微波技术第4章

1、4.0 引言引言4.1 谐振腔的基本特性参量谐振腔的基本特性参量4.2 矩形谐振腔矩形谐振腔4.3 圆柱形谐振腔圆柱形谐振腔4.4 同轴型腔及微带腔同轴型腔及微带腔4.5 介质谐振器介质谐振器4.6 谐振腔的激励与耦合谐振腔的激励与耦合4.7 谐振腔的等效电路谐振腔的等效电路4.8 谐振腔的微扰谐振腔的微扰022EEk022EEk0 En0 Hn220iiikkfLCf210 0)(0fBvvmeddWWW*0*0044HHEEvmmedWWWW*0022HHsttsLdsRP*2HH20sRLLPWTPWQ000022能量一个周期中腔内的损耗能量腔内储存的电磁场的总谐振时SVQ10sttvd

2、sdvQ*02HHHH2221tHHeLLPPWQ系统中总损耗能量一个周期内整个耦合腔量腔内储存的电磁场总能谐振时002eeLLQQWPWPQ11100000eLeQQPP010QQL2021mLVGP202mLVPG220NMmstsdsHRGdlENMmmVdlEzjzjzeybnxamAeybnxamAH)cos()cos()cos()cos(0)0(zHz0)( lzHz）（zjzjzeeybnxamAH)cos()cos(zybnxamAjsin)cos()cos(2)sin()cos()cos(2zlpybnxamAjHztjcxezlpybnxamamlpkAjH)cos()co

3、s()sin(22tjcyezlpybnxambnlpkAjH)cos()sin()cos(22tjzezlpybnxamAjH)sin()cos()cos(2tjcxezlpybnxambnkAE)sin()sin()cos(22tjcyezlpybnxamamkAE)sin()cos()sin(220zE222)()(bnamkctjcxezlpybnxamamlpkBE)sin()sin()cos(22tjcyezlpybnxambnlpkBE)sin()cos()sin(22tjzezlpybnxamBE)cos()sin()sin(2tjcxezlpybnxambnkBjH)cos(

4、)cos()sin(22tjcyezlpybnxamamkBjH)cos()sin()cos(220zH 200)(1cg 2220)()()(2lpbnam2220)()()(21lpbnamf220)2()1(1lpctjzezlxaAjH)sin()cos(2tjcxezlxaakAjH)cos()sin(22tjcyezlxaakAE)sin()sin(220zxyEEH2202laallablaAdxdydzHHdVHablzxV 000222222)()()( 200000220222dxdzHHdydlHdxdyHdsHabblazlxzxst )(2)(22223322lall

5、ablA30aQ 000236. 0231Qa20)()(22233220laallablaablQ22202bEdyEVymbymmaAEym02)(2)()(22222233220lablaallabRVdsHRGsmstszjcnzjcnzennrkJAennrkAJHsincos)(sincos)()sin(sincos)(2zlpnnrkAJjHcnzznnrkAJjeennrkAJHcnzjzjcnzsinsincos)(2)(sincos)(tjcncrezlpnnrkJlpkAjH)cos(sincos)(2tjcncezlpnnrkJlprkAnjH)cos(cossin)(

6、22tjcncrezlpnnrkJrknAE)sin(cossin)(22tjcncezlpnnrkJkAE)sin(sincos)(20zEtjcnzezlpnnrkAJjH)sin(sincos)(2jztjcncrezlpnnrkJlpkBE)sin(sincos)(2tjcncezlpnnrkJlprkBnE)sin(cossin)(22tjcnzezlpnnrkBJE)cos(sincos)(2tjcncrezlpnnrkJrknBjH)cos(cossin)(22tjcncezlpnnrkJkBjH)cos(sincos)(20zH200)(1cgnica2nica22gpl220

