Localization and characterization of simple defects in finite-sized photonic crystals

被引：22

作者：

Groby, Jean-Philippe ^{[1
,2
]}

Lesselier, Dominique ^{[2
]}

机构：

[1] Ecole Polytech, CNRS, UMR 7641, Ctr Appl Math, F-91128 Palaiseau, France

[2] CNRS Supelec Univ Paris Sud, UMR 8506, Signaux & Syst Lab, Dept Rech & Electromagnetisme, F-91192 Gif Sur Yvette, France

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2008年 / 25卷 / 01期

关键词：

D O I：

10.1364/JOSAA.25.000146

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Structured materials like photonic crystals require for optimal use a high degree of precision with respect to both position and optical characteristics of their components. Here we present a simple tomographic algorithm, based on a specific Green's function together with a first-order Born approximation, which enables us to localize and characterize identical defects in finite-sized photonic crystals. This algorithm is proposed as a first step to the monitoring of such materials. Illustrative numerical results show in particular the possibility of focalization beyond the Rayleigh criterion. (c) 2007 Optical Society of America.

引用

页码：146 / 152

页数：7

共 19 条

[1] Two numerical methods for recovering small inclusions from the scattering amplitude at a fixed frequency [J].

Ammari, H ;

Iakovleva, E ;

Lesselier, D .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2005, 27 (01) :130-158

[2]

ASATRYAN AA, 2005, WAVE RANDOM MEDIA, V13, P9

[3]

BARBER PW, 1990, LIGHT SCATTERIG PART

[4] Rayleigh multipole methods for photonic crystal calculations [J].

Botten, L.C. ;

McPhedran, R.C. ;

Nicorovici, N.A. ;

Asatryan, A.A. ;

de Sterke, C.M. ;

Robinson, P.A. ;

Busch, K. ;

Smith, G.H. ;

Langtry, T.N. .

Progress in Electromagnetics Research, 2003, 41 :21-60

[5] RADIATION PROPERTIES OF A PLANAR ANTENNA ON A PHOTONIC-CRYSTAL SUBSTRATE [J].

BROWN, ER ;

PARKER, CD ;

YABLONOVITCH, E .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1993, 10 (02) :404-407

[6]

Chaumet PC, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.036606

[7]

Chew W., 1995, WAVES FIELDS INHOMOG

[8] Enhanced emission with angular confinement from photonic crystals [J].

Enoch, S ;

Gralak, B ;

Tayeb, G .

APPLIED PHYSICS LETTERS, 2002, 81 (09) :1588-1590

[9] SCATTERING BY A RANDOM SET OF PARALLEL CYLINDERS [J].

FELBACQ, D ;

TAYEB, G ;

MAYSTRE, D .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (09) :2526-2538

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

Foteinopoulou, S ;

Soukoulis, CM .

PHYSICAL REVIEW B, 2003, 67 (23)

← 1 2 →