\documentclass[a4j,10pt]{jarticle}
\pagestyle{empty}
\setlength{\textheight}{26cm}
\topmargin=-2cm
\def\grad{\mathop{\rm grad}}
\def\div{\mathop{\rm div}}
\def\rot{\mathop{\rm rot}}
\def\E{\mathop{\Vec{E}}}
\def\D{\mathop{\Vec{D}}}
\def\B{\mathop{\Vec{B}}}
\def\H{\mathop{\Vec{H}}}
\def\M{\mathop{\Vec{M}}}
\def\P{\mathop{\Vec{P}}}
\def\i{\mathop{\Vec{i}}}
\def\x{\mathop{\Vec{x}}}
\def\r{\mathop{\Vec{r}}}
\def\A{\mathop{\Vec{A}}}
\def\S{\mathop{\Vec{S}}}
\def\ve{\mathop{\Vec{\epsilon}}}
\def\k{\mathop{\Vec{k}}}
\def\e{\mathop{\rm e}\nolimits}
\def\rd{\mathop{\partial}}
\newcommand{\Vec}[1]{\mbox{\boldmath$#1$}}
\begin{document}
\begin{flushright}No.11 (00/1/12)\end{flushright}
\begin{center}\large{$BEE<'5$3X(B2$B1i=,(B}\end{center}

\begin{enumerate}
\item $B0JA0$N1i=,LdBj(B(No.9$B$N(B1.)$B$HF1MM$K!"(B$\D(\x,t)=\epsilon\E(\x,t),\ 
      \H(\x,t)=\mu^{-1}\B(\x,t),\\ \i(\x,t)=\sigma\E(\x,t)$$B$H6a;w$G$-$k(B
      $BF3BNCf$NEE<'>l$r9M$($k!#(B$\epsilon,\ \mu,\ \sigma$$B$ODj?t$G$"$k!#(B
      \begin{enumerate}
      \item $BF<$J$I$NNIF3BN$KBP$7$F$O<<29$G(B$\sigma\sim10^8/\Omega{\rm m}$, 
            $\epsilon\sim10^{-10}{\rm A^2sec^2/Jm}$$B$G$"$k!#(B$\i=\i_0\e^{-i
            \omega t}$$B$H=q$$$?$H$-!"(B$\omega\ll10^{18}{\rm Hz}$$B$G$"$l$P!"(B
            $\displaystyle|\frac{\rd\D}{\rd t}|=\frac{\epsilon\omega}
            {\sigma}|\i|\ll|\i|$$B$G$"$j!"F3BNCf$G$OJQ0LEEN.$rL5;k$7$F$b(B
            $B$+$^$o$J$$$3$H$r3N$+$a$h!#(B$10^{18}{\rm Hz}$$B$H$$$&$N$O$I$N(B
            $BDxEY$N?6F0?t$+!)Nc$($P!"2D;k8w$N?6F0?t$h$j$b9b$$$+!"$=$l$H$b(B
            $BDc$$$+!)$^$?!"$3$3$G$OF3BN$r9M$($F$$$k$o$1$@$+$i(B$\omega\ll
            \omega_p$$B$G$"$k$3$H$rA0Ds$K$7$F$$$k!#E57?E*$J6bB0(B($BEE;R?tL)EY(B
            $\sim10^{22}/{\rm cm^3}$)$B$N%W%i%:%^?6F0?t(B$\omega_p$$B$O$I$NDxEY$N(B
            $BBg$-$5$+!)(B$\omega_p$$B$NDj5A$O(BNo.10$B$N(B2.$B$r8+$h!#(B
      \item $BJQ0LEEN.$rL5;k$G$-$kDxEY$K$f$k$d$+$K;~4VJQF0$9$kEEN.$r=`Dj>o(B
            $BEEN.$H8F$V!#=`Dj>oEEN.$NN.$l$kF3BNCf$G$NEE<'>l$r7h$a$kJ}Dx<0$,(B
            $\displaystyle\rot\E(\x,t)=-\frac{\rd\B(\x,t)}{\rd t},\\ 
            \rot\B(\x,t)=\sigma\mu\E(\x,t),\ \div\B(\x,t)=0$$B$G$"$k$3$H$r(B
            $B3N$+$a$h!#(B
      \item $B$3$l$i$h$j(B$\displaystyle\triangle\E=\sigma\mu\frac{\rd\E}
            {\rd t},\ \triangle\B=\sigma\mu\frac{\rd\B}{\rd t},\ \triangle
            \i=\sigma\mu\frac{\rd\i}{\rd t}$$B$G$"$k$3$H$r3N$+$a$h!#(B
            ($B%R%s%H(B: $\div\E=0$$B$G$"$k(B)
      \item $BF3BN$G$G$-$?L58B$KD9$$1_Cl$rN.$l$k=`Dj>oEEN.$N6u4VJ,I[$r(B
            $B5a$a$h$&!#1_Cl$N<4$r(Bz$B<4$KA*$S!"1_E{:BI8(B$r, \varphi, z$$B$r(B
            $BMQ$$$k$3$H$K$9$k!#EEN.L)EY$r(B$\i={\rm Re}\ i(r)\e^{-i\omega t}
