Accurate radial basis function based neural network approach for analysis of photonic crystal fibers

In this paper, a new and an accurate artificial neural network approach (ANN) is presented for the analysis and design of photonic crystal fibers (PCFs). The new ANN approach is based on the radial basis functions which offer a very quick convergence and high efficiency during the ANN learning. The accuracy of the suggested approach is demonstrated via the excellent agreement between the results obtained using the presented approach and the results of the full vectorial finite difference method (FVFDM). In addition, a new design of highly birefringence PCF with low losses for the two polarized modes is presented using the proposed approach.

[1]  Jonathan Knight,et al.  Large mode area photonic crystal fibre , 1998 .

[2]  T. F. Morse,et al.  General solutions for stress-induced polarization in optical fibers , 1991 .

[3]  F Benabid,et al.  Hollow-core photonic bandgap fibre: new light guidance for new science and technology , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[4]  P. Russell.  Photonic Crystal Fibers , 2003, Science.

[5]  Julian D. C. Jones,et al.  Experimental measurement of group velocity dispersion in photonic crystal fibre , 1999 .

[6]  Masataka Nakazawa,et al.  Highly efficient Raman amplification in a polarization‐preserving optical fiber , 1985 .

[7]  P. Russell,et al.  Endlessly single-mode photonic crystal fiber. , 1997, Optics letters.

[8]  Michael Georgiopoulos,et al.  Applications of Neural Networks in Electromagnetics , 2001 .

[9]  H. Unger,et al.  Analysis of vectorial mode fields in optical waveguides by a new finite difference method , 1994 .

[10]  V. K. Sood,et al.  HVDC and FACTS Controllers: Applications of Static Converters in Power Systems , 2004 .

[11]  G.E. Town,et al.  Splice losses in holey optical fibers , 2001, IEEE Photonics Technology Letters.

[12]  R McPhedran,et al.  Calculations of air-guided modes in photonic crystal fibers using the multipole method. , 2001, Optics express.

[13]  G. Agrawal.  Fiber‐Optic Communication Systems , 2021 .

[14]  D. Marcuse,et al.  Influence of curvature on the losses of doubly clad fibers. , 1982, Applied optics.

[15]  J. Broeng,et al.  Highly birefringent index-guiding photonic crystal fibers , 2001, IEEE Photonics Technology Letters.

[16]  Jonathan Knight,et al.  Large mode area photonic crystal fiber , 1998 .

[17]  B. M. A. Rahman,et al.  Full vectorial finite-element-based imaginary distance beam propagation solution of complex modes in optical waveguides , 2002 .

[18]  Kunimasa Saitoh,et al.  Empirical relations for simple design of photonic crystal fibers. , 2005, Optics express.

[19]  Ross C. McPhedran,et al.  Differential multipole method for microstructured optical fibers , 2004 .

[20]  Chin-Ping Yu,et al.  Applications of the finite difference mode solution method to photonic crystal structures , 2004 .

[21]  Michael J. Steel,et al.  Polarization and dispersive properties of elliptical-hole photonic crystal fibers , 2001 .

[22]  T. Murphy,et al.  Vector Finite Difference Modesolver for Anisotropic Dielectric Waveguides , 2008, Journal of Lightwave Technology.

[23]  D. Marcuse,et al.  Radiating leaky-mode losses in single-mode lightguides with depressed-index claddings , 1982 .

[24]  Polarization-dependent confinement losses in actual holey fibers , 2003, IEEE Photonics Technology Letters.

[25]  A. Bjarklev,et al.  Photonic Crystal Fibers: A New Class of Optical Waveguides , 1999 .

[26]  Guiyun Kai,et al.  Highly Birefringent Elliptical-Hole Photonic Crystal Fiber With Two Big Circular Air Holes Adjacent to the Core , 2006, IEEE Photonics Technology Letters.

[27]  Guiyun Kai,et al.  Highly birefringent elliptical-hole photonic crystal fiber with squeezed hexagonal lattice. , 2007, Optics letters.

[28]  S. Kawanishi,et al.  Optical properties of a low-loss polarization-maintaining photonic crystal fiber. , 2001, Optics express.

[29]  B. M. A. Rahman,et al.  Accurate finite element modal solution of photonic crystal fibres , 2005 .