光子晶體原理與計(jì)算

1、西元西元 1968 年由蘇聯(lián)科學(xué)家年由蘇聯(lián)科學(xué)家V. G. Veselago 提出提出 “左手介質(zhì)左手介質(zhì)” (Left-handed materials) 理論理論西元西元 2000 年年, 美國(guó)物理學(xué)家美國(guó)物理學(xué)家D. R. Smith 做出做出 “人工的人工的” (artificial) 左手介質(zhì)左手介質(zhì)同年同年, 英國(guó)物理學(xué)家英國(guó)物理學(xué)家 John. B. Pendry 在在 Phys. Rev. Lett. 提出提出 “完美透鏡完美透鏡” 構(gòu)想構(gòu)想, 而日本而日本 科學(xué)家科學(xué)家 M. Notomi 仔細(xì)分析了光子晶體在仔細(xì)分析了光子晶體在 “非長(zhǎng)波極限非長(zhǎng)波極限” 下的光傳播行為下的

2、光傳播行為近年近年, “光子晶體負(fù)折射光子晶體負(fù)折射” 與與 “次次波長(zhǎng)成像波長(zhǎng)成像” 成為熱門(mén)的研究領(lǐng)域成為熱門(mén)的研究領(lǐng)域D. R. Smith et. al., Physics Today, 17, May (2000). Phys. Rev. Lett. 84, 4184 (2000) ; Science, 292, 77 (2001) 22( )1p 2220( )1F +0, 0, , ttnnE H B D 在邊界連續(xù)2*|Re88cckSEH左手介左手介質(zhì)質(zhì)光子晶體光子晶體 (利用特殊的色散特性利用特殊的色散特性) 0, 0利用Negative Refraction of PC:

3、 Beam propagationJ. B. Pendry, Phys. Rev. Lett. 80, 3966 (2000)0,0,0n“All this was pointed out by Veselago some time ago. The new message in this Letter is that, remarkably, the medium can also cancel the decay of evanescent waves. The challenge here is that such waves decay in amplitude, not in pha

4、se, as they propagate away from the object plane. Therefore to focus them we need to amplify them rather than to correct their phase. We shall show that evanescent waves emerge from the far side of the medium enhanced in amplitude by the transmission process.” vector(phase velocity)kPoynting vector

5、(energy flow)First proposed by V. G. Veselago (1968)sf1f2表面電漿子表面電漿子 (Surface-Plasmon-Polaritons (SPP)SPP exists when0 or 0 in the blue region1122orsinsinyykknncc/abs/cond-mat/0312125 ( 游漢輝教授等 ) spacetimeespacetimeUSvEnergy velocity :( )g kvkGroup velocity :egvvIt can be shown that Wav

6、e energy flows along the normal direction of the constant frequency curve (surface) 等頻率曲線等頻率曲線 (Constant Frequency Curve)Square Lattice v.s. Triangular Lattice All-angle negative refraction without negative effective index Chiyan Luo, Steven G. Johnson, and J. D. Joannopoulos, J. B. Pendry, Phys. Re

7、v. B 65, 201104 (2002)See also:Phys. Rev. Lett. 90, 107402 (2003)Phys. Rev. B. 67 235107 (2003)Phys. Rev. B. 68 045115 (2003)次波長(zhǎng)成像真的需要負(fù)折射嗎次波長(zhǎng)成像真的需要負(fù)折射嗎 ?L. S Chen, C. H. Kuo, and Z. Ye, Phys. Rev. E 69, 066612 (2004)Z. Y. Li and L. L. Lin, Phys. Rev. B 68, 245110 (2003)S. He, Z. Ruan, L. Chen, and J

8、. Shen, Phys. Rev. B 70, 115113 (2004)0Dielectric cylinders in air, square lattice (lattice constant )Parameters: 14, 1, 0.3The square lattice has been rotated by 45 . Each layer contains 50 cylinders. There are 8 layers inara this structure.Interlayer distance: 2 /20.707Source-surface distance0.5Working frequency (dimensionless) :/(2)/0.192E-polarized waves ()daaaacaEEzIncreasing the interlayer distance1.5d2d2.5d3dd=0.707aDecreasi