决定R0(r)的常微分方程定解问题 1d「dRo(r) 11 r dr d R0(0)有界o(a)=0 (r) Bo In 1y′ Ro(r) 2 n r >r' 2π0a
Green Function of Helmholtz Eq ... Green Functions for Time-Dependent Problems Separation of Variables Method of Images û½R0(r)~©§½)¯K 1 r d dr r dR0(r) dr = − 1 2πε0 1 r 0 δ(r − r 0 ) R0(0)k. R0(a) = 0 R0(r) = ( A0, r < r0 , B0 ln r a , r > r0 R0(r) = ( − 1 2πε0 ln r 0 a r < r0 − 1 2πε0 ln r a r > r0 C. S. Wu 18ù Green¼ê()
决定Rml()的常微分方程定解问题 1 d/ d Rmi(r) nEor Rm1(0)有界R2m1(a)=0
Green Function of Helmholtz Eq ... Green Functions for Time-Dependent Problems Separation of Variables Method of Images û½Rm1(r)~©§½)¯K h 1 r d dr r d dr − m2 r 2 i Rm1(r) = − δ(r − r 0 ) πε0r 0 cos mφ0 Rm1(0)k. Rm1(a) = 0 Rm1(r) = ( Am1 r a m r < r0 Bm1 hr a m − a r mi r > r0 C. S. Wu 18ù Green¼ê()
决定Rml()的常微分方程定解问题 1 d/ d Rmi(r) nEor Rm1(0)有界R2m1(a)=0 B
Green Function of Helmholtz Eq ... Green Functions for Time-Dependent Problems Separation of Variables Method of Images û½Rm1(r)~©§½)¯K h 1 r d dr r d dr − m2 r 2 i Rm1(r) = − δ(r − r 0 ) πε0r 0 cos mφ0 Rm1(0)k. Rm1(a) = 0 Rm1(r) = ( Am1 r a m r < r0 Bm1 hr a m − a r mi r > r0 C. S. Wu 18ù Green¼ê()
决定Rml()的常微分方程定解问题 1 d/ d Rmi(r) nEor Rm1(0)有界R2m1(a)=0 B dRmi(r r+0 11 Rmi(r) cos m d teO T
Green Function of Helmholtz Eq ... Green Functions for Time-Dependent Problems Separation of Variables Method of Images û½Rm1(r)~©§½)¯K h 1 r d dr r d dr − m2 r 2 i Rm1(r) = − δ(r − r 0 ) πε0r 0 cos mφ0 Rm1(0)k. Rm1(a) = 0 Rm1(r) = ( Am1 r a m r < r0 Bm1 hr a m − a r mi r > r0 Rm1(r) r 0+0 r 0−0 = 0 dRm1(r) dr r 0+0 r 0−0 = − 1 πε0 1 r 0 cos mφ0 C. S. Wu 18ù Green¼ê()
决定Rml()的常微分方程定解问题 1 d/ d Rmi(r) nEor Rm1(0)有界R2m1(a)=0 Ba[()-() 、m 2TEo m a cos mo m1 cos mo 2π∈0m
Green Function of Helmholtz Eq ... Green Functions for Time-Dependent Problems Separation of Variables Method of Images û½Rm1(r)~©§½)¯K h 1 r d dr r d dr − m2 r 2 i Rm1(r) = − δ(r − r 0 ) πε0r 0 cos mφ0 Rm1(0)k. Rm1(a) = 0 Rm1(r) = ( Am1 r a m r < r0 Bm1 hr a m − a r mi r > r0 Am1 = − 1 2πε0 1 m r 0 a m − a r 0 m cos mφ0 Bm1 = − 1 2πε0 1 m r 0 a m cos mφ0 C. S. Wu 18ù Green¼ê()