# LaTeX2HTML 95.1 (Fri Jan 20 1995)
# Associate image original text (scrambled) with physical files.

$key = q/{_inline}$K^2_r${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img335.gif">'; 
$key = q/{_inline}$d_j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img500.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxnormal.pslabelnormal{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img613.gif">'; 
$key = q/{_inline}$c(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img53.gif">'; 
$key = q/{_inline}$p_1,2(z;k)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img175.gif">'; 
$key = q/{_inline}$D^-${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img519.gif">'; 
$key = q/{displaymath}epsilon=0.00737{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img183.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxatten.pslabelatten{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img611.gif">'; 
$key = q/{_inline}$P(r,z,t)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img5.gif">'; 
$key = q/{_inline}$p_j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img551.gif">'; 
$key = q/{_inline}$c_l(x,y)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img444.gif">'; 
$key = q/{_inline}$z_;SPM_gt;=max(z,z_s)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img108.gif">'; 
$key = q/{_inline}$W(z_s;k_m)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img173.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxplotgrn.pslabelplotgrn{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img581.gif">'; 
$key = q/{_inline}$tildez${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img184.gif">'; 
$key = q/{_inline}$bfa^j+1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img391.gif">'; 
$key = q/{_inline}$100zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img200.gif">'; 
$key = q/{_inline}$left(p(s),q(s)right)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img459.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxmunk_mod.pslabelmunk_mod{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img191.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxeddy_ssp.pslabeleddy_ssp{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img418.gif">'; 
$key = q/{_inline}$bfb^j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img389.gif">'; 
$key = q/{_inline}$K_1^2(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img332.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxpek_loc.pslabelpek_loc{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img140.gif">'; 
$key = q/{_inline}$f^T,B,g^T,B${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img104.gif">'; 
$key = q/{_inline}$3)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img222.gif">'; 
$key = q/{_inline}$tau_zz${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img219.gif">'; 
$key = q/{_inline}$zeta(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img211.gif">'; 
$key = q/{_inline}$Z_0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img506.gif">'; 
$key = q/{_inline}$fg${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img505.gif">'; 
$key = q/{_inline}$tau(s)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img460.gif">'; 
$key = q/{_inline}$G(z,z_s;k)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img102.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxmunk_schem.pslabelmunk_schem{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img190.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxiso_schem.pslabeliso_schem{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img51.gif">'; 
$key = q/{_inline}$k_m${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img127.gif">'; 
$key = q/{_inline}$Z_0,Z_1,ldotsZ_N${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img498.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxpek_schem.pslabelpek_schem{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img88.gif">'; 
$key = q/{_inline}$Z^(1)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img534.gif">'; 
$key = q/{_inline}$widehatH1,2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img346.gif">'; 
$key = q/{_inline}$h_w${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img567.gif">'; 
$key = q/{displaymath}e_j=1overhrho,qquadj=1,ldots,N.{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img503.gif">'; 
$key = q/{_inline}$hatc${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img371.gif">'; 
$key = q/{_inline}$r_i,s_j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img228.gif">'; 
$key = q/{displaymath}calL(k_m)Z_m=0,qquadcalB_1Z_m=calB_2Z_m=0.{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img157.gif">'; 
$key = q/{_inline}$rho_b${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img95.gif">'; 
$key = q/{_inline}$psi${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img261.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxtwersky.pslabeltwersky{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img599.gif">'; 
$key = q/{_inline}$y_6${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img233.gif">'; 
$key = q/{_inline}$Z_m(z,r)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img416.gif">'; 
$key = q/{_inline}$Z_m(r,z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img399.gif">'; 
$key = q/{_inline}$(x_s,y_s)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img462.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxdouble.pslabeldouble{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img603.gif">'; 
$key = q/{_inline}$W(z_s;k_m)=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img122.gif">'; 
$key = q/{_inline}$gammasigma${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img319.gif">'; 
$key = q/{_inline}$c_pb${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img251.gif">'; 
