毫米波频段频率选择表面的分析计算

毫米波频段频率选择表面的分析计算 ???*???????????!????????E??????? ?????? ????????*????????????????????????????????????? 314033?? ?? ?????*???????????????????!???? FDTD E?E?E??????????*?????????????!?????????????????? ?????????????????? FSS ??????????E?E??!!????????EE??????? FDTD ????????????????????????????!? ???????????*?????????!????????FDTD???????!???????????EE? Ana lys is of Millime te r Wa ve Fre que ncy S e le ctive S urfa ce JIANG Shun- xi (No.36 Research Institute of CETC, Jiaxing, Zhejiang 314033, China) ??In this paper, the FDTD method with auxiliary field quantity to analysis of the millimeter- waveAbstr act frequency selective surface (FSS) is presented. Then a method that we call Fit Circuit Method (FCM) is given. This method can obtain the frequency response of a muti- layer FSS quickly. The result calculated by this method is agree well with the result calculated by the full wave method. ??millimeter- wave??FSS(frequency select surface)??FDTD ??auxiliary field quantity??FCM (Fit CircuitKeywor ds Method) 1???? [ 1 ]????????????????!? E??????? Floquet ??????E???????????????????E?E????? ???????????????????????????????????????????????? ??????????????????????!??????*?????????? FDTD ?? ???????!????E?E????? FSS ???????????????????????? ??????E?E??!!????????EE????????? FSS ???????????? ???????? FSS ??????????!????????????!?????????*?????????????????????? ????E?????!???????????E?E???E?!?????????E?!??????? ?????!????????Frequency Selective Surfaces ,FSS???? [ 1- 2 ]????????????????????????E???!???????????????????????????????????????*????????? ????????????!?????????????*?!????????!!?????????!? ????????????????????????????????????E????????? ????????????????????????????!??????!???????????? */???????????????/?????????????????????????????? ?????!????????????E???????????????*???E??? ???????/????*/??????!???????????????????????!????? ???????????*??????????????????*/?????/!??????/!?E? ?E?/????????E????????E?????????????????????????? ??!??????????????????????????*???????!?????????? 2FDTD ?????????!??E? [2- 4]FDTD ????????!?????????!????????????????????? ????!????????????!????????????????????????????!? ??????????E?????????????????????????????*???!? ??????????2007- 08- 03 ???????????!?? P!?Q ???/??E????????????????? ??????????6???????????????????! E ?????! H ????!? ????4????????5????E??????????? Maxwell E?????????FDTD ????????????E??????????????????????????????? [ 2- 5 ]??????Periodic Boundary Condition ?PBC??!???????????????? ?????!??????E??????? FDTD ?????????????????????? ??????,????????*???????????E?E?E???????*/!??????????????????????????????????!???????????????? ???????????????? t ?????????????? P Q ?????/E????? ?????????????!????????????????E????????????????? t ??????!? ???!??*???????????????2.1 ?????!??E????? ???????????!?????!???????????????????? ??1?? ??7?? ?!?????????! P ???????????! Q???? P!?Q ?? E!?H ?????????????? ??2?? ??8?? !?!???!?!?!?=ksin!cos"k=ksin!sin",k=kcos!????xyzk ?? x!?y ????????P ?? Q ????????????z E?????????E? ?????? P ?? Q ???????????????????????????????????? ???????????? P!?Q ??????????????????????????????????????E???*???7??!???8??????!?X!?????????!?Xa!???PBC??y E????? Q ??*???????????!??????????????????????????? ??3????9?? ?????? N ?? y E?????????????????????!??? x E????? P ?????? ????*?????????!? ?? P ?? Q ???? Maxwell E??????????????? P ?? Q ??????E?E????? ??10?? ??4?? ??11????5?? ??????????10??????????4????????11??????????5???????? ????????????????12??????13??!???????2??*???????E????????????????????????????!?? E!?H ?????????!?? P!?Q ?????????????? ??12????6?? ???? C ??????????????????????????!? ????????????!???E????E FSS ???????????? D= 12mm?? d= 6mm??L= 2mm???????????????? z E????? TM ??!???13?? ??????????12??!???13??????????????????????E??????? 3 ??E????E???? FSS ??E??????? ?????? ?? ??????E????????????? Yee ???????? n P Q ?????????? FDTD ??????E?E?????????E????????? n+??????E???????E?????????????????????????????!????? ???? FDTD ???????????? ???