2002/07/01 by K. Saitoh, Kunimasa Saitoh, M. Koshiba · 538 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Advanced Fiber Optic Sensors #Beam (structure) #Beam propagation method #Boundary value problem #Cladding (metalworking) #Curvilinear coordinates #Finite element method #Finite-difference time-domain method #Materials science #Mathematics #Optics #Perfectly matched layer #Photonic Crystal and Fiber Optics #Photonic crystal #Physics #Propagation constant #Refractive index #Spurious relationship #Wave propagation #Wavelength
paper · doi:10.1109/jqe.2002.1017609
published in IEEE Journal of Quantum Electronics 38(7), 927-933 (IEEE Photonics Society)
openalex publication_date 2002/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25
A full-vectorial imaginary-distance beam propagation method based on a finite element scheme is newly formulated and is effectively applied to investigating the problem of leakage due to a finite number of arrays of air holes in photonic-crystal holey fibers (HFs). In order to treat arbitrarily shaped air holes and to avoid spurious solutions, a curvilinear edge/nodal hybrid element is introduced. Furthermore, in order to evaluate propagation characteristics of not only bound modes but leaky modes in HFs, an anisotropic perfectly matched layer is also employed as a boundary condition at computational window edges. It is confirmed from numerical results that the propagation loss increases rapidly with increasing wavelength, especially for HFs with one ring of smaller air holes, and that the propagation loss is drastically reduced by adding one more ring of air holes to the cladding region.