Resonant Transmission Line Method for Unconventional Fibers

We provide a very general review of the resonant transmission line method for optical fiber problems. The method has been found to work seamlessly for a variety of difficult problems including elliptical and eccentric core fibers as well as “holey” photonic crystal fibers. This new version has been shown to offer great versatility with respect to cases of unconventional, inhomogeneous index profiles.

[1]  J. Kanellopoulos,et al.  Cutoff Frequencies of Optical Planar/Cylindrical Structures Using the Resonance Technique , 1983 .

[2]  C Yeh,et al.  Computing the propagation characteristics of radially stratified fibers: an efficient method. , 1977, Applied optics.

[3]  D. Mencarelli,et al.  Multimode Transverse Resonance of Multilayer Crystal Slabs , 2006, Journal of Lightwave Technology.

[4]  I. Bialynicki-Birula On the Wave Function of the Photon , 1994 .

[5]  A. Boucouvalas,et al.  Propagation constants of cylindrical dielectric waveguides with arbitrary refractive-index profile using 'resonance' technique , 1982 .

[6]  N. Marcuvitz,et al.  On the Representation of the Electric and Magnetic Fields Produced by Currents and Discontinuities in Wave Guides. I , 1951 .

[7]  A. D. Raptis,et al.  A method for the solution of the Schrödinger equation , 1987 .

[8]  Anthony C. Boucouvalas,et al.  Transmission line and resonance technique in cylindrical fibers of circular asymmetry , 2016, 2016 International Conference on Telecommunications and Multimedia (TEMU).

[9]  R. Gallawa Propagation in nonuniform waveguides with impedance walls , 1964 .

[10]  T. E. Simos,et al.  A method for computing phase shifts for scattering , 1990 .

[11]  E. Georgantzos,et al.  Transmission line resonance technique for eccentric core optical fibers , 2016 .

[12]  A. Boucouvalas,et al.  Computation of Mode Propagation Constants and Cut-off Frequencies of Optical Planar Layers Using the Resonance Technique , 1984 .

[13]  Guided-wave methods for optical configurations , 1981 .

[14]  M. Tsuji,et al.  A New Equivalent Network Approach to Electromagnetic Wave Problems , 1996, Progress In Electromagnetics Research.

[15]  Klaus-Dieter Lang,et al.  Application of the transverse resonance method for efficient extraction of the dispersion relation of arbitrary layers in silicon interposers , 2013, 2013 17th IEEE Workshop on Signal and Power Integrity.

[16]  Jens Bornemann,et al.  Transverse resonance, standing wave, and resonator formulations of the ridge waveguide eigenvalue problem and its application to the design of E-plane finned waveguide filters , 1990 .

[17]  A. Boucouvalas,et al.  Cutoff frequencies in optical fibers of arbitrary refractive index profile using the resonance technique , 1982 .

[18]  T. E. Simos,et al.  An algorithm for the solution of the eigenvalue Schro¨dinger equation , 1990 .

[19]  J. Kanellopoulos,et al.  Equivalent circuits in Fourier space for the study of electromagnetic fields , 1982 .

[20]  A. Bedeloglu,et al.  Optical modeling of fiber organic photovoltaic structures using a transmission line method. , 2017, Applied optics.

[21]  Transverse equivalent networks for slotted inhomogeneous circular waveguides , 1967 .

[22]  A. A. Oliner,et al.  Transverse-network representation for inhomogeneously filled circular waveguide , 1965 .

[23]  R. Dyott,et al.  Elliptical Fiber Waveguides , 1995 .

[24]  J. Tao,et al.  A modified transverse resonance method for the analysis of multilayered, multiconductor quasiplanar structures with finite conductor thickness and mounting grooves , 1992 .