Folded bands in metamaterial photonic crystals

被引：12

作者：

Chen, P. Y. ^{[1
,2
]}

Poulton, C. G. ^{[3
]}

Asatryan, A. A. ^{[3
]}

Steel, M. J. ^{[4
,5
]}

Botten, L. C. ^{[3
]}

de Sterke, C. Martijn ^{[1
,2
]}

McPhedran, R. C. ^{[1
,2
]}

机构：

[1] Univ Sydney, IPOS, Sydney, NSW 2006, Australia

[2] Univ Sydney, CUDOS, Sydney, NSW 2006, Australia

[3] Univ Technol Sydney, CUDOS, Sch Math Sci, Sydney, NSW 2007, Australia

[4] Macquarie Univ, MQ Photon Res Ctr, CUDOS, Sydney, NSW 2109, Australia

[5] Macquarie Univ, Dept Phys & Astron, Sydney, NSW 2109, Australia

来源：

NEW JOURNAL OF PHYSICS | 2011年 / 13卷

基金：

澳大利亚研究理事会;

关键词：

GAP; PROPAGATION; SCATTERING; MODE;

D O I：

10.1088/1367-2630/13/5/053007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The dispersion relation of periodic structures that include metamaterials or materials with large anomalous dispersion can give bands with infinite group velocity points. These bands do not span the entire first Brillouin zone but are instead localized in k-space. We show that these points arise when both positive and negative elements are present, with the group index rather than the refractive index being the controlling quantity. A rigorous condition and two approximations are derived, each showing that an appropriate weighted average of group index being zero leads to infinite group velocity points.

引用

页数：18

共 37 条

[1] Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part II. Properties and implementation [J].

Botten, LC ;

Nicorovici, NAP ;

Asatryan, AA ;

McPhedran, RC ;

de Sterke, CM ;

Robinson, PA .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2000, 17 (12) :2177-2190

[2] Photonic band structure calculations using scattering matrices [J].

Botten, LC ;

Nicorovici, NA ;

McPhedran, RC ;

de Sterke, CM ;

Asatryan, AA .

PHYSICAL REVIEW E, 2001, 64 (04) :18

[3] Group velocity in lossy periodic structured media [J].

Chen, P. Y. ;

McPhedran, R. C. ;

de Sterke, C. M. ;

Poulton, C. G. ;

Asatryan, A. A. ;

Botten, L. C. ;

Steel, M. J. .

PHYSICAL REVIEW A, 2010, 82 (05)

[4] Negative-index metamaterial at 780 nm wavelength [J].

Dolling, G. ;

Wegener, M. ;

Soukoulis, C. M. ;

Linden, S. .

OPTICS LETTERS, 2007, 32 (01) :53-55

[5] Finite element computation of grating scattering matrices and application to photonic crystal band calculations [J].

Dossou, Kokou ;

Byrne, Michael A. ;

Botten, Lindsay C. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 219 (01) :120-143

[6] PROPAGATION OF A GAUSSIAN LIGHT PULSE THROUGH AN ANOMALOUS DISPERSION MEDIUM [J].

GARRETT, CGB ;

MCCUMBER, DE .

PHYSICAL REVIEW A, 1970, 1 (02) :305-&

[7] Zero-n gap soliton [J].

Hegde, RS ;

Winful, HG .

OPTICS LETTERS, 2005, 30 (14) :1852-1854

[8] DISPERSION ANOMALIES OF SURFACE-PLASMONS ON CORRUGATED METAL-INSULATOR INTERFACES [J].

HEITMANN, D ;

KROO, N ;

SCHULZ, C ;

SZENTIRMAY, Z .

PHYSICAL REVIEW B, 1987, 35 (06) :2660-2666

[9] Photonic crystals with anomalous dispersion:: Unconventional propagating modes in the photonic band gap [J].

Hermann, Daniel ;

Diem, Marcus ;

Mingaleev, Sergei F. ;

Garcia-Martin, Antonio ;

Woelfle, Peter ;

Busch, Kurt .

PHYSICAL REVIEW B, 2008, 77 (03)

[10]

Jackson J. D., 1975, CLASSICAL ELECTRODYN, P311

← 1 2 3 4 →