$key = q/{_inline}$k=omegac_b${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img149.gif">'; 
$key = q/{_inline}$h^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img576.gif">'; 
$key = q/{_inline}$epsilonK^2_1=iK^2_i(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img338.gif">'; 
$key = q/{_inline}$Z_m(x,y,z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img433.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxpek_mod.pslabelpek_mod{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img145.gif">'; 
$key = q/{_inline}$nu_g(omega)=domegadk${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img65.gif">'; 
$key = q/{_inline}$S_j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img536.gif">'; 
$key = q/{_inline}$(-k_j,bfr_j)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img215.gif">'; 
$key = q/{_inline}$fp(z)+gp'(z)=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img238.gif">'; 
$key = q/{_inline}$c_b${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img91.gif">'; 
$key = q/{_inline}$eta(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img210.gif">'; 
$key = q/{_inline}$a_l,b_l${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img366.gif">'; 
$key = q/{_inline}$K^2(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img324.gif">'; 
$key = q/{_inline}$90^circ${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img201.gif">'; 
$key = q/{_inline}$1zwdB${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img593.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxplotts.pslabelplotts{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img588.gif">'; 
$key = q/{_inline}$nu_p(omega)=omegak_m${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img64.gif">'; 
$key = q/{_inline}$krightarrowk_m${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img179.gif">'; 
$key = q/{_inline}$W(k_m)=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img123.gif">'; 
$key = q/{_inline}$omegac${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img72.gif">'; 
$key = q/{_inline}$Z_m(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img176.gif">'; 
$key = q/{_inline}$k_j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img533.gif">'; 
$key = q/{_inline}$K^2_0(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img323.gif">'; 
$key = q/{_inline}$c=1500zwms${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img74.gif">'; 
$key = q/{_inline}$[0,D]${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img26.gif">'; 
$key = q/{_inline}$r_j-1=r_1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img348.gif">'; 
$key = q/{_inline}$H1_m^j(r_j)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img361.gif">'; 
$key = q/{_inline}$rhoto0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img258.gif">'; 
$key = q/{_inline}$k_r${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img336.gif">'; 
$key = q/{_inline}$150zwkm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img423.gif">'; 
$key = q/{_inline}$C_EJP${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img114.gif">'; 
$key = q/{_inline}$bfZ${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img497.gif">'; 
$key = q/{_inline}$h=h_w${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img570.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxplotssp.pslabelplotssp{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img583.gif">'; 
$key = q/{_inline}$O(h)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img488.gif">'; 
$key = q/{_inline}$p_2'(0)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img165.gif">'; 
$key = q/{_inline}$k^2(p,ldots,q)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img564.gif">'; 
$key = q/{_inline}$h_p,ldots,h_q${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img563.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxatten_tl.pslabelatten_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img612.gif">'; 
$key = q/{_inline}$90zwkm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img424.gif">'; 
$key = q/{_inline}$rho(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img19.gif">'; 
$key = q/{_inline}$W(z)rho(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img162.gif">'; 
$key = q/{_inline}$Delta(k^2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img530.gif">'; 
$key = q/{_inline}$1e${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img455.gif">'; 
$key = q/{_inline}$y_2=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img270.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxlant_tl.pslabellant_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img429.gif">'; 
$key = q/{_inline}$bfr${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img217.gif">'; 
$key = q/{_inline}$bftildeC${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img363.gif">'; 
$key = q/{_inline}$c_nn${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img450.gif">'; 
$key = q/{_inline}$rho_w${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img515.gif">'; 
$key = q/{_inline}$W(z;k_m)=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img174.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxflused.pslabelflused{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img607.gif">'; 
$key = q/{_inline}$gamma${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img282.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxeddy_tl.pslabeleddy_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img421.gif">'; 
$key = q/{_inline}$Z_m${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img156.gif">'; 
$key = q/{_inline}$p(z)=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img239.gif">'; 
$key = q/{_inline}$2.0zwgcm^3${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img597.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxplotray.pslabelplotray{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img587.gif">'; 
