照人学 Fudan University Transfer Matrix Method In Solving EM Problem WNBOIN PO oduced by Yaoxuan Li, Weijia Wang, Shaojie Ma Presented by Y.X. Li
QUTLINE Introducing Transfer Matrix in Solving Laplace Equation 2/ General Properties for TMM in Multi-layer Shell 3 General use in EM Wave Propagating in Multi-layer
OUTLINE 1 Introducing Transfer Matrix in Solving Laplace Equation 2 General Properties for TMM in Multi-layer Shell 3 General use in EM Wave Propagating in Multi-layer
Introducing Transfer Matrix in Solving Laplace Equation 2/General Properties for TMM in Multi-layer Shell General use in EM Wave Propagating in Multi-layer
1 Introducing Transfer Matrix in Solving Laplace Equation 2 General Properties for TMM in Multi-layer Shell 3 General use in EM Wave Propagating in Multi-layer
INTRODUCING TRANSFER MATRIX IN SOLVING LAPLACE EQUATION x Consider a series of co-central spherical shells with En, at the nth shell, and the radius between the nth and n+ 1th level is R n,n+1
INTRODUCING TRANSFER MATRIX IN SOLVING LAPLACE EQUATION Consider a series of co-central spherical shells with εn , at the nth shell, and the radius between the nth and n+1th level is Rn,n+1
INTRODUCING TRANSFER MATRIX IN SOLVING LAPLACE EQUATION x We see a simple example first We apply a uniform field E=Eoex, and then solve the Laplace equation in the spherical coordinate, we got solutions for the 1st order inducing field B (A, r+- n)cos 6 and boundary conditions n-1 ar O at r= R n-1
INTRODUCING TRANSFER MATRIX IN SOLVING LAPLACE EQUATION We see a simple example first. We apply a uniform field E=E0ex , and then solve the Laplace equation in the spherical coordinate, we got solutions for the 1 st order inducing field and boundary conditions , at r = Rn-1,n 2 ( ) cos n n n B A r r = + n n −1 = 1 1 n n n n r r − − =