*[5]?? FDTD ?????????????*[5]?? MOM ??????????1?? ??????E???????!????? ?? ???/?????? QPQPa a a a 2 E?????????????10??????11?????? ?? ???/E???????????P Q ???????????????? ????????????????????????????PQa a 3 ??????????????????????????????????E????E??1FSS ??????E????????????????**/????????????E??? ?????????????????????????????*[5]?? MOM E????? ?? ?? ?? ?? ?? ?? ?? ?? !? ?? ?? ?? ?? ?? ?? E? ?? ?E FSS ???????????????????????????????? ???/E???????P Q 2 12.5GHz *??????????????????????????????????????? ??????!????????????????????????????????????????? ????????????!? 1 ??????????????????????????????????????????????2 ??????!????????E???????????????????????????????? ????!? ???????????????!???????????????????????????? ??E?E???????E?E??????????*????????E????? ?!?? ?!?????????? ?????? ?? ??????E???????????PQQn P Q P11 22aa aa ??????????????????????????????!????????????????? 1 ?? ???? ?? ??????????+ ???????????? Q P Q nP 1212aa aa 2 1??10??????11??,???? ?? ?????? ?? ?? + P QP Q n??????2?? 4 ??E????E??*? FSS ??????????????????*???????????????????E???????????????????!? 2.2 ???????? 2 ?????? 1 ?????????????????????????????????? ????*????? FSS!??? 4 ???????? 2 ?????????????????? ???????????????? 3 ??????????????????E????????? ??????????????????????E???????????????E????????? ??????????E?????????????!? ??E????E FSS ?????????????? 1 ????,?????????? ?????? 2 ????!???E????E FSS ?????????????????????? ?????????????????????????????? FSS ?????????????? ?????????????????????*????????E????E FSS ???????? ??????!????????????????????!???????????????????????????? 3???????EE????????? FS S ???????? 1 ???? 2 ??????????E??????? PEC?????????? PEC ?????!????????????????E????E FSS ?? x!?y ?????? ??????????????????????E????????????????????? [ 6- 7 ]??????????!????????? FSS ?????????????? FSS ?? ??????????E?E?E???????????????????!????????????? ??E??????????????? FSS ??E?E??!!????????????EE????????????????!???????????????????????????????? ??Fit Circuit Method ??FCM?????????????????? FSS ?????? ???????????????????????????????? FSS ???????????? ?????????? FSS ?????????????????????????? FSS ???? 1 ??E????E?????????? FSS ?? 2 ??E????E????????*? FSS????????!? ?? FSS ??????????????*/?????????? 10 ?????????????? ??????????????!? ??????????????E?E??????????? FSS ??????????????!? ????????????????????E????????? FSS ???????? ?/?????????????*[7- ?????????????????????? 5 6 W2=1.1mm!?D=0.3mm!????? FSS ?????????????? S ??????!??????????????? TM ???????!E????? x ??????????E??????????????????? z E????????? 8]????????????????!?????E??? ???????????????????????? ??????!?????????d1=1.88mm!?d2=1.0mm!?W1=0.2mm!? ???? E????? ??!? ???? 10 ???? FSS ?? 9 ?????????????????????? ???????????? ????????????????????????????!??????????????? ?????????E??????E?E??????????????????????????????? 5 ????E? FSS 6 ????????????E? FSS ??????????=30?????????????????/!?*?! 11 ?????????? FDTD E?E????????????? FSS ???? =30????????????????!????? 8 ?????????E??????????+?! ???? FDTD E?E??????????????????????? FSS ???? ???? ???????????????/*?????????14???? TM ???????? ?? ?????15???? TE ?????????? ????????????????????? ???????????????? 7 ??????????!??????????????????? ???????????????????????? 8 ?????????E????!??????? ???????????????E???????????????????????????????? zzz???????? ????????????????!?0 00???????????????E??????????C1=5.559e- 14 (F)!?L1=2. 075e- 11(H)!?L2=0.05e- 10(H)!?C2=19e- 14(F)!??????????? ???????????????? 9 ?????????????E?????/?????????? ???????????! S=1.7mm???????????????E???????????? ???????? FDTD ?????????? FSS ?????????? S=1.7mm ?? ?????????????????????????????????????????????? 12 ????!???????????????????????????????????E?E????? ?????? FSS ??????????????????!? k0z??14??=z0!?!"0 $!?#0??15??= z0k0z 2% =!?cos= !?cos=!?!?cos??16??kk!!' ()!000 0z!& ?????????*??????????????????!????????????????? FSS ???????????????????????????? 7??????????!? ???????E????????????C1=9.384e- 14??F??!?L1=1.258e- 11????????????????????????????????????????!??????