$key = q/{_inline}$c(D^pm)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img518.gif">'; 
$key = q/{_inline}$b_m^N=0,${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img379.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxelsed_tl.pslabelelsed_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img610.gif">'; 
$key = q/{_inline}$c(z)=c_r(z)+ic_i(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img286.gif">'; 
$key = q/{_inline}$2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img220.gif">'; 
$key = q/{_inline}$k_m=ia${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img71.gif">'; 
$key = q/{_inline}$gammasigma=1sqrt2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img310.gif">'; 
$key = q/{_inline}$-k_m${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img67.gif">'; 
$key = q/{_inline}$k_m^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img27.gif">'; 
$key = q/{_inline}$e^ikr${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img85.gif">'; 
$key = q/{_inline}$omegac_min${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img29.gif">'; 
$key = q/{_inline}$L(s)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img454.gif">'; 
$key = q/{_inline}$h_wh_s${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img569.gif">'; 
$key = q/{_inline}$H2_m^j(r_j)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img362.gif">'; 
$key = q/{_inline}$B_lm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img409.gif">'; 
$key = q/{_inline}$k^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img100.gif">'; 
$key = q/{_inline}$(s,n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img467.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxplotmode.pslabelplotmode{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img582.gif">'; 
$key = q/{_inline}$bfY'=bff(z,bfY)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img555.gif">'; 
$key = q/{_inline}$bfD${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img383.gif">'; 
$key = q/{_inline}$ddota${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img1.gif">'; 
$key = q/{_inline}$Z_j=Z(z_j)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img477.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxmunk_tl.pslabelmunk_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img202.gif">'; 
$key = q/{_inline}$1(hrho)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img504.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxejp_loc.pslabelejp_loc{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img117.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxelsed.pslabelelsed{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img609.gif">'; 
$key = q/{_inline}$k_l${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img44.gif">'; 
$key = q/{_inline}$8.2zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img600.gif">'; 
$key = q/{_inline}$1500zwms${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img595.gif">'; 
$key = q/{_inline}$1600zwms${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img187.gif">'; 
$key = q/{_inline}$Z_l(z_s)sqrt4pi${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img471.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxscholte_tl.pslabelscholte_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img606.gif">'; 
$key = q/{_inline}$1gamma(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img197.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxflused_tl.pslabelflused_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img608.gif">'; 
$key = q/{_inline}$k_l(x,y)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img438.gif">'; 
$key = q/{_inline}$2500zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img592.gif">'; 
$key = q/{displaymath}calL(k_m)G=delta(z-z_s),qquadcalB_1G=calB_2G=0.{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img105.gif">'; 
$key = q/{displaymath}p=left(e^igamma_mz+e^-igamma_mzright)e^ik_mr.{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img146.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxnormal_tl.pslabelnormal_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img614.gif">'; 
$key = q/{_inline}$(x_r,y_r)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img466.gif">'; 
$key = q/{_inline}$2000zwms${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img596.gif">'; 
$key = q/{_inline}$Z_0(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img329.gif">'; 
$key = q/{_inline}$q(s)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img448.gif">'; 
$key = q/{_inline}$e^-iomegat${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img68.gif">'; 
$key = q/{_inline}$50zwHz${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img189.gif">'; 
$key = q/{_inline}$O(h^2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img577.gif">'; 
$key = q/{_inline}$z=50zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img81.gif">'; 
$key = q/{_inline}$p(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img237.gif">'; 
$key = q/{_inline}$p_1,2(z;k_m)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img124.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxengraving.pslabelengraving{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img2.gif">'; 
$key = q/{_inline}$left(x(s),y(s)right)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img457.gif">'; 
$key = q/{_inline}$y_6=-k^2y_5${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img234.gif">'; 
$key = q/{displaymath}tildez=2(z-1300)over1300.{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img185.gif">'; 
$key = q/{_inline}$phi${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img260.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxplotfield.pslabelplotfield{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img580.gif">'; 
$key = q/{_inline}$z_;SPM_lt;=min(z,z_s)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img107.gif">'; 
