光子晶體課程--張臘寶-全文預(yù)覽
【正文】 nanoelectronic apparatus Superconductor In, Pb, hightemperature superconductors 3D superlattices of the Josephson contacts (transitions) Electromagicwave generators and amplifiers (10–20 GHz) Optically active media Semiconducting ‘photodiode’ materials Materials with high refractive indices, ZnS, C, Si, Ge, TiO 2 3D superlattices of photodiodes 3D nanooptical systems Elementary particle counters Active elements of the amplifying / generating systems, control systems in fiber optics laser and other devices School of physics and telemunication South China Normal University 華南師范大學(xué) 物理與電信工程學(xué)院 3. 理論分析 簡(jiǎn)化模型 在光子晶體中 ， Maxwell方程存在如下的形式 ， HciHtcE ??? ???????? 1EciJEtcH ???? e???e ????? 1HcH ?? 21 ??????????? ?e由 Bloch理論易知 ? ? )(),( rHetrHktrki???? ??? ????)()(1222 zHczHdzd ??????? ?e)s i n ()s i n ()(21)co s ()co s ()(co s 22111221221111 c ac ac ac aaak ?e?eeeee?e?e ????e1 e2 e1 e2 e1 e2 1a 2aSchool of physics and telemunication South China Normal University 華南師范大學(xué) 物理與電信工程學(xué)院 )()()(1 22 rEcrEr ?e ????? )()()(1 22 rHcrHr ?e ??????? ????? ? )()()()()( 22 GEcGEGkGkGG knknknG?? ??????????? ?? ? ? )()()()()( 22 GHcGHGkGkGG knknknG?? ??????????? ??rikknkn erurErE ??? )()()(rikknkn ervrHrH ??? )()()(? ?? ???G knknrGkiGErE )(e x p)()(? ?? ???G knknrGkiGHrH )(e x p)()( School of physics and telemunication South China Normal University 華南師范大學(xué) 物理與電信工程學(xué)院 數(shù)值計(jì)算方法（韓鵬老師會(huì)講） ?平面波法 將電磁場(chǎng)以平面的形式展開 , 電磁場(chǎng)在倒格矢空間以平面波疊加的形式展開 ,可以將麥斯韋方程組化成一個(gè)本征方程 ,求解本征值得到傳播的光子的本征頻率 . 缺點(diǎn) :計(jì)算量與平面波的波數(shù)有很大關(guān)系 ,
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