Ansoft??????? Ansoft HFSS????????

1
Ansoft??????? Ansoft HFSS????????

• ??? ??

????????Ansoft????
2
??? ?? ??? ???????????????? 2.1
????????????? 2.2 ?????????????????
??????? 2.3 ?????????? 2.4 ????????? ???
?????????????????? 3.1 ????? 3.2 ??????
3
?????

• Ansoft HFSS?????????????????,???????????
  ????,??????????????????,????????????Ansoft
  HFSS??????????????????
• ??????????????Ansoft
  HFSS????????????,?????????????????????????????????
  ?????

4
??? ????????????????

• ???????????????????????,???40??????????
  ??40?????,?50?????????????????????????????

5
2.1 ?????????????

• ??????????????????????????????,??????O??
  ??????(????????????????????????????)????????G?????
  ?(???????Dirichlet???????Neumann??,?????????????)?
  ???????????
• 
  (2.1)
• ??, ?????, ?????,?????

6
?????????,????????????????????????????????????????
,???????????????,???????????

(2.2) ?????????



(2.3)



7


??
????????(????????), ??????????????,????????
???

(2.4) ??, ??????O??????,
????????????????????

(2.5)
8
??,?(2.3)??

(2.6) ????????????????????????
????????,?(2.6)???????
(2.7)
????
(2.8) ????

(2.9)
9
2.2 ???????????????? ????????

• ?????????????????????????????????
• (1)??????????????????????????????????,??????????
  ??????
• (2)??????????????,????(????????)????????????????
  ,?????????????,????????????,?????????????????

10
????,??????????????????????????????????????
???????????????????????????????????????????????
?????????????e??????,??2.1??
11
??????????x?????,?????????????????????

(2.10) ??????

(2.11) ??(2.10)?????????,??(2.3)?????
????????????

(2.12)
12
??2.2??,?????????????N?(??),?????????1?2
?????(??),???????,??,???????????????????
13
???????????????????????,??????????????????

(2.13) ???,????? ?
????????? ? ,?(2.13)???????(?????????????????
??)
(2.14) ?? ,
, , ,
14
?????????????,??(2.12)?????

(2.15) ??,k????????,K????????,
??k?????????????????,??????????
(i1,2)?????,????????????,??????

(2.16) ??,n??????,N???????
15
???????????
(2.17)

(2.18) ?????,???????,
????????????(2.16)?????????????

(2.19)
16


(2.19)
?????????2.1???????????????2.1??????????3
????,?????????? , ? (???? ?
????????)????(2.19)?????1????????????????3????????
??

(2.20)
17
??(2.19)?????2????????????????
3??????????,????????

(2.21)
18
??(2.21)???????? ?
,?????????

(2.22) ???????? ?
19
????????????????????????? (1)????????????,??????
????????????,?????????? (2)?????????????????,?????
??????,????????????????
??(???????)? (3)???????????????????????
??,????????????????????
????,???????????,?????? ???????

20
????,???????????????????? (1)??????????????,????
????,??????????,??????????????????????????????????
?????????????,???????????,?????????????,??????????
??????????Ansoft HFSS????????????,???????????????
21
(2)???????????????????????????????,???????????????
???????????????????????????,??????????????????????
???,?????????Ansoft HFSS??????????????,???????????

22
(3)????????Maxwell??????????????,?????????????????
?,??????????????????????????,??,???????????????,??
??????????????????? (4)???????????????????????????
?????????????
(2.23) ??

(2.24)
23
??(2.23)?????,???????????????????????????????????
????,????????????????????????????????????(2.24)???
???,?????????????????????????,????????????????????
??????????????????,???? ??,?? ????
???,??????????????????????
???,????2.4???????
24
2.3 ??????????

• ?????,?????????????????????????????????
  ???,???????????????????????????????,??????????????
  ?????????,???????????????,Ansoft
  HFSS????????????????,?????????????????????

25
2.3.1 ??????