$key = q/{_inline}$c_min${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img542.gif">'; 
$key = q/{_inline}$gamma^2(z)=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img196.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxwaveeq.pslabelwaveeq{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img3.gif">'; 
$key = q/{_inline}$K(s)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img456.gif">'; 
$key = q/{_inline}$p'(z)=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img240.gif">'; 
$key = q/{_inline}$g_l(s,n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img465.gif">'; 
$key = q/{_inline}$tildec${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img372.gif">'; 
$key = q/{_inline}$h_w=h_s${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img522.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxplotrth.pslabelplotrth{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img589.gif">'; 
$key = q/{_inline}$H_0^(2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img40.gif">'; 
$key = q/{_inline}$A_lm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img410.gif">'; 
$key = q/{_inline}$K^2(z)=omega^2c^2(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img321.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxfin_dif.pslabelfin_dif{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img478.gif">'; 
$key = q/{_inline}$h_s${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img568.gif">'; 
$key = q/{_inline}$A_nn${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img411.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxcm.pslabelcm{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img350.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxice.pslabelice{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img615.gif">'; 
$key = q/{_inline}$Z(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img96.gif">'; 
$key = q/{_inline}$Z_m(z)=p_1(z;k_m)=p_2(z;k_m)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img125.gif">'; 
$key = q/{_inline}$k^2_0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img560.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxtwersky_tl.pslabeltwersky_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img602.gif">'; 
$key = q/{_inline}$tildec_lm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img364.gif">'; 
$key = q/{_inline}$p_1,p_2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img111.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxat_struct.pslabelat_struct{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img578.gif">'; 
$key = q/{_inline}$K^2(z)=K^2_r(z)+iK^2_i(z)=omegac(z)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img334.gif">'; 
$key = q/{_inline}$Z^(l+1)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img535.gif">'; 
$key = q/{_inline}$p_2(D;k)=Z_m(D)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img177.gif">'; 
$key = q/{_inline}$1)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img218.gif">'; 
$key = q/{_inline}$bfa,bfb${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img365.gif">'; 
$key = q/{_inline}$bfy${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img242.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxplottld.pslabelplottld{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img584.gif">'; 
$key = q/{_inline}$bfb^j+1=bf0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img388.gif">'; 
$key = q/{_inline}$cos[(k_1-k_2)r]${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img86.gif">'; 
$key = q/{_inline}$l=1,ldots,M${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img354.gif">'; 
$key = q/{displaymath}calL(k_m)g=delta(z-z_s),qquadcalB_1g=calB_2g=0.{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img152.gif">'; 
$key = q/{_inline}$a_m,b_m${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img352.gif">'; 
$key = q/{_inline}$f=100zwHz${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img76.gif">'; 
$key = q/{_inline}$W(z;k)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img109.gif">'; 
$key = q/{_inline}$bfH_2^j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img360.gif">'; 
$key = q/{displaymath}gammaD=left(m+1over2right)pi,qquadm=1,2,ldots,{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img57.gif">'; 
$key = q/{displaymath}P(r,z,t);;;mboxoutgoingas;rrightarrowinfty.{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img10.gif">'; 
$key = q/{_inline}$D^+${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img520.gif">'; 
$key = q/{_inline}$e_j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img550.gif">'; 
$key = q/{_inline}$d(fg)^T,Bdk${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img528.gif">'; 
$key = q/{_inline}$(k_j,bfr_j)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img214.gif">'; 
$key = q/{_inline}$p(s)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img447.gif">'; 
$key = q/{_inline}$rho_w=rho_s${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img523.gif">'; 
$key = q/{_inline}$-10logI${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img78.gif">'; 
$key = q/{_inline}$B_lm=-B_ml${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img406.gif">'; 
$key = q/{_inline}$h=h_s${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img571.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxpekeris.pslabelpekeris{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img594.gif">'; 
$key = q/{_inline}$mboxres(k_m)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img116.gif">'; 
$key = q/{_inline}$left(xi(s),eta(s)right)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img458.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxfin_difint.pslabelfin_difint{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img508.gif">'; 
