Construction of glass waveguide refractive index profiles by the effective-index finite-difference method

被引:10
作者
Gonella, F [1 ]
Quaranta, A [1 ]
Sambo, A [1 ]
Caccavale, F [1 ]
Mansour, I [1 ]
机构
[1] UNIV PADUA, DIPARTIMENTO ELETTRON & INFORMAT, I-35131 PADUA, ITALY
关键词
D O I
10.1016/0925-3467(95)00068-2
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A numerical method is applied to construct the refractive index profiles of optical waveguides from the measured effective indices (EI). The method is based on choosing a proper analytical function for the refractive index profile and searching its unknown parameters using the simplex search algorithm. Simultaneously, the finite-difference method (FDM) is used to solve the semi-vectorial Helmholtz equation for the guided modes effective indices. The method is applied successfully to two particular Ag+-Na+ ion-exchanged glass slab waveguides. The results are as accurate as those obtained from commonly used IWKB-based method. The EI-FDM in principle can be applied to both slab and channel waveguides and does not require that the index profiles are monotonically decreasing, like most of IWKB-based methods. The relation between the induced refractive index and silver concentration profile, measured by SIMS, is found to be almost linear.
引用
收藏
页码:321 / 326
页数:6
相关论文
共 17 条
[1]   SECONDARY-ION-MASS SPECTROMETRY AND NEAR-FIELD STUDIES OF TI-LINBO3 OPTICAL WAVE-GUIDES [J].
CACCAVALE, F ;
CHAKRABORTY, P ;
QUARANTA, A ;
MANSOUR, I ;
GIANELLO, G ;
BOSSO, S ;
CORSINI, R ;
MUSSI, G .
JOURNAL OF APPLIED PHYSICS, 1995, 78 (09) :5345-5350
[3]   REVIEW OF NUMERICAL AND APPROXIMATE METHODS FOR THE MODAL-ANALYSIS OF GENERAL OPTICAL DIELECTRIC WAVE-GUIDES [J].
CHIANG, KS .
OPTICAL AND QUANTUM ELECTRONICS, 1994, 26 (03) :S113-S134
[4]   X-RAY-DIFFRACTION AND ABSORPTION STUDIES OF ION-EXCHANGED GLASSES [J].
DUBIEL, M ;
SCHMITZ, R ;
KOLB, U ;
GUTWERK, D ;
BERTAGNOLLI, H .
PHYSICA B, 1995, 208 (1-4) :349-350
[5]   STRESS-INDUCED OPTICAL EFFECTS IN AG+-NA+ ION-EXCHANGED GLASS WAVE-GUIDES [J].
GONELLA, F .
OPTICS LETTERS, 1992, 17 (23) :1667-1669
[6]   REFRACTIVE-INDEX PROFILES OF DOUBLE-SILVER-EXCHANGED GLASS SYSTEMS [J].
GONELLA, F ;
QUARANTA, A .
JOURNAL OF MODERN OPTICS, 1994, 41 (01) :1-4
[7]  
GONELLA F, 1993, J EUR OPT SOC A, V2, P405
[8]   NONLINEAR-OPTICAL PROPERTIES OF METAL-QUANTUM-DOT COMPOSITES SYNTHESIZED BY ION-IMPLANTATION [J].
HAGLUND, RF ;
YANG, L ;
MAGRUDER, RH ;
WHITE, CW ;
ZUHR, RA ;
YANG, L ;
DORSINVILLE, R ;
ALFANO, RR .
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS, 1994, 91 (1-4) :493-504
[10]   A SIMPLEX-METHOD FOR FUNCTION MINIMIZATION [J].
NELDER, JA ;
MEAD, R .
COMPUTER JOURNAL, 1965, 7 (04) :308-313