• ?????,????????????????????????,??,?????
  ?????????,????????????????????????????????????????
  ????(????????????????????????)???,Ansoft
  HFSS????????
• 
  (2.25)
• ?? ?????????,
  (?abc3d???)? ???????, ????????,
  ?????????(????????)?

26
2.3.2 ??????

• ??????????????,?????????
• 
  (2.26)
• ???????,??????????????????,????????????
  ?

27
2.3.3 ??????

• ??????????????????????,?????????????????
  ??????,???????????????,???????????????????????????
  ??????????????(2.3)??????????????????????,????????
  ??????????????????,??,????????????????????????????
  ?Ansoft HFSS?????????????,???????
  80?????????????????????????

?2.3 Ansoft HFSS??????????
28
?????????????????????? ,????????????????????
?????,????Ansoft HFSS????????,????????????????????
?????? ???2.4???????????? ?????

(2.27)

?2.4
?????
29
??????????? (?????)???(i1,,4)???,????
??
(2.28) ??????
?
(2.29)

(???????)(2.30)
30
? ???????

(2.31)

(2.32)



31

(2.33)

(2.34)
32
???????????????????,???? ??????????????????
?????,? ??????????????,?????????? ????????????????
????????? ????????,???????????,???? ???????
33
2.3.4 ????????????? ???????????????

• ???????????????(2.26)?,??????????????????
  ???????????????,?????????
  ?????,????????,???????????????????(2.25)????????,(
  2.26)?????(2.25)?????,(2.25)??????????(????
  ??????),??????????????????????????,
  ?????????????????

34
???????????????????????????????????????????
????????,?????????????????,????????????????

(2.35) ????????,????????,??????
??????,????????????

(2.36) ?????????????,???????????,????????,
????????????????
35
???????????????????????? ?????????,?????????
??????? ??,???????????,??????????? ???,?????????,?
?????????,? ?????????????????????,???? ??,????????
???,??????????? ??,??,?????,?????????????? ???
36
2.3.5 ?????

• ????80????,???????????????????????????A
  nsoft HFSS????????(????????)???,???????????
• ??????
• 
  (2.37)
• ??,????
• ,
  (2.38)

37
??,?? ?????1????2????????
? ???1??1?????2??0?????, ????2??1?????1??????,??,
, ??,
??????1?2???????
(2.39)
??? ???(1,2)????????,???5??????????
38
????????1,????????????

(2.40) ???????i???????

(2.41) ?????????? ? ????2.1??
39
?2.1 ??????????
?? ?? ??
1 1 2
2 1 3
3 1 4
4 2 3
5 4 2
6 3 4
40
?????????,?????(2.26)?????????????????

(2.42) ??, (i1,,6)??????????
???Ansoft HFSS???????(???0th order basis
function)?????,???????????????????,?????(?(2.38)?)
,?????????????,??????????,????????????????????????
????
41
?????????????????,?????? ??????,????????????
????? ????????????,???????????? ?????,??,????,????
??????? ?,??????????????????????? ??????????????,?
????????? ???????????????????
42
2.4 ?????????

• ????????????????????????,???????????????
  ??????????????
• 
  (2.42)
• ??????A???nn??,x????????,b??????????????????
  ???????,?????????????(???????????????)??????,?????
  ?????????,?????????????????????????,?????2.2????,?
  ????????????????????????????????????,??????

43
?????????,?????????????????15?,???????????,?????,?
??????8???,??,????10000???????,????810000????????
???????????????????,??????????????????????????????
,???????????????????????????????,????????,????????
?????????,????????????????????????,???????????????
????????
44
??????????????,????????? Ansoft
HFSS??????????????????? ????????????
45
2.4.1 ???????????????

??(2.42)?????????b????,????????,????????????
???A??,??????????????????,Ansoft
HFSS????????????,LU???????????,???????????????????
??,?????????LU?????
46
????????? ALU
(2.43) ??,L????????,U???????
????,??? Lyb
(2.44) ???? Uxy

(2.45) ????(2.42)??????L????????,y???????????????

(2.46)

(2.47)
47
??,x????????????

