диафрагмированные волноводные фильтры / 3be603e2-edb5-48df-b6b8-4b4eee459016

Abstract-This paper presents a type of E-plane filter using folded split ring resonators (FSRRs). For miniaturization design, the FSRRs are adopted to design this kind of E-plane filter. The FSRR-loaded waveguide cell, which is constructed of a section of waveguide loaded with a single FSRR in the center E-plane, is carefully designed and analyzed. The depth of transmission zero and the Q-factor are investigated with respect to the sizes of FSRR. Two typical samples, i.e. the single band bandstop filters and dual-band bandstop filters, are designed and simulated. The design method can be used to design W-band E-plane filters as well and simulation results of an example are presented. This kind of filters can be designed to implement multi-band bandstop or to form multi-band bandpass filters flexibly. So the design filters are reconfigurable.

, ,1752'8&7,21

7KH VSOLW ULQJ UHVRQDWRUV 655V ZKLFK RULJLQDOO\ SURSRVHG E\ 3HQGU\ HW DO > @ DUH ZLGHO\ XVHG WR GHVLJQPLFURZDYH RU PLOOLPHWHU ZDYH FRPSRQHQWV 7KH 655V FDQ LPSOHPHQW RU LPSURYH WKH SHUIRUPDQFH RI WKH FRPSRQHQWV E\ FDUHIXOO\ GHVLJQLQJ$SODQDU PRQRSROH FLUFXODU 8:% DQWHQQD > @ ZLWK WULSOH QRWFKHG EDQGV KDV EHHQ SURSRVHG E\ ORDGLQJ 655V 0RVWO\ WKH 655V DUH XVHG WR LPSOHPHQW PHWDPDWHULDOV ZKLFK FDQ UHDOL]H QHJDWLYH SHUPHDELOLW\ > @ QHJDWLYH SHUPLWWLYLW\ RU ERWK RI WKHP > @ QHDU WKH UHVRQDQW IUHTXHQFLHV $QG WKH PHWDPDWHULDOVUHDOL]HGE\DUUD\VRI655VKDYHEHHQXVHGLQ GHVLJQLQJ WKH ILOWHUV > @ > @ 0RUHRYHU LQ WKH ZRUN RI > @ > @ WKH SURVSHFWV RI DFKLHYLQJ EDFNZDUG WUDYHOOLQJ PRGHV LQ HYDQHVFHQW PRGH ZDYHJXLGHV ORDGHG ZLWK 655V KDYH EHHQ QXPHULFDOO\ DQG H[SHULPHQWDOO\ LQYHVWLJDWHG 7KHVH HYDQHVFHQW PRGH ZDYHJXLGH ILOWHUV ZHUH GHVLJQHG E\ ORDGLQJ WKH 655V LQ WKH ZDYHJXLGH RSHUDWLQJ EHORZ LWV FXWRII IUHTXHQF\ ,W ZDV DOVR VKRZQ WKDW 655 ORDGHG HYDQHVFHQW PRGH ZDYHJXLGHV FDQ SURYLGH ILOWHULQJ SURSHUWLHV DQG ZDYHJXLGH PLQLDWXUL]DWLRQ > @ &RQVLGHULQJ WKH ZDYHJXLGH DV D WUDQVPLVVLRQ OLQH IRU HDFK SURSDJDWLQJ PRGH 655 VWUXFWXUHV FDQ EH XVHG LQ WKH GHVLJQ RI EDQGVWRS ZDYHJXLGH ILOWHUV > @ > @ ZKHQ WKH 655V DUH ORDGHG LQ WKH ZDYHJXLGH DERYH LWV FXWRII IUHTXHQF\ +RZHYHU LQ > @ WKH GHVLJQHG EDQGVWRS ILOWHU FRXOG QRW JLYH JRRG WUDQVPLVVLRQ SHUIRUPDQFH LQ WKH ORZHU DQG XSSHU SDVVEDQG ,Q > @ DQG > @ WKHVWRSEDQGSHUIRUPDQFH ZDVLPSURYHGE\FDVFDGLQJ655V DQG WKH PXOWLSOH VWRSEDQGV ZHUH LPSOHPHQWHG E\ GLIIHUHQW LQVHUWHG VXEVWUDWHV ZLWK DUUD\V RI 655V VR WKH GHVLJQHG PXOWL EDQG EDQGVWRS ILOWHU KDG WKH GUDZEDFNV RI FRPSOH[LW\ LQ GHVLJQ DQG IDEULFDWLRQ ,Q DGGLWLRQ WKH GHVLJQHG ILOWHU > @ ZLWK FURVV

