Modal Analysis of Graded-Index Porous Silicon Slab Waveguides

被引:1
作者
Boucher, Yann G. [1 ]
Charrier, Joel [2 ]
Pirasteh, Parastesh [1 ,2 ]
机构
[1] ENIB, RESO Lab, EA 3380, CS 73862, F-29238 Brest 3, France
[2] ENSSAT, FOTON, UMR 6082, F-22305 Lannion, France
关键词
Bessel-Airy functions; graded-index waveguide; mode profile; modeling; transfer matrix formalism;
D O I
10.1109/JQE.2008.925138
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We investigate the modal properties, for TE polarization, of graded-index porous silicon slab waveguides with linearly varying dielectric permittivity. Using transfer matrix formalism, we derive all-analytical expressions, in terms of special functions of the Bessel class, for the propagation constant and the transverse profile of each mode.
引用
收藏
页码:886 / 893
页数:8
相关论文
共 17 条
[1]  
Abramowitz M., 1970, HDB MATH FUNCTIONS
[2]  
Chen C.-L., 2007, FDN GUIDED WAVE OPTI
[3]  
GIRES F, 1964, CR HEBD ACAD SCI, V258, P6112
[4]  
GOUDET G, 1965, FONCTIONS BESSEL LEU
[5]   Transfer matrix associated with a linear permitivity gradient and Bragg reflector with trapezoid profile [J].
Kamouni, R ;
Boucher, Y .
JOURNAL DE PHYSIQUE IV, 2002, 12 (PR5) :185-186
[6]  
KOGELNIK H, 1990, GUIDED WAVE OPTOELEC
[7]   Fresnel coefficients of a rough interface [J].
Lérondel, G ;
Romestain, R .
APPLIED PHYSICS LETTERS, 1999, 74 (19) :2740-2742
[8]  
Marcuse D., 1991, Theory of Dielectric Optical Waveguides, V2nd
[9]  
Merzbacher E, 1999, QUANTUM MECH, V3rd
[10]   Optical gain measurements in porous silicon planar waveguides codoped by erbium and ytterbium ions at 1.53 μm [J].
Najar, Adel ;
Charrier, Joeel ;
Lorrain, Nathalie ;
Haji, Lazhar ;
Oueslati, Mehrezi .
APPLIED PHYSICS LETTERS, 2007, 91 (12)