電磁波理論

第1章  基本概念(1)                  
     1.1  自由空間中的麥克斯韋方程組(1)                  
         1.1.1  空間頻率k(4)                  
         1.1.2  矢量分析與邊界條件(8)                  
         習題(23)                  
     1.2  極化(24)                          
         專題1.2.A  斯托克斯(Stokes)參數(shù)和龐加萊(Poincare)極化球(28)                  
         習題(33)                  
     1.3  洛倫茲力定律(34)                  
         1.3.1  坡印廷(Poynting)定理和坡印廷矢量(38)                  
         1.3.2  動量守恒定理(40)                  
         習題(40)                  
     1.4  赫茲波(42)                  
         專題1.4.A  電場力線圖(47)                  
         習題(51)                   
     1.5  介質(zhì)中的波(53)                  
         1.5.1  波矢量k(53)                  
         1.5.2  導電介質(zhì)中的波(55)                  
         1.5.3  等離子體中的波(57)                  
         1.5.4  單軸介質(zhì)中的波(60)                  
         習題(61)                  
     1.6  波的反射(63)                  
         習題(72)                  
     1.7  波導(74)                  
         1.7.1  平行板波導中的波(74)                  
         1.7.2  矩形波導中的波(79)                  
         1.7.3  矩形諧振腔(83)                  
         習題(85)                  
     1.8  本構(gòu)關系(89)                  
         1.8.1  各向異性和雙向異性介質(zhì)(90)                  
         專題1.8.A  本構(gòu)矩陣(92)                  
         習題(93)                  
     1.9  邊界條件(95)                  
         專題1.9.A  邊界條件的推導(95)                  
         專題1.9.B  移動邊界的邊界條件(96)                  
         習題(97)                  
     部分習題答案(98)                   
 第2章  傳輸線(104)                  
     2.1  傳輸線理論(104)                  
         2.1.1  波動方程和波動解(106)                  
         2.1.2  坡印廷定理(107)                  
         專題2.1.A電路理論(108)                  
         習題(110)                  
     2.2  傳輸線上的瞬態(tài)過程(110)                  
         習題(119)                  
     2.3  正弦穩(wěn)態(tài)傳輸線(120)                  
         2.3.1  傳輸線末端的反射(122)                  
         2.3.2  輸入阻抗(123)                  
         2.3.3  廣義反射系數(shù)(125)                  
         專題2.3.A  史密斯(Smith)圓圖(126)                  
         專題2.3.B  周期加載傳輸線(132)                  
         習題(133)                  
     2.4  集總單元傳輸線(134)                  
         習題(145)                  
     2.5  傳輸線上的簡正模式(147)                  
         2.5.1  簡正模式和自然頻率(147)                  
         2.5.2  初值問題(149)                  
         習題(153)                  
     2.6  傳輸線建模(155)                  
         2.6.1  天線輻射的建模(155)                  
         專題2.6.A  方向圖相乘技術(158)                  
         2.6.2  反射和傳輸?shù)慕?160)                  
         習題(165)                  
     部分習題答案(167)                  
 第3章  傳播和導行(170)                  
     3.1  時諧場(170)                  
         3.1.1  時諧場的麥克斯韋方程(170)                  
         3.1.2  本構(gòu)方程和色散介質(zhì)(171)                  
         3.1.3  坡印廷功率矢量的時間平均(174)                  
         專題3.1.A  無損耗介質(zhì)中的對稱條件(175)                  
         習題(176)                  
     3.2  平面波解(178)                  
         3.2.1  相位和群速(179)                  
         3.2.2  有耗介質(zhì)中的穿透深度(181)                  
         3.2.3  無耗介質(zhì)中的凋落波(182)                  
         習題(183)                  
     3.3  介質(zhì)中的電磁波和kDB坐標系(185)                  
         3.3.1  kDB坐標系(185)                  
         3.3.2  kDB坐標系中的麥克斯韋方程(187)                  
