2X2 Matrix Formulation For a Thin Film. D1, D2 and D3 are the dynamical matrices andgiven by11for s wave(nαcosα-nαcosoDα:(cosαcosOαfor p wavenα-nα Where α = 1,2,3
2Χ2 Matrix Formulation For a Thin Film • D1, D2 and D3 are the dynamical matrices and given by • Where α = 1,2,3
2X2 Matrix Formulation For a Thin Film. The matrices D12 and D23 may be regards astransmission matrices that link the amplitudeof the waves on the two sides of the interfaceandaregivenby11K2Xk(11212K1XK1XforswaveD1211K2XK2X(112KixK11n2k1xn?k1122n2k2xn4k2forpwaven2k1nk金国-1
2Χ2 Matrix Formulation For a Thin Film • The matrices D12 and D23 may be regards as transmission matrices that link the amplitude of the waves on the two sides of the interface and are given by
2X2 Matrix Formulation For a Thin FilmTheexpressionfor D23 are similarto those ofD12.The equations can be written formally as1(1r12D121(r12t12
2Χ2 Matrix Formulation For a Thin Film • The expression for D23 are similar to those of D12. • The equations can be written formally as
2X2 Matrix Formulation For a Thin Film The amplitudes are related by(A3)(A1=D-1D2P2D21D3B3(B1
2Χ2 Matrix Formulation For a Thin Film • The amplitudes are related by