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/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. Copyright 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 Aspose 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.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 .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 .NET 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 Aspose 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.