(2.48)
(2.49)
???????????????? ,?????????????????????????
???????????????????,????????Ansoft
HFSS???????????? ?
48
2.4.2 ???????????????

• ??????????????????????????,????????????
  ?????????????????????????????????,????????????????
  ?????,???????????????????????????Ansoft
  HFSS???????,???????????????

49
2.4.3 ???????

• ??(2.42)?????????b???,?????????????????
  ???????????????????
• Ax?x
  (2.50)
• ??,A???nn??,x?????,????????????,???????
• 
  (2.51)
• (2.50)?????????????,I???????????,??????????,??
  ????????,??????????????

50
????????????????????? Ax?Bx
(2.52)
???,???B???,??L???????,?????????????????

(2.53) Lanczos??????????????????
????,?????Ansoft HFSS?solver????
51
2.4.4 Ansoft HFSS????????

• ????????????,??????????????????????????
  ?????,???????,????????????,?????????,?????????????
  ?????????????????,????????????????????????????????
  ????,Ansoft HFSS??????????,??2.5?????????????????,
  ?????????????,?????????????????,???????,??????,???
  ???????

52
?2.5 Ansoft HFSS????????
53
??? ??????????????????

• Ansoft HFSS?????????????????
• ?????,??????????????????
• ??????????????

54
3.1 ?????

• Ansoft HFSS???????????????????????????
  ???,?????????????????,????,????S??????????????????
  ?Ansoft HFSS
• ????????????????,????
• ???????????,??????Ansoft HFSS??????S???????,?
  ????????????????

55
3.1.1 Ansoft HFSS?S?????

• ???????????????????????????,???????????
  ???????????????????S???????????????????????????,??
  ????????S?????
• 
  (3.1)
• 
  
  

56
Ansoft HFSS?????????? ??
???i????,????? ?????,??
??????(??????????????????0,????????90)?
???i????,????? ?????,?? ????????????????
?????j?????????????i???????
?????,Ansoft HFSS???S?????????,????S??????S??,????
????????S???
57
3.1.2 Ansoft HFSS????????? ?????

• Ansoft HFSS???????? , ?
  ??????,???????????
• ????P???I????
• 
  (3.2)
• ?????P???I????????????????,??P?????
• 
  (3.3)
• s????????

58
??I?????

(3.4) l??????????????????????,Ansoft HFSS?????
????P???V???

(3.5) ????P????(3.3)???,??V????

(3.6) ???????????????????
????????????
(3.7)
59
????,??TEM???,Ansoft HFSS????
??????????????,Ansoft HFSS????
?????????????????????,Ansoft HFSS????
??????????
60
3.1.3 Ansoft HFSS?S??????1??
?????

• ?????????????????,S??????????????S?????
  ,?????,???????S???????1???,????????????
• ????????????????????????????,Ansoft
  HFSS?S????????????,??????????????????S????????????
  ,????????????S???

61
??????????????????????, ??????????????????
??????? ????????,???????????????? ??????????????
??????????? ?????????????
62
3.2 ??????

• ???????????,?????????????????????,??????
  ?????????????,??????????????????????????,?????????
  ????????????????????????,?????????????????????????
  ,???????????????????????

63
???????????????????????????,???????????????
???????,??????????????????????????????????????????
????????????????????????????,?????????????????????
??????????,??????????????????,???????????????????
64
??????????Ansoft HFSS???????? ??????,???????
??????,???? ???????????????????????,? ??????????
??????,???????? ????????,????????,??????
65
????????????(PML)???????????????,???????????
?? PML?????????????,????????????????

(3.8)
(3.9)
66
???????????PML??????????,PML??????????????????,?

(3.10) ??
(3.11)
67
?????????????

(3.12)

(3.13) ??,
??
(3.14)

(3.15)

(3.16)
68
??,????a,b?c???????????,? ????????????,????
?????PML? ?????????,???PML?????????? ???
69
???3???a,b?c?????,????
(3.17) ?????PML??????????a???
?,a???
(3.18)