Abstract
We elaborate the theory of reflection of an optical signal beam from an inhomogeneous channel created by a high-power laser beam of different frequency in a nonlinear defocusing medium. We study the effects of total internal reflection and nonlinear diffraction in the interaction of these beams. We derive and analyze the equation for the trajectory of the reflected signal beam and obtain the expression for the critical value of beam-intersection angle below which the total internal reflection occurs. We discuss the results of numerical modeling of nonlinear Schr¨odinger equations for envelopes of the beams in media with quadratic, photorefractive, and thermal nonlinearities. We present experimental data on the interaction of beams of argon and helium–neon lasers in a cuvette with tinted alcohol.
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References
M. Born and E. Wolf, Principles of Optics, 4th ed., Pergamon Press, Oxford, New York, Pergamon Press (1970).
L. V. Tarasov and A. N. Tarasova, Discussions on the Refraction of Light [in Russian], 2nd ed., LKI Publishers, Moscow (2008).
L. M. Brekhovskikh, Waves in Layered Media Academic Press, New York (1980).
M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, The Theory of Waves [in Russian], 2nd ed., Nauka, Moscow (1990).
Yu. S. Kivshar and G. P. Agraval, Optical Solitons: From Fibers to Photonic Crystals, Academic Press, San Diego (2003).
V. E. Lobanov and A. P. Sukhorukov, Izv. Akad. Nauk, Ser. Fiz., 69, 1775 (2005).
A. P. Sukhorukov, V. E. Lobanov, and S. V. Ermakova, Proc. SPIE, 6181, 61810S (2006).
V. E. Lobanov, A. K. Sukhorukova, and A. P. Sukhorukov, Kvant. ´ Elektron., 38, 951 (2008).
I. V. Kabakova and A. P. Sukhorukov, Izv. Akad. Nauk, Ser. Fiz., 70, 1752 (2006).
I. V. Kabakova and A. P. Sukhorukov, Izv. Akad. Nauk, Ser. Fiz., 72, 8 (2008).
A. A. Kalinovich, V. E. Lobanov, and A. P. Sukhorukov, Izv. Akad. Nauk, Ser. Fiz., 72, 12 (2008).
V. E. Lobanov, A. A. Kalinovich, A. P. Sukhorukov, et al., Laser Phys., 19, 1112 (2009).
E. Kamke, Reference Book on Differential Equations in First-Order Partial Derivatives [Russian translation from German], Nauka, Moscow, (1966) [E. Kamke, Differentialgleichungen: Losungsmethoden und Losungen. II. Partielle Differentialgleichungen Erster Ordnung fur eine gesuchte Funktion, Akad. Verlagsgesellschaft Geest & Portig, Leipzig (1965)].
J. W. Fleischer, T. Carmon, M. Segev, et al., Phys. Rev. Lett., 90, 023902 (2003).
S. A. Akhmanov, A. P. Sukhorukov, and R. V. Khokhlov, Usp. Fiz. Nauk, 93, 19 (1967) [Sov. Phys. Usp., 10, 609 (1968)].
E. G. Khamis, A. Gammal, G. A. El, et al., Phys. Rev. A, 78, 013829 (2008).
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Sukhorukov, A.P., Lobanov, V.E. & Kalinovich, A.A. Nonlinear diffraction and total internal reflection in optical-beam interaction in defocusing media. J Russ Laser Res 31, 1–11 (2010). https://doi.org/10.1007/s10946-010-9119-5
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DOI: https://doi.org/10.1007/s10946-010-9119-5