Fourier analysis of reflection and refraction in two-dimensional photonic crystals

被引：13

作者：

De Leon, I

Roux, FS

机构：

[1] Univ Ottawa, Sch Informat Technol & Engn, Ottawa, ON K1N 6N5, Canada

[2] Univ Pretoria, Dept Elect Elect & Comp Engn, ZA-0002 Pretoria, South Africa

来源：

PHYSICAL REVIEW B | 2005年 / 71卷 / 23期

关键词：

D O I：

10.1103/PhysRevB.71.235105

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We investigate the reflection and refraction at an interface between a homogeneous medium and a photonic crystal with a negative effective refractive index. For this purpose a two-dimensional finite-difference time-domain method and Fourier analysis are combined to study the fields in spatial and momentum spaces. This technique allows us to study the Fourier components of the excited Bloch modes individually. It is shown that their amplitude profiles and propagation directions are to a large extent determined by the shape of the Fourier coefficient function for the Bloch-mode plane wave expansion.

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页数：10

相关论文

共 16 条

[1] Photonic crystal light deflection devices using the superprism effect [J].

Baba, T ;

Nakamura, M .

IEEE JOURNAL OF QUANTUM ELECTRONICS, 2002, 38 (07) :909-914

[2]

Chen LS, 2004, PHYS REV E, V69, DOI 10.1103/PhysRevE.69.066612

[3] Negative refraction and left-handed behavior in two-dimensional photonic crystals [J].

Foteinopoulou, S ;

Soukoulis, CM .

PHYSICAL REVIEW B, 2003, 67 (23)

[4] Refraction in media with a negative refractive index [J].

Foteinopoulou, S ;

Economou, EN ;

Soukoulis, CM .

PHYSICAL REVIEW LETTERS, 2003, 90 (10) :4

[5] EXISTENCE OF A PHOTONIC GAP IN PERIODIC DIELECTRIC STRUCTURES [J].

HO, KM ;

CHAN, CT ;

SOUKOULIS, CM .

PHYSICAL REVIEW LETTERS, 1990, 65 (25) :3152-3155

[6] Mode dispersion in biperiodic photonic crystal waveguides [J].

Jafarpour, A ;

Adibi, A ;

Xu, Y ;

Lee, RK .

PHYSICAL REVIEW B, 2003, 68 (23)

[7] Self-collimating phenomena in photonic crystals [J].

Kosaka, H ;

Kawashima, T ;

Tomita, A ;

Notomi, M ;

Tamamura, T ;

Sato, T ;

Kawakami, S .

APPLIED PHYSICS LETTERS, 1999, 74 (09) :1212-1214

[8] Superprism phenomena in photonic crystals [J].

Kosaka, H ;

Kawashima, T ;

Tomita, A ;

Notomi, M ;

Tamamura, T ;

Sato, T ;

Kawakami, S .

PHYSICAL REVIEW B, 1998, 58 (16) :10096-10099

[9] Photonic-crystal spot-size converter [J].

Kosaka, H ;

Kawashima, T ;

Tomita, A ;

Sato, T ;

Kawakami, S .

APPLIED PHYSICS LETTERS, 2000, 76 (03) :268-270

[10] Low-loss photonic crystal defect waveguides in InP [J].

Kotlyar, MV ;

Karle, T ;

Settle, MD ;

O'Faolain, L ;

Krauss, TF .

APPLIED PHYSICS LETTERS, 2004, 84 (18) :3588-3590