,(((

LQVHUWHG VXEVWUDWHV PDGH WKH IDEULFDWLRQ DQG DVVHPEOLQJ PRUH

GLIILFXOW\ DQG FRPSOH[LW\

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

,, '(6,*1$1'$1$/<6,6

A. The FSRR-loaded waveguide cell

7KHZDYHJXLGHVHFWLRQORDGHGZLWKDIROGHG655)655 LQVHUWHG LQ WKH FHQWUDO ( SODQH LV DGRSWHG DV D GHVLJQ FHOO IRU FRPSDFW ILOWHUV DV VKRZQ LQ )LJ 7KH FHOO LV FKDUDFWHUL]HG E\ WKH VWDQGDUG ZDYHJXLGH DQG WKH SDUDPHWHUV JLYHQ LQ )LJ E ,QWKHGHVLJQFRQVLGHULQJWKHOLPLWDWLRQVRI3&%IDEULFDWLRQ WHFKQRORJ\ WKH PLQLPXP ZLGWKwDQG JDSg RI WKH )655 DUH VHW WR EH PP IRU D UHOLDEOH IDEULFDWLRQ 7KH 5RJHUV 57 'XURLG VXEVWUDWH ZLWK SHUPLWWLYLW\ WDQį DQG WKLFNQHVV PP LV LQVHUWHG LQWR WKH FHQWHU ( SODQH RI :5a PPb PP VXSSRUWLQJ WKH )655V$OO WKH SULQWHG PHWDO RI WKH )655 RQ WKH VXEVWUDWH KDV D WKLFNQHVV RI PP 7KH KHLJKW RI WKH )655 LV GHQRWHG E\ hZKLFK SOD\V DQ LPSRUWDQW UROH LQ GHWHUPLQLQJ WKH GHSWKV RI WUDQVPLVVLRQ ]HURHV DQG 4 IDFWRUV DV VKRZQ LQ )LJ :KHQ WKH KHLJKW h DQG WKH ZLGWK RI WKH PHWDO VWULS w DUH IL[HG GHFUHDVLQJ WKH OHQJWKlOHDGV WR D KLJKHU UHVRQDQW IUHTXHQF\ %XW WKH GHSWK RI WUDQVPLVVLRQ ]HUR DQG 4 IDFWRU DOPRVW NHHS WKH VDPH 7KH WRWDO HOHFWULFDO OHQJWK RI WKH )655 LV OHVV WKDQ D KDOI RI ZDYHOHQJWK &KDQJLQJ WKH KHLJKW h DQG WKH OHQJWK l ZKLOH NHHSLQJ DOPRVW WKH VDPH WRWDO HOHFWULFDO OHQJWK RI WKH )655 WKH )655 ORDGHG ZDYHJXLGH FHOO UHVRQDWHV DW WKH VDPH IUHTXHQF\ RI *+] DV VKRZQ LQ )LJ +RZHYHU WKH GHSWKV RI WUDQVPLVVLRQ ]HURHV DQG WKH 4 IDFWRUV DUH TXLWH GLIIHUHQW

8QLWV DOO LQ PP

6XEVWUDWH

l

b =

w

h

g

g

a =

6WDQGDUG :DYHJXLGH :5

D E

)LJ 7KH SURSRVHG )655 ORDGHG ZDYHJXLGH FHOO D 2YHU YLHZ E

'LPHQVLRQ SDUDPHWHUV RI WKH )655

Frequency (GHz)

)LJ 7KH VLPXODWLRQ 6 UHVXOWV YHUVXVh DQGlZLWKw PPg PP DQG g PP

0RUHRYHU WKH ODUJHUh UHVXOWV LQ D GHHSHU WUDQVPLVVLRQ ]HUR DQG VPDOOHU 4 IDFWRU 7KHUH LV DQ LQYHUVH UHODWLRQVKLS EHWZHHQ GHSWK RI WUDQVPLVVLRQ ]HUR DQG WKH 4 IDFWRU