            \Vec{e}_z$$B$H=q$$$?$H$-!"(B$i(r)$$B$r7h$a$kJ}Dx<0$,(B$\displaystyle 
            i''(\xi)+\frac{1}{\xi}i'(\xi)+i(\xi)=0$$B$G$"$k$3$H$r<($;!#(B
            $\xi\equiv kr$$B$G!"(B$k^2\equiv i\sigma\mu\omega$$B$G$"$k!#(B
      \item $B$3$NHyJ,J}Dx<0$N0lHL2r$O(B$i(r)=c_1J_0(kr)+c_2N_0(kr)$$B$G$"$k!#(B
            $r=0,\ a$$B$KBP$9$k6-3&>r7o$+$iDj?t(B$c_1,\ c_2$$B$r7h$a$k$3$H$K(B
            $B$h$j!"(B$\displaystyle i(r)=\frac{kI}{2\pi a}\frac{J_0(kr)}
            {J_1(ka)}$$B$G$"$k$3$H$r<($;!#(B$a$$B$O1_Cl$NH>7B$G!"(B$\displaystyle 
            I\equiv\int_0^ai(r)\,2\pi r\,dr$$B$G$"$k!#(B
            ($J'_0(\xi)=-J_1(\xi)$$B$r;H$&$H$h$$(B)
      \item $|ka|\gg1$ ($B$D$^$j(B$\displaystyle\omega\gg\frac{1}{\sigma\mu 
            a^2}$)$B$G$"$l$P!"(B$r\approx a$$B$G$N(B$J_0(kr)$$B$KBP$7$FA26a8x<0(B
            $J_0(x\sqrt{2i})\approx\e^{(1-i)x}\ (x\gg1)$$B$rMQ$$$k$3$H$,(B
            $B$G$-$k!#EEN.$O1_Cl$NI=LLIU6a$G(B$\displaystyle\delta\equiv\sqrt
            {\frac{2}{\sigma\mu\omega}}$$BDxEY$N8|$5$NItJ,$K$@$1B8:_$9$k(B
            $B$3$H$r<($;!#(B($|i(r)|\propto\e^{-(a-r)/\delta}$$B$r<($;$P$h$$(B)
            $B$^$?!"(B$\mu\sim10^{-6}{\rm N/A^2},\ a\sim1{\rm mm}$$B$H$7$F!"(B
            $\displaystyle\frac{1}{\sigma\mu a^2}$$B$,$I$NDxEY$NBg$-$5$G(B
            $B$"$k$+$r8+@Q$b$C$F$_$h!#(B
      \item $B5U$K!"(B$|ka|\ll1$$B$N$H$-(B$\displaystyle i(r)\approx\frac{I}
            {\pi a^2}$$B$G$"$k$3$H$r<($7!"3F;~9o$G(B`$BDj>oEEN.(B'$B!"(B`$B@E<'>l(B'$B!"(B
            `$BDj>oEE>l(B'$B$r7h$a$kLdBj$K$J$k$3$H$r3N$+$a$h!#(B($BNc$($P!"(B$i(r)$$B$,(B
            $\omega$$B$K0M$i$J$/$J$C$F!";~4V0MB8@-$,(B$\e^{-i\omega t}$$B$N0x;R(B
            $B$@$1$K$J$k$3$H$r3NG'$9$l$P$h$$(B)
      \end{enumerate}
\bigskip
\item $BF3BN$G$G$-$?L58B$KD9$$F1<41_E{$r9M$($k!#H>7B$r(B$a,\ b\ (a<b)$$B$H$7!"(B
      $B<4$r(Bz$B<4$K<h$k$3$H$K$7$h$&!#(B
      \begin{enumerate}
      \item $B@EEEMFNL$H<+8J%$%s%@%/%?%s%9$r5a$a$h!#$3$l$i$O$$$:$l$b1_E{$N(B
            $BD9$5$KHfNc$9$k$O$:$G$"$k$+$i!"C10LD9$5$"$?$j$NCM$r5a$a$k$3$H$K(B
            $B$;$h!#(B
      \item $z=-\infty$$B$K$"$kEE8;$K$h$j6!5k$5$l$?EENO$,$3$NF1<41_E{$K$h$j(B
            $B1?$P$l$F!"(B$z=\infty$$B$K$"$kIi2YDq93$G>CHq$5$l$k>l9g$r9M$($h$&!#(B
            $BFbB&$N1_E{$r(Bz$B<4$N@5$N8~$-$KN.$l$kEEN.$r(B$I$$B$H$7!"30B&$N1_E{$K(B
            $BBP$9$kFbB&$N1_E{$NEE0L$r(B$\phi$$B$H$9$k!#(B$\displaystyle\int\!\!
            \int\E\times\H\cdot\ \Vec{e}_z\,dx\,dy$$B$r7W;;$9$k$3$H$K$h$j!"(B
            $I\phi$$B$@$1$NEENO$,(Bz$B<4$N@5$N8~$-$K1?$P$l$k$3$H$r<($;!#(B
      \end{enumerate}
\end{enumerate}
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\hfill {\tt http://www-het.phys.sci.osaka-u.ac.jp/tanaka/enshuu.html}

\end{document}


