Abstract
We present a series of snakelike self-similar solutions to the nonlinear Schrödinger equation with a gain in the presence of an external source through asymmetric dual-core waveguide amplifiers with a long-period grating. The asymmetric dual-core waveguide is composed of two adjoining, closely spaced, upper and lower waveguides, in which the upper one is an active graded-index waveguide with a long-period grating along the medium, while the lower one is a passive step-index waveguide. The results show that: (1) the self-similar optical structures can be generated and effectively controlled by modulating the amplitude of the source; (2) the long-period grating can change the motion of the solutions and preserve their shapes. These results may raise the possibility of some experiments and potential applications in the graded-index grating waveguide amplifier with an external source.
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Acknowledgements
This work is supported by the National Natural Science Foundation of China under Grant No. 11847103 and the Field Grade Project of HuBei University of Science and Technology under Grant No. 2016-19XB006.
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He, J.R., Xu, S.L. & Xue, L. Snakelike self-similar solutions in a graded-index grating waveguide amplifier with an external source. Indian J Phys 94, 895–906 (2020). https://doi.org/10.1007/s12648-019-01531-6
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DOI: https://doi.org/10.1007/s12648-019-01531-6