$key = q/{_inline}$p(r,z)=Z(z)R(r)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img15.gif">'; 
$key = q/{_inline}$D=100zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img75.gif">'; 
$key = q/{_inline}$k_m(omega)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img144.gif">'; 
$key = q/{_inline}$500zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img591.gif">'; 
$key = q/{_inline}$k_1^2;SPM_gt;k_2^2;SPM_gt;cdots${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img28.gif">'; 
$key = q/{_inline}$10zwHz${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img590.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxlant_tri.pslabellant_tri{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img428.gif">'; 
$key = q/{_inline}$h=DN${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img476.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxplottri.pslabelplottri{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img586.gif">'; 
$key = q/{_inline}$epsilon${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img182.gif">'; 
$key = q/{_inline}$tau_zx${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img221.gif">'; 
$key = q/{_inline}$rho_s${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img516.gif">'; 
$key = q/{_inline}$k_max=omegac_min${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img541.gif">'; 
$key = q/{_inline}$1000zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img417.gif">'; 
$key = q/{figure}centeringepsfxsize=80mmleavevmodeepsfboxiso_tl1.psepsfxsize=80mmleavevmodeepsfboxiso_tl2.psepsfxsize=80mmleavevmodeepsfboxiso_tl3.ps{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img87.gif">'; 
$key = q/{_inline}$5000zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img186.gif">'; 
$key = q/{_inline}$rrightarrowinfty${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img41.gif">'; 
$key = q/{_inline}$rho${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img94.gif">'; 
$key = q/{_inline}$1zwgcm^3${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img188.gif">'; 
$key = q/{_inline}$S_N(k^2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img540.gif">'; 
$key = q/{_inline}$z_s=25zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img80.gif">'; 
$key = q/{_inline}$k-k_m${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img178.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxdouble_tl.pslabeldouble_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img604.gif">'; 
$key = q/{_inline}$sigma${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img343.gif">'; 
$key = q/{_inline}$400zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img426.gif">'; 
$key = q/{_inline}$5.1zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img601.gif">'; 
$key = q/{_inline}$c_p,c_s${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img213.gif">'; 
$key = q/{_inline}$k^2(h)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img575.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxkrak_struct.pslabelkrak_struct{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img579.gif">'; 
$key = q/{_inline}$rhotoinfty${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img259.gif">'; 
$key = q/{_inline}$s(t)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img6.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxice_tl.pslabelice_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img616.gif">'; 
$key = q/{_inline}$partialWpartialk${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img150.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxplottlr.pslabelplottlr{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img585.gif">'; 
$key = q/{_inline}$left.partialW(z_s;k)partialkright|_k=k_m=1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img137.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxpekeris_tl.pslabelpekeris_tl{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img598.gif">'; 
$key = q/{_inline}$gamma_b${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img92.gif">'; 
$key = q/{_inline}$Z_N${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img513.gif">'; 
$key = q/{displaymath}gamma^2(z)=omega^2overc^2(z)-k^2_m.{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img193.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxiso_loc.pslabeliso_loc{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img73.gif">'; 
$key = q/{_inline}$C_infty${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img118.gif">'; 
$key = q/{_inline}$epsilonk^2_1=ik^2_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img339.gif">'; 
$key = q/{_inline}$bfb^j+1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img375.gif">'; 
$key = q/{displaymath}W(z;k)=p_1(z;k)p_2'(z;k)-p_1'(z;k)p_2(z;k),{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img153.gif">'; 
$key = q/{_inline}$300zwm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img420.gif">'; 
$key = q/{_inline}$Re{k_1};SPM_gt;Re{k_2};SPM_gt;cdots${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img121.gif">'; 
$key = q/{_inline}$H_0^(1)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img39.gif">'; 
$key = q/{_inline}$bfs${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img385.gif">'; 
$key = q/{_inline}$k^2(1)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img565.gif">'; 
$key = q/{figure}centeringepsfxsize=140mmleavevmodeepsfboxscholte.pslabelscholte{figure}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img605.gif">'; 
$key = q/{_inline}$m=1,ldots,M${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img380.gif">'; 
$key = q/{_inline}$bfH_1^j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img359.gif">'; 
$key = q/{_inline}$omega${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img62.gif">'; 
$key = q/{_inline}$bfR_1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img394.gif">'; 

1;