B. A single band bandstop filter in Ka-band

,Q WKLV VHFWLRQ D VLQJOH EDQG EDQGVWRS ILOWHU LV GHVLJQHG LQ

.D EDQG 7KH EDQGVWRS ILOWHU LV UHTXLUHG WR KDYH D ODUJH UHMHFWLRQ LQ WKH VWRSEDQG ZLWK WKH FHQWHU IUHTXHQF\ RI *+] DQG OLWWOH LQIOXHQFH RQ RXWVLGH WKH VWRSEDQG 6R WKH ILOWHUKDV JRRG WUDQVPLVVLRQ SHUIRUPDQFHV LQ WKH ORZHU DQG XSSHU SDVVEDQGV &RQVLGHULQJ WKH UHODWLRQVKLS EHWZHHQ WKH GHSWK RI WUDQVPLVVLRQ ]HUR DQGhLI WKH KHLJKWhLV WRR VPDOO WKH GHSWK RI WUDQVPLVVLRQ ]HUR LV QRW GHHS HQRXJK WR REWDLQ D ODUJH UHMHFWLRQLQWKHVWRSEDQGZLWKWKHVDPHRUGHUV2QWKHRWKHU KDQG LI WKH KHLJKWhLV UHODWLYH ODUJH WKH VPDOO 4 IDFWRU ZRXOG OHDG WR D ORZ VHOHFWLYLW\ RI WKH WZR SDVVEDQGV 6R VLJQLILFDQW FRPSURPLVHV DUH LQWURGXFHG DW GHVLJQLQJWKHKHLJKW h +HUHWKHh PP LV VHOHFWHG WR GHVLJQ WKH VLQJOH EDQG EDQGVWRS ILOWHU %\ FDVFDGLQJ WKUHH )655 ORDGHG ZDYHJXLGH FHOOV WKH SURSRVHG ILOWHU LV LOOXVWUDWHG LQ )LJ D 7KH GLVWDQFH EHWZHHQ HDFK WZR )655V LV GHQRWHG E\dZKLFK GHWHUPLQHV WKH FRXSOLQJV DPRQJ WKH UHVRQDWRUV %\ FDUHIXOO\ GHVLJQLQJd WKH VLPXODWLRQ UHVXOWV RI D VDPSOH ZLWK d PP DUH SUHVHQWHG LQ )LJ E 7KH VL]HV RI )655 DUH JLYHQ DV ZHOO 7KH UHMHFWLRQ LQ WKH VWRSEDQG LV PRUH G% DQG WKH UHWXUQ ORVV LQ WKH ORZHU DQG XSSHU SDVVEDQG DUH PRUH WKDQ G% VKRZLQJ WKH ORZHU DQG XSSHU SDVVEDQGV RI EDQGVWRS ILOWHU KDYH JRRG

Frequency (GHz)

E )LJ$VLQJOH EDQG EDQGVWRS ILOWHU ZLWKh PP l PP w PPg PP DQG g PP D 7KH ILOWHU

FRQILJXUDWLRQ E 7KH VLPXODWLRQ UHVXOWV

WUDQVPLVVLRQ SHUIRUPDQFHV 7KLV NLQG RI ILOWHU KDV VKDUS UROO

RII HGJHV 7KH EDQGVWRS ILOWHUV ZLWK GLIIHUHQW VWRSEDQGV FDQ EH IOH[LEO\ GHVLJQHG E\ FKDQJLQJ WKH VL]HV RI WKH )655V 0RUHRYHU E\ FDVFDGLQJ PRUH )655V WKH UHMHFWLRQ OHYHO FDQ EH LPSURYHG IXUWKHU DV ZHOO

C. A dual-band bandstop filter $V ZH NQRZQ WKH HOHFWULFDO OHQJWK GHWHUPLQHV WKH UHVRQDQW

IUHTXHQFLHV 6R GHVLJQLQJ WKH )655 ORDGHG ZDYHJXLGH FHOOV ZLWK GLIIHUHQW VL]HV RI )655V WKH PXOWL EDQG EDQGVWRS ILOWHUV FDQ EH GHVLJQHG )RU H[DPSOH D GXDO EDQG EDQGVWRS ILOWHU LV SURSRVHG DV VKRZQ LQ )LJ D 7KH )655V GHQRWHG E\ )655 DQG )655 ZLWK GLIIHUHQW VL]HV DUH SODFHG DOWHUQDWLYHO\ WR LQWURGXFH WZR GLIIHUHQW VWRSEDQGV ,Q RUGHU WR REWDLQ KLJK VHOHFWLYLW\ WKH KHLJKWV RI )655V DUH IL[HG WR EH PP DV VWDWHG LQ SDUW$7KH )655 DQG )655 KDYH WKH VDPH YDOXHV RI SDUDPHWHUV H[FHSW IRU WKH OHQJWKlDV JLYHQ LQ WKH FDSWLRQ RI )LJ 7KH GLVWDQFHV DUH FDUHIXOO\ GHVLJQHG DQG RSWLPL]HG 6LPXODWLRQ UHVXOWV RI D VDPSOH ZLWK d PP DQGd PP DUH SUHVHQWHG LQ )LJ E 7ULSOH SDVVEDQGV LQ .D EDQG DUH IRUPHG E\ WZR VWRSEDQGV ZKLFK DUH LQWURGXFHG E\ WKH UHVRQDQFHV RI )655 DQG )655 7KH UHMHFWLRQV LQ WKH VWRSEDQGV DUH PRUH WKDQ G% DQG WUDQVPLVVLRQ SHUIRUPDQFHV LQ WKH WKUHH SDVVEDQGV DUH JRRG 7KH WULSOH SDVVEDQGV KDYH WKH DGYDQWDJHV RI KLJK VHOHFWLYLW\ DQG ORZ LQVHUWLRQ ORVV %\ GHVLJQLQJ )655V ZH FDQ GHVLJQ WKH ILOWHUV KDYLQJ WKH UHTXLUHG