         3.3.3  單軸介質(zhì)中的平面波(189)                  
         專題3.3.A  回旋介質(zhì)中的平面波(193)                  
         專題3.3.B  雙各向異性介質(zhì)中的平面波(197)                  
         專題3.3.C  非線性介質(zhì)中的平面波(198)                  
         習題(203)                  
     3.4  反射與透射(207)                  
         3.4.1  相位匹配(207)                  
         3.4.2  平面邊界的反射和透射(210)                  
         3.4.3  分層介質(zhì)的反射和透射(216)                  
         習題(223)                  
     3.5  導行(229)                  
         3.5.1  導體平行板的導行(229)                  
         3.5.2  介質(zhì)片波導中的導行波(240)                  
         3.5.3  分層介質(zhì)中的導行波(243)                  
         3.5.4  矩形柱波導(251)                  
         3.5.5  圓柱波導(254)                  
         習題(265)                   
     3.6  諧振(269)                  
         3.6.1  矩形腔諧振器(269)                  
         3.6.2  圓形腔諧振器(271)                  
         3.6.3  球形腔諧振器(272)                  
         專題3.6.A  腔的攏動(274)                   
         習題(276)                   
     部分習題答案(277)                  
 第4章  輻射(283)                  
     4.1  Cerenkov輻射(283)                  
     4.2  格林函數(shù)(286)                  
         4.2.1  并矢格林函數(shù)(286)                  
         4.2.2  輻射場的近似(289)                  
         習題(292)                   
     4.3  赫茲偶極子(292)                  
         4.3.1  赫茲電偶極子(292)                  
         4.3.2  赫茲磁偶極子和小環(huán)路天線(295)                  
         習題(297)                   
     4.4  偶極子線陣(298)                  
         4.4.1  具有順序相移的均勻陣列天線(298)                  
         4.4.2  非均勻電流激勵的陣列天線(303)                  
         4.4.3  DolphChebyshev陣列(305)                  
         4.4.4  陣列方向圖的綜合(310)                  
         習題(315)                   
     4.5  線天線(317)                  
         習題(321)                   
     4.6  雙錐天線(322)                  
         4.6.1  建模和波動方程解(322)                  
         4.6.2  空氣區(qū)域和偶極子場的解(324)                  
         4.6.3  天線區(qū)域中的解(325)                  
         4.6.4  傳輸線模型(327)                  
         4.6.5  雙錐天線問題的正解(330)                  
         習題(332)                   
     4.7  分層介質(zhì)中的振子天線(333)                  
         4.7.1  積分方程法(333)                  
         4.7.2  回路積分法(339)                  
         專題4.7.A  雙層介質(zhì)上的振子天線(353)                  
         習題(364)                   
     部分習題答案(368)                  
 第5章  關于波和介質(zhì)的定理(375)                  
     5.1  等效原理(375)                  
 5.1.1 電偶極子和磁偶極子(375)                        
 5.1.2  鏡像源(375)                  
         5.1.3  面電流和面磁流(377)                  
 5.1.4 外加的和感應的面電流(378)                       
         專題5.1.A  惟一性定理(383)                  
         專題5.1.B  對偶性和互補性(384)                  
         專題5.1.C  惠更斯原理的數(shù)學公式(389)                  
         專題5.1.D  菲涅耳(Fresnel)和夫瑯禾費(Fraunhofer)繞射(395)                  
         習題(402)                   
      5.2  反作用和互易性(406)                  
         5.2.1  反作用(406)                  
         5.2.2  互易性(407)                  
         5.2.3  互易性條件(410)                  
         5.2.4  修正的互易性定理(411)                  
         專題5.2.A  穩(wěn)定公式和瑞利－里茲(RayleighRitz)過程(412)                  
         專題5.2.B  矩量法(416)                  
         習題(417)                   
     5.3  準靜態(tài)場的極限(418)                  
         習題(421)                   
