Abstract
The main objective of this paper is to solve an inverse eigenvalue problem that consists (for a given frequency) in seeking for a suitable graded-index optical fiber able to carry electromagnetic fields having known propagation constants. This is an ill-posed problem. We present an original iterative method, based on Tikhonov regularization in order to demonstrate the existence of a unique solution (the true refractive index or at least a better approximation of it). Otherwise, we compute the optimal regularization parameter thanks to L-curve method. Numerical results from various test cases show that the regularized (unique reconstructed) solution, which corresponds simultaneously to the corner of the L-curve and minimum of relative error (and even together with the minimum of absolute error at this corner), is in good agreement with the true solution.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
