Localization of the femtosecond pulse train energy in a one-dimensional nonlinear photonic crystal

Parameter Control of Optical Soliton in One‐dimensional Photonic Crystal

“…Using the technique of continuation on parameter we investigate a dependence of soliton location on its maximum intensity, on ratio between light frequency and frequency of structure, on ratio between dielectric permittivity of alternating linear and nonlinear layers and on position between centre of initial distribution of eigenfunction and center of considered photonic structure area. The results of this paper confirm the features of soliton self-formation investigated early in our papers [37,38,39,40,41,42], in which one considered a propagation of femtosecond laser pulse through nonlinear layered structure. …”

“…This choice follows from our previous investigations. So, in [37,38,39,40,41,42] we have investigated a self-formation of soliton, which locates in some layers of nonlinear 1D PC and has intensity profile similar to ch −2 (z). In these papers we have considered the case when the optical radiation falls on PC in a direction that is perpendicular to PC layers.…”

“…Hence, a local band-gap of PC for various frequencies appears. Such effect takes place for the structure with big number of layers (more than 30) in a contrast to the nonlinear localization which takes place even for the PC with several layers [41]. It should be also mentioned that for the observation of the Anderson localization it is necessary that the carrying frequency of an input optical pulse is near the band-gap or stronger PC layers thickness fluctuations take place.…”

“…In our recent papers [37,38,39,40,41,42], we reported about a possibility of nonlinear light energy localization in 1D PC. It takes place due to soliton sub-pulses formation in nonlinear (self-focusing) layers while the laser pulse propagates through the PC.…”

“…Among the various problems of such interaction the light localization and soliton formation are very attractive: there are many papers dealing with these phenomena [1,8,10,15,16,19,20,21,22,23,24,29,32,37,38,39,40,41,42,44,47].…”