noncentrosymmetric crystals. Phys. Rev. B 31, 1034–1040 (1985)
Sen, P., Sen, P.K.: Correlation and competition between stimulated Raman and Brillouin scattering processes. Phys. Rev. B 33, 1427–1435 (1986)
Sen, P.K., et al.: Raman instability in n-type piezoelectric semiconductors. Phys. Rev. B 22, 6340–6346 (1980)
Singh, M., Aghamkar, P.: Coherent Brillouin scattering in non-centrosymmetric semiconductors: bound and free charge carriers contribution. J. Mod. Opt. 55, 1251–1265 (2008)
Sodha, M.S., et al.: Self-Focusing of Laser Beams in Dielectrics, Plasmas and Semiconductors, pp. 55–62. Tata McGraw-Hill, New Delhi (1974)
Sodha, M.S., et al.: Interaction of intense laser beams with plasma waves: stimulated Raman scattering. J. Appl. Phys. 47, 3518–3523 (1976)
Steele, M.C., Vural, B.: Wave interactions in Solid State Plasmas, pp. 105–112. McGraw Hill, New York (1969)
Sutherlands, R.L.: Handbook of Nonlinear Optics. 2nd edn (revised), pp. 958–968. Dekker, New York (2003)
Vonder Linde, D., et al.: Molecular vibrations in liquids: direct measurement of the molecular dephasing time—determination of the shape of picosecond light pulses. Phys. Rev. Lett. 26, 954–957 (1971)
Wang, C.S.: In: Rabin, H., Tang, C.L. (eds.) Quantum Electronics. Vol. 1, Part A, pp. 447–472. Academic, New York (1975)
Wherrett, B.S.: In: Wherrett, B.S., Tooley, F.P.A. (eds.) Optical Computing, pp. 1–21. SUSSP, Edinburg (1989)
Zeldovich, B.Y., et al.: Principles of Phase Conjugation, pp. 25–65. Springer, Berlin (1985)
Acknowledgments
One of the authors (M.S.) acknowledges Prof. P. Aghamkar, Department of Physics, Chaudhary Devi Lal University, Sirsa for useful suggestions to carry out this work.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pal Singh, V., Singh, M. Stimulated Raman scattering in weakly polar narrow band-gap magnetized semiconductors in the presence of hot carriers. Opt Quant Electron 48, 479 (2016). https://doi.org/10.1007/s11082-016-0686-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-016-0686-8