% <PLAINTEXT>
% $BNL;RJ*M}3X(B : $B1i=,LdBj(B Q2-1 Q2-2 Q1-6 Q1-7 $B2rEz(B
% $B:n(B  $B@.(B  $B<T(B : h9410159 $BJ?Ln(B $B4n1Q(B
% $B:n@.G/7nF|(B : 95/12/25
% $BEE;R%a!<%k(B : h9410159@edu.cc.uec.ac.jp
%
% \mondai{$B:n@.<T(B}{$B:n@.G/7nF|(B}{$BEE;R%a!<%k(B}{$BLdBjHV9f(B}{$BLdBjJ8(B}{$B2rEz(B}
%
% $BNL;RNO3X(B $B1i=,LdBj$H2rEz(B

% Q2-2 $BLdBj(B
\mondai
{h9410159 $BJ?Ln(B $B4n1Q(B}
{95/12/25}
{h9410159@edu.cc.uec.ac.jp}
{2-2}
{$B?^#2(B($B652J=q(Bp.21$B;2>H(B)$B$N$h$&$K!"I}(B $a$ $B$N#28D$N%9%j%C%H$,(B $d$ $B$@$1N%$l$F$$$k!#$3$3$KGH?t(B $ k = 2\pi / \lambda $ $B$NJ?LLGH$,?JF~$7$?!#$3$l$r(B $L$ $B$@$1N%$l$?%9%/%j!<%s>e$G$N(B $x$ $B$@$1N%$l$?E@$G$N?6I}(B $F(x)$ $B$O!"(B2.1$B$G5a$a$?(B $f(x)$ $B$rMQ$$$F!"(B

\begin{equation}
 F(x) = f(x) \sum_{n=0}^{1} e^{indkx/L}
\end{equation}
$B$H6a;wE*$K=q$1$k$3$H$r<($;!#$^$?!"$3$N(B $F(x)$ $B$H6/EY(B $I_{2}(x) = |F(x)|^2 $ $B$r5a$a$h!#(B
}
{
$B652J=q$N?^$+$iL@$i$+$J$h$&$K!"LdBj(B2-1 $B$G$O(B $y=0$ $B$+$i(B $y=a$ 
$B$^$G9T$C$F$$$?@QJ,$r!"K\Ld$G$O(B $y=0$ $B$+$i(B $y=a$ $B$^$G$N@QJ,$H(B 
$y=d$ $B$+$i(B $y=a+d$ $B$^$G$N@QJ,$NOB$N7A$KJQ$($l$P$h$$!#$9$J$o(B
$B$A!"LdBj(B2-1 $B$N2r$rMxMQ$9$k$H?6I}(B $F(x)$ $B$O(B

$ \displaystyle F(x) = C \int_{0}^{a} e^{ikyx/L} dy + C \int_{d}^{a+d} e^{ikyx/L} dy = C \int_{0}^{a} e^{ikyx/L} dy + C \int_{0}^{a} e^{ikx(u+d)/L} du $
\begin{equation}
 \hspace{-125pt} = f(x) + e^{idkx/L} f(x) = f(x) \sum_{n=0}^{1} e^{indkx/L}
\end{equation}
$B$HI=$5$l$k!#$3$l$r7W;;$9$k$H(B


$ \displaystyle F(x) = f(x) \left(e^{idkx/L} + 1 \right)$
\begin{equation}
 \hspace{-90pt} = \frac{CL}{kx} \left( 2 \sin \frac{kax}{2L} e^{ikax/2L} \right) \left( 2 \cos \frac{kdx}{2L} e^{ikdx/2L} \right)
\end{equation}
$B$rF@$k!#$7$?$,$C$F!"6/EY(B $ I_{2}(x) $ $B$O(B

$ \displaystyle I_{2}(x) = |F(x)|^2 = \frac{|C|^2 L^2}{k^2 x^2} \times  4 \sin^{2}{\frac{kax}{2L}} \times \left( 4 \cos^{2} \frac{kdx}{2L} \right) $
\begin{equation}
 \hspace{-155pt} = \frac{16|C|^2 L^2}{k^2 x^2}
\sin^{2}{\frac{kax}{2L}} \left( \cos^{2} \frac{kdx}{2L} \right)
\end{equation}
}
% Q2-2 $B=*(B