7、)2()2(1)(lpaniTEnip220)2()2(1)(lpaniTmnip220)21()41. 31(1)(111laTEaTM62. 2)(0100220)21()64. 11(1)(011laTE)cos(cos)(211111zlnraAJlajHr)cos(sin)(2)(1111211zlnraAJalrjH)sin(cos)(2111zlnraAJjHz)sin(sin)(2)(111211zlnraAJarEr)sin(cos)(211111zlnraAJaE0zE)(2010raBJEz)(2)(20110101001raJaBjraJaBjH0zrrHHEEHrJz

8、zsH HzJrrsH)sin()(201101zlraJaAE)cos()(201101zlraJlaAjHr)sin()(2010zlraAJjHz0HEEzr00f)()2()(109)(2222020lDpDfni)()2()(109)(2222020lDpDfni22220)()2()()(lDpDfni 22220)()2()()(lDpDfni )1 ()(86. 0)(82. 51)(343. 003. 1)(2320023111lalalalaTEQ)1 (2405.2)(00010laTMQ322200)(168. 01)(168. 01 610. 0)(23011lala

9、TEQ1Bj2Bj021 BB21BB21BB 210201nll20nl 021 BB21BB1Bj2Bj410201ll) 12(410201nll1240nl4) 12(0nl1B2B ababblQln14100ababblQln12114100021 BB0lvctgYCclctgYBc1CB2)8 . 0264. 0)(258. 03 . 0(412. 0hWhWeehl22gplleg0412gpll）（12()grrmeg0emrr)(2103、微带圆形谐振器、微带圆形谐振器 圆形谐振腔的导带制作成圆片形，圆形谐振腔的导带制作成圆片形， 它是环形谐振腔在它是环形谐振腔在w/R1

10、时的极限状况。时的极限状况。 这种谐振器可以方便地与微带线耦合，这种谐振器可以方便地与微带线耦合，Q0值较高，可用作体效应管或雪崩二极管振荡值较高，可用作体效应管或雪崩二极管振荡 器中的谐振回路。器中的谐振回路。 可将其视为上下底面为理想电壁，四周圆柱侧壁为磁壁，内充以介质的高度极小的可将其视为上下底面为理想电壁，四周圆柱侧壁为磁壁，内充以介质的高度极小的谐振器。振荡模式也是谐振器。振荡模式也是TMmi0模，主模也是模，主模也是TM110模。模。在某些特殊应用中还可以将介质基片上的导体带做成椭圆形。在某些特殊应用中还可以将介质基片上的导体带做成椭圆形。)11 (12LCCLCBLC100|()

11、()2 ()CBC CddB2)()1(0LCjGYin002021221000GCVGCVPWQmmL00000()()22fffdBdBQGdGdf 02eLdBQGd（）0002()LLdBQGGd () YnY2，02GnG ，CnC2，2nLL2 cYGR2 cYCL 2 LYCcG0B0dBdGdBdffdfdBGfddBGQ）（)(220002221mcLeVnYP221mCVW 02020001/GGYGnYYCnGCQQccce000GCQcLeeYCnPWQ020BjGY等效的推证过程：等效的推证过程：0000HEj0000EHjHE)(rjEH)(rj)()()(点在介质

12、中点在介质体外rrr)()()(点在介质中点在介质体外rrr0)()()()*0*0*0*0dsdVSVnHEHEHEH(E*0*0*0*0)(EEEEHEHEjrj*000*0*0*0)(HHHHEHEHjrjdVV)()(*0*0*0*0EHEHHEHEVdVjrjjrj)()(*000*0*000*0HHHHEEEEVVVdVjjdVjj)()()()(*000*000*000*000HHEEHHEE)()(BAABBA）（n 00EnEn0)()()()(*000*000*000*000VVVdVjjdVjjHHEEHHEEWdVV4(202000HEVVdVdV)()(*00*00*00*000HHEEHHEEVdVW)(412020HEVVWdVdV4)()(200200*00*00HEHHEEWdVV4)()(*00*0000HHEE)sin()sin(2zlxaaAEy)cos()sin(2zlxalAajHx)sin()cos(2zlxaAjHz4) 1() 1()(2000202020altBdxdydzEdVrablyVr HEVBVEWdVVym202020020028144)(HEaAB2btablBal