2021/04/27 by Jay Gopalakrishnan, Gopalakrishnan, Jay, Benjamin Quanah Parker +3 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #35J05 65H17 (Primary) 65N25 65N30 #35Q60 78M10 (Secondary) #Advanced Fiber Laser Technologies #Advanced Fiber Optic Sensors #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Optical Coatings and Gratings #Optics (physics.optics)
paper · pdf · doi:10.48550/arxiv.2104.13527
openalex publication_date 2021/04/27 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
An efficient contour integral technique to approximate a cluster of nonlinear\neigenvalues of a polynomial eigenproblem, circumventing certain large\ninversions from a linearization, is presented. It is applied to the nonlinear\neigenproblem that arises from a frequency-dependent perfectly matched layer.\nThis approach is shown to result in an accurate method for computing leaky\nmodes of optical fibers. Extensive computations on an antiresonant fiber with a\ncomplex transverse microstructure are reported. This structure is found to\npresent substantial computational difficulties: Even when employing over one\nmillion degrees of freedom, the fiber model appears to remain in a\npreasymptotic regime where computed confinement loss values are likely to be\noff by orders of magnitude. Other difficulties in computing mode losses,\ntogether with practical techniques to overcome them, are detailed.\n