Solution for the twomode propagation of LP01 and LP11 modes in a step-index optical fiber with the Kerr nonlinearity taking into account

Author(s):  
Vladimir A. Burdin ◽  
Anton V. Bourdine
2020 ◽  
Vol 44 (4) ◽  
pp. 533-539
Author(s):  
V.A. Burdin ◽  
A.V. Bourdine ◽  
O.Yu. Gubareva

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.


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