多層誘電体基板の地導体面に磁流源がある場合

多層誘電体基板の地導体面に磁流源がある場合

　

z = 0

の境界条件より，

\begin{matrix} (1) & {\tilde{E}}_{1} (0) = - \tilde{M} \end{matrix}

このとき，

\begin{array}{rcl} {\tilde{H}}_{1} (0) & = & Y_{i n}^{(+)} {\tilde{E}}_{1} (0) = - Y_{i n}^{(+)} \tilde{M} \\ (2) & \equiv & {\tilde{Y}}^{(0)} \tilde{M} \end{array}

ここで，

\begin{matrix} (3) & {\tilde{Y}}^{(0)} = - Y_{i n}^{(+)} = - \frac{F_{21}^{(+)} + F_{22}^{(+)} Y_{2}}{F_{11}^{(+)} + F_{12}^{(+)} Y_{2}} \end{matrix}

多層誘電体基板の地導体面に磁流源がある場合

また，

\begin{array}{rcl} {\tilde{H}}_{1} (d_{1}) & = & F_{21}^{(+)'} {\tilde{E}}_{1} (0) + F_{22}^{(+)'} {\tilde{H}}_{1} (0) \\ = & F_{21}^{(+)'} (- \tilde{M}) + F_{22}^{(+)'} (- \tilde{M} Y_{i n}^{(+)}) \\ = & - (F_{21}^{(+)'} + F_{22}^{(+)'} Y_{i n}^{(+)}) \tilde{M} \\ (4) & \equiv & {\tilde{Y}}^{(d_{1})} \tilde{M} \end{array}

\begin{array}{rcl} {\tilde{E}}_{1} (d_{1}) & = & {\tilde{E}}_{2} (d_{1}) = Z_{2} {\tilde{H}}_{2} (d_{1}) \\ = & Z_{2} {\tilde{H}}_{1} (d_{1}) = Z_{2} {\tilde{Y}}^{(d_{1})} \tilde{M} \\ (5) & \equiv & {\tilde{Q}}^{(d_{1})} \tilde{M} \end{array}

ここで，

\begin{array}{rcl} (6) & {\tilde{Y}}^{(d_{1})} & = & - (F_{21}^{(+)'} + F_{22}^{(+)'} Y_{i n}^{(+)}) \\ {\tilde{Q}}^{(d_{1})} & = & Z_{2} {\tilde{Y}}^{(d_{1})} \\ (7) & = & - Z_{2} (F_{21}^{(+)'} + F_{22}^{(+)'} Y_{i n}^{(+)}) \end{array}