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时间:2020-03-25
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1、§7.1Mûߧ„âMØb§7.2c&I„M:§7.3?ÏŸøð>®§7.4ho/Ÿ,à…ËöØbIfhogø§7.1Mûߧ„âMØb§7.2c&I„M:§7.3?ÏŸøð>®§7.4ho/ŸOutline§1Mûߧ„âMØb§2c&I„M:§3?ÏŸøl>®§4hogø§7.1Mûߧ„âMØb§7.2c&I„M:§7.3?ÏŸøð>®§7.4ho/Ÿ MûßâM„ØbMO„(U˜1(x;y)!U˜2(x;y)â„•U˜2(x;y)!U˜(x0
2、;y0)xU˜(x00 iU˜ikr;y)2(x;y)edxdylr0§7.1Mûߧ„âMØb§7.2c&I„M:§7.3?ÏŸøð>®§7.4ho/Ÿ Mûß9nOýpU˜2(x;y)˜t(x;y)=U˜1(x;y)x00 i˜t(x;y)U˜ikr)U˜(x;y)1(x;y)edxdylr0ùâ„M„nMÏðIâ(•Ç-1ŽÐÍàâM/EøMÑØv:Žê1•:ÑM°a‚œ$*MOøàvOýpøX˜t(x;y)=˜t1˜t2§7.1Mûߧ„âMØb§7.2c&I„M:§7
3、.3?ÏŸøð>®§7.4ho/Ÿ Mûßåûß᳕taöxU˜(x00 i˜t(x;y)U˜ikr;y)=1(x;y)edxdylf(x0 x)2(y0 y)2(•taörz++ï€:2z2z00 iikzxik((x0 x)2+(y0 y)2)U˜(x;y)=e˜t(x;y)U˜1(x;y)e2z2zdxdylzS=)ò…3Mï§7.1Mûߧ„âMØb§7.2c&I„M:§7.3?ÏŸøð>®§7.4ho/Ÿ Mûßx2+y2å¥6OÝMO³Üá³Ü:aözl(x0 x)2(y0
4、 y)2krk(z++)2z2zx02+y02xx0+yy0k(z+ )2zzMïØ:000 iik(z+x02+y02)x ikxx0+yy0U˜(x;y)=e2z˜t(x;y)U˜1(x;y)exdxdylzS=)+Œ9Mï=)U˜1/sbâÓœ/Oýp„…ËöØb§7.1Mûߧ„âMØb§7.2c&I„M:§7.3?ÏŸøð>®§7.4ho/ŸŒ„øMØbýp(Ïûß-$*(P6âMØbâM(9ØZc-Ã)(OýpÏð(A2(x;y)eij2(x;y);(³…)˜t(x;y)=A1(
5、x;y)eij1(x;y)0;(³)§7.1Mûߧ„âMØb§7.2c&I„M:§7.3?ÏŸøð>®§7.4ho/ŸŒ„øMØbýpýeÍ86A1A2³…˜tL(x;y)ei(j2(x;y) j1(x;y))=eijL(x;y)•tÑ<„jL(x;y)=k(D1(x;y)+D2(x;y)+nd(x;y))=k(nd0 (n 1)(D1+D2))q22x+yD1(x;y)=r1 r2 (x2+y2)12r1q22x+yD2(x;y)= r2 r2 (x2+y2) 22r2§7.1Mûߧ„âM
6、Øb§7.2c&I„M:§7.3?ÏŸøð>®§7.4ho/ŸŒ„øMØbýpãe—n 11122x2+y2jL(x;y)= k( )(x+y)= k2r1r22FÙÌe»†x;yàs„knd0y1F=;c/èl(n 1)(1 1)r1r2x2+y2 ik)˜tL(x;y)=e2F(ÐÍâMØb„:‚œú°†b„Œ!øûàP(( âMvžEHœøSŽåâφ *„Zc¡£:/&žiX(§7.1Mûߧ„âMØb§7.2c&I„M:§7.3?ÏŸøð>®§7.4ho/ŸŒ
7、„øMØbýpù *U˜ú(x;y)=U˜e(x;y)˜tL(x;y)x2+y2 ik=U˜e(x;y)e2Fikzx2+y2x2+y2Aeik ik=e2se2Fzikzx2+y2Ae ik=e2s0z111ÙÌ= s0Fsc/دb„•tÏl§7.1Mûߧ„âMØb§7.2c&I„M:§7.3?ÏŸøð>®§7.4ho/Ÿñ„øMØbýpñ„(OlI_ *¹„sLI_Øb:æ *¹„sLI_ƒ”Sù”¿'øûàPñøûàPjP=k(D+nd)=knd0 k(n 1)D˜t
8、ik(n 1)ax(Dax;e»knd)P(x;y)e0ô ,0˜t(x;y)e ik(n 1)(a1x+a2y)Pa1;a2/LbÕ¿¹„$*¹Y&„Y
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