     5.4  幾何光學極限(421)                  
         習題(433)                   
     5.5  近軸極限(434)                  
         專題5.5.A  高斯波束(434)                  
         習題(438)                   
     5.6  電磁波的量子化(439)                  
         5.6.1  測不準原理(439)                  
         5.6.2  零化算子和建立算子(441)                  
         5.6.3  雙各向異性介質(zhì)中波的量子化(446)                  
         習題(448)                   
     部分習題答案(450)                  
 第6章  散射(452)                  
     6.1  球形粒子的散射(452)                  
 6.1.1 瑞利(Rayleigh)散射(452)                    
 6.1.2  米氏(Mie)散射(454)                  
         習題(456)                   
     6.2  導體柱的散射(457)                  
         6.2.1  精確解(457)                  
         6.2.2  維特森(Watson)變換(458)                  
         6.2.3  爬行波(459)                  
         習題(460)                  
     6.3  周期性粗糙表面的散射(462)                  
         6.3.1  周期波紋狀導體表面的散射(462)                  
         6.3.2  周期介質(zhì)表面的散射(465)                  
         習題(470)                  
     6.4  隨機粗糙表面的散射(470)                  
         6.4.1  基爾霍夫(Kirchhoff)近似(472)                  
 6.4.2 幾何光學解(477)                        
 6.4.3  小擾動方法(479)                  
         習題(484)                   
     6.5  周期介質(zhì)的散射(485)                  
         6.5.1  一階耦合模式方程(486)                  
         6.5.2  周期結(jié)構(gòu)板產(chǎn)生的反射和透射(487)                  
         6.5.3  高斯波束的遠場繞射(490)                  
     6.6  隨機介質(zhì)的散射(491)                  
 6.6.1 分層介質(zhì)的并矢格林函數(shù)(492)                       
 6.6.2  半空間隨機介質(zhì)的散射(495)                  
         習題(497)                  
     6.7  體散射介質(zhì)的有效介電常數(shù)(497)                  
 6.7.1 隨機離散散射粒子(499)                        
 6.7.2  連續(xù)隨機介質(zhì)的有效介電常數(shù)(502)                  
         習題(505)                  
     部分習題答案(507)                  
 第7章  電磁波理論與狹義相對論(511)                  
     7.1  麥克斯韋-閔可夫斯基(Maxwell-Minkowski)理論(511)                  
         專題7.1.A  安培表述(512)                  
         專題7.1.B  博菲(Boffi)表述(512)                  
         專題7.1.C  朱(Chu)的表述(512)                  
     7.2  洛倫茲變換(513)                  
         專題7.2.A  電磁場變換的推導(516)                  
         專題7.2.B  洛倫茲不變量(519)                  
         專題7.2.C  電磁場分類(520)                  
         專題7.2.D  頻率和波矢量的變換(521)                  
         專題7.2.E  像差效應(522)                  
         專題7.2.F  多普勒效應(522)                  
         習題(523)                   
     7.3  運動介質(zhì)中的波(527)                  
         7.3.1  本構(gòu)關系變換(527)                  
         專題7.3.A  運動單軸介質(zhì)中的平面波(532)                  
         專題7.3.B  運動邊界的相匹配(535)                  
         專題7.3.C  作用于運動電介質(zhì)半空間的力(536)                  
         專題7.3.D  運動電介質(zhì)板內(nèi)的導波(538)                  
         專題7.3.E  運動回旋介質(zhì)中的導波(539)                  
         習題(541)                  
     7.4  張量形式的麥克斯韋方程組(542)                  
         專題7.4.A  逆變和協(xié)變矢量(543)                  
         專題7.4.B  場張量和激勵張量(547)                  
         專題7.4.C  張量形式的本構(gòu)關系(548)                  
         習題(548)                  
     7.5  哈密頓(Hamilton)原理和諾特(Noether)定理(549)                  
         7.5.1  動態(tài)積分(549)                  
         7.5.2  哈密頓原理和麥克斯韋方程組(549)                  
         7.5.3  諾特定理和能量動量張量(550)                  
     部分習題答案(552)                  
 參考文獻(555)