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Necessary conditions for the propagation of two modes, LP01 and LP11, in a step-index optical fiber with a Kerr nonlinearity
V.A. Burdin 1, A.V. Bourdine 1, O.Yu. Gubareva 1

1 Povolzhskiy State University of Telecommunication and Informatics,
443090, Samara, Russia, Moskovskoye Shosse 77

 PDF, 979 kB

DOI: 10.18287/2412-6179-CO-699

Pages: 533-539.

Full text of article: English language.

Abstract:
This paper presents the results of an analysis of the necessary propagation conditions in a step-index optical fiber with a Kerr nonlinearity of two modes, LP01 and LP11, during the transmission of high-power optical pulses. All results were obtained by solving a system of two nonlinear equations for these modes, obtained by the Gauss approximation method, and the subsequent use of a procedure for refining estimates using the mixed finite elements method. The necessary conditions are determined, estimates of the boundaries for the range of normalised frequencies for which they are fulfilled are obtained, and an approximate formula is proposed for estimating the upper limit of this range.

Keywords:
optical fiber, refractive index profile, step-index optical fiber, equivalent mode spot radius, Kerr nonlinearity, propagation constant, Gauss approximation, system of nonlinear equations.

Citation:
Burdin VA, Bourdine AV, Gubareva OYu. Necessary conditions for the propagation of two modes, LP01 and LP11, in a step-index optical fiber with a Kerr nonlinearity. Computer Optics 2020; 44(4): 533-539. DOI: 10.18287/2412-6179-CO-699.

Acknowledgements:
This work was supported by RFBR, DST, NSFC and NRF (Project No. 19-57-80006 BRICS_t).

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