Abstract

Self-collimations are found in one-dimensional (1D) photonic crystals consisting of two kinds of single-negative materials that effectively cancel each other out. Compared to the self-collimations in all-dielectric photonic crystals or 1D photonic crystals with negative-index materials, this kind of structure can amplify both far and near fields greatly during collimation.

© 2010 OSA

Full Article  |  PDF Article

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Profile of the real part of the Poynting vector and | E y | 2 in a (a) MNG/ENG PC at conjugated parameters and (b) a DNG ( ε = μ = 1 ) /air PC for a TE plane wave of 500 THz at an incident angle of 30 degree. (c) Profile of Poynting vector and | E y | 2 in the same structure used in (a) for a Gaussian beam whose width is 660 nm. The distance between beam source and structure is 100 nm. The lattice constant in each PC is 312 nm and the thicknesses of the two media in a period are identical.

Fig. 2
Fig. 2

The EFCs of a MNG/ENG PC in which d 1 = d 2 = 50 nm when the frequency varies from 350 to 550 THz. The EFC at 500 THz is completely flat. Away from 500 THz, the EFCs will gradually deviate from flatness and those below 500 THz change much more slowly than those above 500 THz.

Fig. 3
Fig. 3

(a) A structure with two slits in which d 1 = d 2 = 12 nm and the width of slit is 60 nm that is one tenth of the incident wavelength. Black strips denote metals. The distance between the centers of the two slits is 180 nm and the distance between the metal and MNG/ENG PC is 2 nm. The Gaussian beam source with 2g = 360 nm is 40 nm away from the metal plate. The distributions of square of electrical field show that two narrow beams are well separated and collimated in the structure (b) while extended and mixed in air (c).

Fig. 4
Fig. 4

Distributions of square of electrical fields in different PCs impinged by a Gaussian beam. g = 600 nm in (a)-(d) and g = 120 nm in (e) and (f), respectively. Total length of each PC is 5360 nm. Left column with (a), (b) and (e): MNG/ENG PCs. (a) lattice constant is 536 nm. g = 600 nm. The inset is the top view. (b) lattice constant is 67 nm. g = 600 nm. (e) lattice constant is 536 nm. g = 120 nm. Right column with (c), (d) and (f): DNG ( ε = μ = 1 ) /air PCs. (c) lattice constant is 536 nm. g = 600 nm. (d) lattice constant is 67 nm. g = 600 nm. (f) lattice constant is 536 nm. g = 120 nm. The thicknesses of the two media in a period are identical.

Fig. 5
Fig. 5

The distributions of square of electrical fields in the PC used in Fig. 4(a) except that in (a) μ 1 = 0.965 + 0.002 i , ε 2 = 1.035 + 0.002 i , and in (b) ε 1 = μ 2 = 1 0.002 i , ε 2 = μ 1 = 1 + 0.002 i , respectively.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

μ 1 = μ a α 2 ( 2 π f ) 2 ,     ε 1 = ε a ,
  μ 2 = μ b ,    ε 2 = ε b β 2 ( 2 π f ) 2 ,
cos ( K z d ) = cos ( γ 1 d 1 ) cos ( γ 2 d 2 ) γ 1 2 μ 2 2 + γ 2 2 μ 1 2 2 γ 1 γ 2 μ 1 μ 2 sin ( γ 1 d 1 ) sin ( γ 2 d 2 ) ,
E y = exp i ( k x x + k 0 z z ) ψ ( k x ) d k x ,
ψ ( k x ) = g 2 π exp { [ g 2 k x 2 / 4 ] } ,

Metrics