A Study on the Contribution of a Buffer Coated with a Perfect Conductor to Constructing Eigenmodes in Square HAPCF
Journal of Electrical and Electronic Engineering
Volume 7, Issue 1, February 2019, Pages: 36-41
Received: Jan. 21, 2019;
Accepted: Mar. 2, 2019;
Published: Mar. 20, 2019
Views 587 Downloads 142
Yeong Min Kim, Electronic Physics, Kyonggi University, Gyeonggi-do, Republic of Korea
The finite element method (FEM) was carried out to investigate the eigenmodes of square hole-assisted photonic crystal fiber (HAPCF). The Krylov-Schur iteration method was applied to solve the large matrix eigen equation that resulted from FEM. HAPCF is conventional optical fiber with air holes added on the interface between the core and cladding. HAPCF is divided into two classes. One has a buffer coated with a perfect conductor and the other was constructed with the same buffer of the dielectric as the cladding. As a result, transverse magnetic (TM) and transverse electric (TE) spectra were described schematically with the transverse vector fields, the longitudinal scalar fields and their projected contour lines on the cross section of the fiber. The mode types could be determined mainly with the contour lines of the longitudinal scalar field on the cross section of HAPCF. It was found that the buffer coated with the perfect conductor has a great influence on the forming characteristics of the eigenmodes. From the spectra, it was identified that the TM transverse vector fields were almost perfectly constrained in the core area, but the transverse vector fields of TE modes were distributed over to the buffer layer. So, it was understood that more reliable analysis is possible when describing eigenmodes with these three kinds of spectra.
Yeong Min Kim,
A Study on the Contribution of a Buffer Coated with a Perfect Conductor to Constructing Eigenmodes in Square HAPCF, Journal of Electrical and Electronic Engineering.
Vol. 7, No. 1,
2019, pp. 36-41.
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Russel Philip St. John, “Photonic Crystal Fibers,” Science, Vol 299, No. 5605 pp 358-362, 2003.
Jan Sporik, Miloslave Filka, Vladimir Tejkal, Pavel Reichert, “Principle of photonic crystal fibers,” Elektroevue, Vol. 2, No. 2, June 2011.
JC Knight, TA Birks, P. St. J. Russell, Dale Atkin “All-silica single-mode optical fiber with photonic crystal cladding: Errata,” Optics Letters 22(7), 484-7, May 1997.
X. Yu, P. Shum, M. Yan, J. Love “Numerical investigations of interstitial hole-assistant microstructured optical fiber,” Journal of Optical Electronics and Advanced Materials Vol. 8, No. 1, pp. 372-375, Feb. 2006.
Yeong Min Kim “A study on the eigenmodes of a square PCF depending on wave numbers,” IEIE Transactions on Smart Processing & Computing Vol. 6, No. 5, 365-371, Oct. 2017.
Yeong Min Kim, Se Jung Oh “A study on the Eigenmodes Constructed in the HAPCF,” HSST, Vol. 8, No. 11, pp. 223-233, Nov. 2018.
C. J. Reddy, Manohar D. Deshpande, C. R. Cockrell, and Fred B. Beck, “Finite Element Method for Eigenvalue Problems in Electromagnetics,” NASA Technical Paper 3485, Dec. 1994.
Peter P. Silvester and Ronald L. Ferrari, “Finite elements for Electrical Engineers 3rd ed.,” Cambridge University Press, App. 2, pp. 459-463, 1996.
G. W. Stewart, “A Krylov Schur Algorithm for Large Eigenproblems” SIAM J. Matrix Anal. & Appl. Vol. 23, No. 3, pp. 601-614, 2002.
Yeong Min Kim “A Study on the Eigen Modes of PCF Varying the Position of the Dielectric Holes by FEM,” Global Journal of Engineering Science and Researches, Vol. 3, No. 7, pp. 130-135, July 2016.
V. Hernandez, J. E. Roman, A. Tomas, V. Vidal, “Arnoldi Methods in SLEPc,” SLEPc Technical Report STR-4 Available at http://www.grycap.upv.es/slepc
David S. Watkins, “The QR Algorithm Revisited,” SIAM Review, Vol. 50, No. 1, pp. 133–145, Feb. 2008.
Maysum Panju “Iterative Methods for Computing Eigenvalues and Eigenvectors” University of Waterloo, http://mathreview.uwaterloo.ca
Rahul Kumar Meena, Himanshu Joshi, Ramesh Bharti, Khushbu Sharma “Design of Hybrid Photonic Crystal Fiber for Low Confinement Loss and Dispersion Shifted Fiber,” International Journal of Engineering and Applied Sciences (IJEAS), Volume-2, Issue-7, July 2015.