Frequency (GHz)

E )LJ$GXDO EDQG EDQGVWRS WULSOH EDQG EDQGSDVV ILOWHU ZLWK 655h PP l PPw PPg PP DQG g PP DQG 655h PP l PPw PPg PP DQG g PP D 7KH 655V RQ VXEVWUDWH E 7KH VLPXODWLRQ UHVXOWV

VWRSEDQGV 6LPLODUO\ E\ FDVFDGLQJ PRUH )655V ZLWK WKH VDPH

VL]HV WKH UHMHFWLRQ FDQ EH LPSURYHG ,Q WKLV .D EDQG H[DPSOH

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

,,, &21&/86,21

,Q WKLV SDSHU D W\SH RI ( SODQH ILOWHU XVLQJ IROGHG VSOLW ULQJ

UHVRQDWRUV )655V KDV EHHQ SURSRVHG )655V DUH DGRSWHG WR

IRU FRPSDFW VL]H 7KH ZDYHJXLGH VHFWLRQ ORDGHG ZLWK D VLQJOH

)655 LQ WKH ( SODQH KDV EHHQ GHVLJQHG WR DQDO\]H WKH GHSWKV

RI WUDQVPLVVLRQ ]HURHV DQG WKH 4 IDFWRUV 7KLV NLQG RI ILOWHU FDQ

EH GHVLJQHG WR LPSOHPHQW PXOWL EDQG EDQGVWRS ILOWHUV IOH[LEO\

6DPSOHV LQ .D EDQG DQG : EDQG DUH SUHVHQWHG WR GHPRQVWUDWH WKH GHVLJQ PHWKRG %\ DGMXVWLQJ WKH VL]HV RI )655V WKH VWRSEDQGV FDQ EH WDUJHWHG DW WKH GHVLUHG IUHTXHQFLHV 7KH FRQYHQWLRQDO ( SODQH WHFKQRORJ\ LV DGRSWHG WR PDNH WKH ILOWHU ZLWK HDV\ IDEULFDWLRQ DQG SDVV SURGXFWLRQ

$&.12:/('*0(17

Frequency (GHz)

)LJ 7KH VLPXODWLRQ UHVXOWV RI D : EDQG ILOWHU ZLWK 655h PP l PP DQGg PP 655h PP l PP DQGg PPd PP DQGd PP

7KLV ZRUN ZDV VXSSRUWHG E\ WKH 1DWLRQDO %DVLF 5HVHDUFK 3URJUDP RI &KLQD 3URJUDP XQGHU *UDQW 1R &% DQG WKH 1DWLRQDO 1DWXUDO 6FLHQFH )RXQGDWLRQ RI &KLQD 16)& XQGHU *UDQW 1R

> @ -(VWHEDQ & &DPDFKR 3HxDORVD-( 3DJH 7 0 0DUWtQ *XHUUHUR DQG

and PropagationYRO SS-DQ

> @ -&DUERQHOO /-5RJOD 9 ( %RULD DQG 5 0DUTXHV &RD[LDO 3UREH ([FLWDWLRQ RI (YDQHVFHQW :DYHJXLGHV /RDGHG ZLWK 6SOLW 5LQJ 5HVRQDWRUVin 36th European Microwave ConferenceSS

> @ $ 6KHONRYQLNRYDQG'%XGLPLU/HIW KDQGHGUHFWDQJXODUZDYHJXLGH EDQGVWRS ILOWHUVMicrow. and Optical Tech. Lett.YRO SS 0D\

> @ %-LWKD & 6 1LPLVKD & .$DQDQGDQ 3 0RKDQDQ DQG . 9DVXGHYDQ 655 ORDGHG ZDYHJXLGH EDQG UHMHFWLRQ ILOWHU ZLWK DGMXVWDEOH EDQGZLGWK Microw. and Optical Tech. Lett.YRO SS-XO

> @ 0 10 .HKQ 2 4XHYHGR 7HUXHO DQG (5DMR ,JOHVLDV 6SOLW ULQJ UHVRQDWRUORDGHGZDYHJXLGHVZLWKPXOWLSOHVWRSEDQGVElectron. Lett YRO S-XQ

> @ 6 )DOODK]DGHK + %DKUDPL DQG 0 7D\DUDQL 9HU\ FRPSDFW EDQGVWRS ZDYHJXLGH ILOWHUV XVLQJ VSOLW ULQJ UHVRQDWRUV DQG SHUWXUEHG TXDUWHU ZDYH WUDQVIRUPHUVElectromagneticsYRO SS