Band edge states of the ⟨n⟩=0 gap of Fibonacci photonic lattices

被引：29

作者：

Bruno-Alfonso, A. ^{[1
]}

Reyes-Gomez, E. ^{[2
]}

Cavalcanti, S. B. ^{[3
,4
]}

Oliveira, L. E. ^{[4
,5
]}

机构：

[1] Univ Estadual Paulista, Fac Ciencias, BR-17033360 Sao Paulo, Brazil

[2] Univ Antioquia, Inst Fis, Medellin 1226, Colombia

[3] Univ Fed Alagoas, Inst Fis, BR-57072970 Maceio, Alagoas, Brazil

[4] Inmetro, BR-25250020 Rio De Janeiro, Brazil

[5] Univ Estadual Campinas, Inst Fis, BR-13083970 Campinas, SP, Brazil

来源：

PHYSICAL REVIEW A | 2008年 / 78卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

D O I：

10.1103/PhysRevA.78.035801

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The stationary and normally incident electromagnetic modes in Fibonacci lattices with generating layers of positive and negative indices of refraction are calculated by a transfer-matrix technique. It is shown that the condition for constructive interference of reflected waves is fulfilled when the ratio of optical paths in positive and negative media are given by the golden ratio. Furthermore, in the long-wavelength limit, it is demonstrated that the edges of the < n > = 0 gap are the frequencies satisfying the conditions <epsilon > = 0 and <mu > = 0.

引用

页数：4

共 13 条

[1] Photonic band structure and symmetry properties of electromagnetic modes in photonic crystals [J].

Cavalcanti, S. B. ;

de Dios-Leyva, M. ;

Reyes-Gomez, E. ;

Oliveira, L. E. .

PHYSICAL REVIEW E, 2007, 75 (02)

[2] Band structure and band-gap control in photonic superlattices [J].

Cavalcanti, S. B. ;

de Dios-Leyva, M. ;

Reyes-Gomez, E. ;

Oliveira, L. E. .

PHYSICAL REVIEW B, 2006, 74 (15)

[3] Omnidirectional reflection from one-dimensional quasi-periodic photonic crystal containing left-handed material [J].

Da, HX ;

Xu, C ;

Li, ZY .

PHYSICS LETTERS A, 2005, 345 (4-6) :459-468

[4] Light transport through the band-edge states of Fibonacci quasicrystals [J].

Dal Negro, L ;

Oton, CJ ;

Gaburro, Z ;

Pavesi, L ;

Johnson, P ;

Lagendijk, A ;

Righini, R ;

Colocci, M ;

Wiersma, DS .

PHYSICAL REVIEW LETTERS, 2003, 90 (05) :4-055501

[5] Omni-reflectance and enhanced resonant tunneling from multilayers containing left-handed materials [J].

Daninthe, H. ;

Foteinopoulou, S. ;

Soukoulis, C. M. .

PHOTONICS AND NANOSTRUCTURES-FUNDAMENTALS AND APPLICATIONS, 2006, 4 (03) :123-131

[6] Experimental verification of epsilon-near-zero metamaterial coupling and energy squeezing using a microwave waveguide [J].

Edwards, Brian ;

Alu, Andrea ;

Young, Michael E. ;

Silveirinha, Mario ;

Engheta, Nader .

PHYSICAL REVIEW LETTERS, 2008, 100 (03)

[7] Photonic crystal heterostructures and interfaces [J].

Istrate, Emanuel ;

Sargent, Edward H. .

REVIEWS OF MODERN PHYSICS, 2006, 78 (02) :455-481

[8] Omnidirectional gap and defect mode of one-dimensional photonic crystals containing negative-index materials [J].

Jiang, HT ;

Chen, H ;

Li, HQ ;

Zhang, YW ;

Zhu, SY .

APPLIED PHYSICS LETTERS, 2003, 83 (26) :5386-5388

[9] Photonic band gap from a stack of positive and negative index materials [J].

Li, J ;

Zhou, L ;

Chan, CT ;

Sheng, P .

PHYSICAL REVIEW LETTERS, 2003, 90 (08) :4-083901

[10] ELECTRODYNAMICS OF SUBSTANCES WITH SIMULTANEOUSLY NEGATIVE VALUES OF SIGMA AND MU [J].

VESELAGO, VG .

SOVIET PHYSICS USPEKHI-USSR, 1968, 10 (04) :509-&

← 1 2 →