Analysis of butt coupling in photonic crystals

被引：45

作者：

Sanchis, P ^{[1
]}

Bienstman, P

Luyssaert, B

Baets, R

Marti, J

机构：

[1] Univ Politecn Valencia, Nanophoton Technol Ctr, Fiber Radio Grp, Valencia 46022, Spain

[2] Ghent Univ, IMEC, Dept Informat Technol, B-9000 Ghent, Belgium

来源：

IEEE JOURNAL OF QUANTUM ELECTRONICS | 2004年 / 40卷 / 05期

关键词：

electromagnetic scattering by periodic structures; optical propagation in nonhomogeneous media; periodic structures;

D O I：

10.1109/JQE.2004.826428

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 present a detailed analysis of butt coupling from conventional dielectric waveguides into photonic crystal waveguides. Closed-form expressions for the reflection and transmission matrices based on an eigenmode expansion technique are derived and validated by means of simulations. We use them to investigate butt-coupling losses in two kinds of photonic crystal structures: one formed by rods with a higher refractive index than the surrounding medium and the other formed by air holes inserted in a high-refractive-index medium. The origin and difference of coupling losses between the two photonic crystal structures is analyzed and discussed. We show that, although the coupling efficiency is much worse in the former structure, it can be significantly improved by choosing the optimum interface position that minimizes the mode impedance mismatch. Furthermore, the dependence of coupling efficiency on frequency is also analyzed. Finally, we also relate some traditionally used approximate formulas to our rigorous expressions.

引用

页码：541 / 550

页数：10

共 31 条

[1] Role of distributed Bragg reflection in photonic-crystal optical waveguides
Adibi, A
Xu, Y
Lee, RK
Loncar, M
Yariv, A
Scherer, A
[J]. PHYSICAL REVIEW B, 2001, 64 (04):
[2] Properties of the slab modes in photonic crystal optical waveguides
Adibi, A
Xu, Y
Lee, RK
Yariv, A
Scherer, A
[J]. JOURNAL OF LIGHTWAVE TECHNOLOGY, 2000, 18 (11) : 1554 - 1564
[3] Taper structures for coupling into photonic crystal slab waveguides
Bienstman, P
Assefa, S
Johnson, SG
Joannopoulos, JD
Petrich, GS
Kolodziejski, LA
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2003, 20 (09) : 1817 - 1821
[4] BIENSTMAN P, 2001, THESIS GHENT U GENT
[5] Bloch F., 1929, Z. Phys, V52, P555, DOI [DOI 10.1007/BF01339455, 10.1007/BF01339455]
[6] Semianalytic treatment for propagation in finite photonic crystal waveguides
Botten, LC
Asatryan, AA
Langtry, TN
White, TP
de Sterke, CM
McPhedran, RC
[J]. OPTICS LETTERS, 2003, 28 (10) : 854 - 856
[7] Photonic band structure calculations using scattering matrices
Botten, LC
Nicorovici, NA
McPhedran, RC
de Sterke, CM
Asatryan, AA
[J]. PHYSICAL REVIEW E, 2001, 64 (04): : 18
[8] SOME IMPORTANT PROPERTIES OF WAVE-GUIDE JUNCTION GENERALIZED SCATTERING MATRICES IN THE CONTEXT OF THE MODE MATCHING TECHNIQUE
ELEFTHERIADES, GV
OMAR, AS
KATEHI, LPB
REBEIZ, GM
[J]. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1994, 42 (10) : 1896 - 1903
[9] Photonic crystal tapers for ultracompact mode conversion
Happ, TD
Kamp, M
Forchel, A
[J]. OPTICS LETTERS, 2001, 26 (14) : 1102 - 1104
[10] Joannopoulos J. D., 2008, Molding the flow of light

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