研究目的
To evaluate the first higher order modal field for dual mode optical fibers with step and parabolic index profiles in the presence and absence of Kerr nonlinearity using a simple iterative method based on Chebyshev formalism.
研究成果
The proposed iterative Chebyshev formalism accurately predicts the first higher order modal field for graded-index fibers in the presence of Kerr nonlinearity, with results matching excellently with exact numerical methods. This simple and computationally efficient approach is beneficial for applications in optical communication and sensor technologies using dual-mode fibers, and it can be extended to study other fiber types with nonlinearities.
研究不足
The method is applicable only to weakly guiding circular core fibers and assumes specific index profiles (step and parabolic). The linear approximation for K1(W)/K0(W) is valid only in the interval 0.6 ≤ W ≤ 2.5, which may limit its use for fibers outside this range. The study does not address higher-order nonlinearities or other fiber types.
1：Experimental Design and Method Selection:
The analysis uses an iterative method involving Chebyshev formalism to solve the scalar wave equation for the first higher order modal field in nonlinear optical fibers.
2：Sample Selection and Data Sources:
Step-index and parabolic-index fibers are selected as examples, with specific parameters such as cladding refractive index n2 =
3：47 and numerical aperture a = 22 μm. The nonlinearity parameter nNLP varies from -5e-14 m2 to 5e-14 m2. List of Experimental Equipment and Materials:
No specific equipment or materials are mentioned; the study is computational.
4：Experimental Procedures and Operational Workflow:
The method involves solving a third-order determinant derived from the wave equation using Chebyshev points (R1 =
5：9511, R2 = 5878) and iterative techniques to find convergent values for the cladding decay parameter W and modal field coefficients. Data Analysis Methods:
Results are compared with exact numerical results obtained from finite element methods to validate accuracy.
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