电磁场与电磁波(第四版)课后答案习题

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1、第六章 习题Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.6.1有一频率为100MHz、沿y方向极化的均匀平面波从空气(x0区域中 媒质2的20、r210、r24,角频率5108rad/

2、s的均匀 平面波从媒质1垂直入射到分界面上。设入射波是沿x轴方向的线极 化波,在t0,z0时,入射波电场振幅为2.4V/m试求(1)1和2(2)反射系数(3)媒质1的电场E1(z,t)(4)媒质2的电场E2(z,t)(5)t5ns时媒质1的磁场H1(1,t)的值解:(1)Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copy

3、right 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.(2)(3)电场方向为ex方向Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspo

4、se Pty Ltd.或(4)Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.(4)Evaluation only.Evaluation only. Created with Aspose

5、.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.6.17z0区域中为导电 媒质(媒质2的20.004S/m、 20pF/m、r5H/m),均匀平面波从媒质1垂直入射到分界 面上。试求(1)1和1(2)反射系数(3)反射波电场Erx(4)透射波电场Etx解:(1)由题知1为自由空间,2为损耗媒

6、质Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.(2)(3)Evaluation only.Evaluation only. Created with Aspose.Slides for

7、 .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.(4)Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NE

8、T 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.6.25均匀平面波从 0、 4 0入射到与空气的分界面上。 试求(1)希望在分界面上产生全反射,应该采取多大的入射角 (2)若入射波是圆极化波,而只希望反射成为单一的直线极化波 ,应以什么入射角入射。解(1)电磁波是从稠密媒质入射到稀疏媒质,只要入射角大 于或等于临界角,就可产生全反射。(2)圆极化波可分解为平行极化和垂直极化两个分量,当入 射角等于布儒斯特角时,平行极化分量产生全透射,这样反 射

9、波中只有垂直极化分量。Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.6.29有一正弦均匀平面波从空气斜入射到位于z0的理想导体平面 上。其电场强度的复数形式为试求(1)如社波的频率f与波

10、长(2)入射波电场与磁场的瞬时表达式(3)入射角(4)反射波电场和磁场的复数形式(5)介质1中总的电场和磁场的复数形式解:(1)由题知入射波的波矢量波长为频率为Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspos

11、e Pty Ltd.(2)入射波传播方向的单位矢量为入射波磁场表示为Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.(3)(4)由斯奈尔反射定律有而垂直极化波对理想导体平面斜入射时,反射系

12、数为1,反 射波电场为Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.相伴的磁场为合成波的磁场为(5)合成波的电场为Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.

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