ResearchInstituteofRF&WirelessTechniques射频电路与天线RFCircuitsandAntenas第31讲复习谢泽明华南理工大学电子与信息学院射频与无线技术研究所TEL:22236201-801Email:eezmxie@scut.edu.cnResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology传输线理论公式:tantanLcinccLZjZlZZZjZlincincZZZZ22()LjljlLLlee1111熟练求解传输线问题:求阻抗、驻波比、反射系数maxmin11UU2()jzLUzeUcZ0lzLZUUIU射频电路与天线RFCircuitsandAntennas第一部分传输线理论ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology匹配传输线短路传输线开路传输线电抗负载行驻波状态ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology匹配传输线ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology短路传输线ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology开路传输线ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology行驻波状态ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology圆图的组成–导纳圆图•等反射系数圆•等电导圆•等电纳圆–阻抗圆图•等反射系数圆•等电阻圆•等电抗圆ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology2cckff传输条件为:=或2cck00ccTETMkf对于、波,,,具有高通特性00ccTEMkf对于波,,,无条件传输第二部分波导传输线ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology221c相位常数:21pcvv相速:21pc相波长:21gcvvv群速度:ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology21TEcZ21TMcZTEMZ波阻抗:ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology矩形波导2222ckmnabc截止波长:ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology矩形波导的主模——TE10波2222amnabc截止波长:ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology圆波导2cmnaTMP对波'2cmnaTEP对波ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology圆波导的三个主要模式TE11模特点:最低次模容易产生极化简并传输过程中会产生极化面偏转用于距离传输与矩形波导TE10模相近,用作矩形——圆形转换用作极化衰减器,波形转换器,环形器ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyTE01模的特点不是最低模损耗最低,频率升高,损耗下降轴对称,无极化简并做长距离传输电流无纵向分量,可作连接器件作高Q谐振腔TM11模简并ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyTE01模的特点不是最低模损耗最低,频率升高,损耗下降轴对称,无极化简并做长距离传输电流无纵向分量,可作连接器件,可作旋转关节作高Q谐振腔TM11模简并ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology同轴线截面有双导体,可传TEM波存在TE、TM波(高次模)工作在TEM模带状线ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology微带线微带线主模为准TEM模微带线有双导体,主模是TEM模。由于基片存在,存在不同媒质的分界面,单独TEM模不满足比边界条件,需同时存在TE、TM模。TE、TM模比TEM模小很多,场的纵向分量远小于横向分量,合成场分布近似TEM模,故为准TEM模。频率越低,越接近TEM模色散越小。频率越高,越偏离TEM模,色散越大。可工作到直流。微带线还存在高次模:波导模表面波模reccrepZZcv//01rerResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology激励与耦合:在传输线上建立所需工作模式的传输波激励的原则:为了有效激励或耦合出所需模式,激励或耦合装置在传输线上产生的电场磁场与所需模式的场相一致,产生的电流与所需模式相一致按原理分,激励和耦合可分为电激励:在传输线上产生所需电场磁激励:在传输线上产生所需磁场电磁激励:同时在传输线上产生所需电场与磁场按装置分,激励和耦合可分为探针激励:小环激励:小孔激励:ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology耦合线当两队传输线相互靠近时,彼此就会产生电磁耦合,这种传输线称为耦合传输线耦合带状线和耦合微带线常用来构造定向耦合器,滤波器等微波元件。对称的耦合线一般可以采用奇偶模法分析。ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology第三部分网络理论波导等效为平行双线)()(Re21zIzUP线1Re2ttSTPdsEH波zjeUzU0)(zjeIzI0)(TTHEZIUZ波导的磁场与平行双线的电流地位对应,波导的电场与平行双线的电压地位对应波导等效为平行双线后,等效电流为波导磁场的纵向分布函数,等效电压为波导电场的纵向分布函数(,)()tEexyUz(,)()tHhxyIzResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology1TttSehds称归一化条件CZUU归一化电压CZII归一化电流ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyZ矩阵–阻抗矩阵Z1I2I1U2U1T2T2CZ1CZ211211111212002222212100IIIIUUZZIIUUZZIIResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyY矩阵-导纳矩阵Y1I2I1U2U1T2T1cY2cY22212122121111UYUYIUYUYIUYI211211111212002222212100UUUUIIYYUUIIYZUUResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyA矩阵-转移矩阵A1I2I1U2U1T2T2CZ1CZ22222112122111IAUAIIAUAU2211IUAIU021210212202112021112222IUUIUIAIIAIUAUUAResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyS矩阵——散射参数用端口的入射波计算端口的反射波(出射波)1a2a3ana1b2b3bnb123nSnnnnnnnnaaaSSSSSSSSSbbb2121222211121121kikCkkrkCkaUZbUZ—归一化电压进波—归一化电压出波aSb)(0jiabSjaiiii)(0jiabSiajiij其他口匹配时i口的反射系数其他口匹配时j口到i口的传输系数Zck为第k口的特性阻抗ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyT矩阵——传输参数用端口2的进出波计算端口1的进出波T1a2a1b2b22222112122111aTbTbaTbTa2211abTbaResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology双口网络的工作特性参量衰减工作衰减插入衰减插入反射系数、插入驻波比电压传输系数插入相移ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnology第四部分射频元器件ResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyResearchInstituteofRF&WirelessTechniquesSouthChinaUniversityofTechnologyResearchInstituteofRF&WirelessTechni