عنوان مقاله [English]
Propagation of electromagnetic waves in the nonlinear homogeneous and nonhomogeneous cylindrical media to generate of third order harmonics is investigated by using numerical solving of the coupled wave equations.
Calculation show, that the characteristic length of the interaction in homogenous media is very shorter than one in inhomogeneous media. The reason for this behavior is that for inhomogeneous media $ Delta k $ is very small and the output wave can get out of phase with its driving polarization at very big length of the interaction ($ r $). Therefore, as $ Delta k $ increases the length of the interaction and the maximum intensity of the generated wave decrease. Numerical calculations show that in homogeneous nonlinear optical media phase matching condition is not satisfied, and the generated wave amplitude is smaller than inhomogeneous nonlinear optical media. The effect of third order nonlinear optical susceptibility on the generated wave amplitude in inhomogeneous media has been investigated.
 Hao Xiong, Liu-Gang Si, Xiaoxue Yang , Ying Wu,Scientific Reports5,(2015) 11071.
 Y. R. Shen,Principles of Nonlinear Optics(Wiley, New York,1984).
 J. Darginavicius, D. Majus, G. Tamo.auskas, , A. Dubietis,Journal ofPhysics, 49, (2009) 171.
 I. Biaggio, P. Kerkoc, L.S. Wu, P. Gunter, B. Zysset, Journal of theOptical Society of America B, 9, (1992) 507.
 Hao Xiong, Liu-Gang Si, Pei Huang, and Xiaoxue Yang,PhysicalReview E82, (2010) 057602.
 A.V. Kudrin, E.Yu. Petrov,Journal of Experimental and TheoreticalPhysics, 110, (2010) 537.
 Hao Xiong, Liu-Gang Si, Chunling Ding, Xiaoxue Yang, and YingWu,Physical Review A 84, (2011) 043841.
 Hao Xiong, Liu-Gang Si, Jun Feng Guo, Xin-You Lu, and XiaoxueYang,Physical Review A 83, (2011) 063845.
 R. Kashyap,Journal of the Optical Society of America B, 6 (1989), 313.
 N. Vukovic,N. Healy, J. R. Sparks, J. V. Badding, P. Horak, A. C.Peacock,Scientific Reports 5, (2015) 11798.
 T. J. Cui, M. Q. Qi, X. Wan, J., Zhao, Q. Cheng,Light: Science andApplications, 3, (2014) 218.