General unit-disk representation for periodic multilayers

被引：12

作者：

Barriuso, AG ^{[1
]}

Monzón, JJ ^{[1
]}

Sánchez-Soto, LL ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Fis, Dept Opt, Madrid 28040, Spain

来源：

OPTICS LETTERS | 2003年 / 28卷 / 17期

关键词：

D O I：

10.1364/OL.28.001501

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We suggest a geometrical framework in which to discuss periodic layered structures in the unit disk. Bandgaps appear when the point representing the system approaches the unit circle. We show that the trace of the matrix describing the basic period allows for a classification in three families of orbits with quite different properties. The laws of convergence of the iterates to the unit circle can then be considered universal features of the reflection. (C) 2003 Optical Society of America.

引用

页码：1501 / 1503

页数：3

共 20 条

[1] Rigorous vector diffraction of electromagnetic waves by bidimensional photonic crystals [J].

Centeno, E ;

Felbacq, D .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2000, 17 (02) :320-327

[2] Observation of total omnidirectional reflection from a one-dimensional dielectric lattice [J].

Chigrin, DN ;

Lavrinenko, AV ;

Yarotsky, DA ;

Gaponenko, S .

APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING, 1999, 68 (01) :25-28

[3] Optical physics - Mirror on the wall: You're omnidirectional after all? [J].

Dowling, JP .

SCIENCE, 1998, 282 (5395) :1841-1842

[4] Poles and zeros of the scattering matrix associated with defect modes [J].

Felbacq, D .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (40) :7137-7141

[5]

FELBECQ D, 2001, DO FRESNEL COEFFICIE

[6] A dielectric omnidirectional reflector [J].

Fink, Y ;

Winn, JN ;

Fan, SH ;

Chen, CP ;

Michel, J ;

Joannopoulos, JD ;

Thomas, EL .

SCIENCE, 1998, 282 (5394) :1679-1682

[7] Anomalous refractive properties of photonic crystals [J].

Gralak, B ;

Enoch, S ;

Tayeb, G .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2000, 17 (06) :1012-1020

[8] The Denjoy-Wolff theorem in the open unit ball of a strictly convex Banach space [J].

Kapeluszny, J ;

Kuczumow, T ;

Reich, S .

ADVANCES IN MATHEMATICS, 1999, 143 (01) :111-123

[9] Omnidirectional reflection by multilayer dielectric mirrors [J].

Lekner, J .

JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2000, 2 (05) :349-352

[10]

Lekner J., 1987, THEORY REFLECTION

← 1 2 →