/ ????????L1!?L2??????????C1!?C2?????!?????????????????? ???? ??H??!?L2=0.005e- 10??H??!?C2=19e- 14??F??!? ?? 11 ???? FSS??30TM ???? ?? 12 ???? FSS??30TM?!?! ?????????????? ?????????????????? ?????????????????? FSS ???????/?????????????? ???? FSS???????????????????????????????????????? ?E?????????????????????????E??E?E????????? FSS ?? ??????????!? 4?????? 7 ????????E? FSS ?? ?? 8 ????????E? FSS?????????????? ?????????E?????????????????????!?????? FDTD ???? FSS ??????????????????????????PBC???????????????????? ???/??????????????*??????**????????????????????? ???????????????????E?????????????????/*??? ??!???????????????E??? FSS ???????????????????EE??? ??????? ??????????????????? 9 ????!??????????? ZS ?????E?????????????????????? FDTD E?E?????????????0??????E?E????????????????? FSS ???????????????? ??[ 5 ] FSS ????????????E????????? FSS ???????????????? ??????!? R oden J A??Gedney S D??Kesler M P .Time- Domain???????*??[ 6 ]Analysis of Periodic structures at O blique Incidence :or- thogonal and N onorthogonal FDTD Implementation [J]. IEEE Transactions on Microwave Theory and Techniques,[ 1 ] 1998,46(4): 420 - 427. ?????????????????/??.?????????!?????????????????? ????????[J].??????????????2004??19(6)??663- 668. Callaghan P??Parker E A. Tuning Interactions of Cascad- [ 7 ]ed- Frequency Selective- slot Arrays [J]. Microwaves, An- tennas and Propagation, IEE Proceedings - ??I994,141 (4):[ 2 ]290- 294.??????.???*??*?????????????[M] .?? 2 ??.?????????? ????????????2006.Cahill R , Gamble H S, Fusco V F, Vardaxoglou J C, et al. H igh performance micromachined MM- wave FSS [C]/ / IEE.11th lntertional Conference on Antennas and Propa-gation, April 2001: 331- 335. arms P??Mittra R ??Wai Ko .Implementation of the Peri- odic Boundary Condation in the Finite- difference Time- domain Algorithm for FSS Structures [J]. IEEEH Transactions on Antennas and Propagation?1994???42 (9):[ 8 ] 1317 - 1324.[ 3 ]Tsay W J??Pozar D M. Application of the FDTD technique to periodic problems inscattering and radiation [J]. IEEE Microwave and Guided Wave Letters??1993??3 (8)?? 250- 252. Kao Y- C A??A R G.A Finite Difference- Time Domain Approach for Frequency Selective Surfaces at O blique In- cidence [C]/ / IEEE. Antennas and Propagation Society[ 4 ]International Symposium, 21- 26 Jul 1996?1432 - ?1435.*/???????? ??????(1981- ),??, ??????????????????????????????2007 ?????????????????????!??????????*??????/???????????? ?E??????*/!? ???????????????????????????????????????? ??????????E?????????E????? ?????/??!??????????????????!??*/??????????????2007 ?? 7 ?? 26 ????????????????????????????????????E????????????????????????????????????/ ??????E???!??????/??????????E????????????E???? ???????/????????????????!????????/?????/??E??? *?????????????????????????!????????????/?????? ??????????????????*?????????E????????????????? ??????????????????????????!??????????????????? ????????????????????*????*???????????????????? ???????????????????????????/?????/??????????E? ??E??????????????????????????????????????????? ????????E???????????????!??????????/?/????*??? ????????????????????????!????????????????????? ????!???????????????????????????????!????????????????????? ????????E??????????????? 60 ????!???????????????????????????????E?????????E??? ????????????????????!???????????*????????????? ????????????????????????????????????????*??????? ????????????????????????*????????????????????? ?????????????????????!??????????*?*??????????? ???????????????!???/*??????????????????????!?? ??????????????!???????!?????!???????!????!??!??*?? ??!???????!????????????????????????????????????? ?????????????/*?????????????????????????????????????????*?*!?????? ??E???????E??????????????????????????????????? ????????!???????!?????????????????????????E????? ??E???*????????????*!?????????????*?????E????/?????????????????? 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