macro.tex

国外免费地震资料处理软件包

\def\K#1{\overline{#1}}

% greek letters (angles,frequency, vp/vs)
\def\w{\omega}
\def\g{\gamma}
\def\t{\theta}
\def\d{\delta}
\def\p{\phi}

% image, wavefield
\def\RR{{ \bf R}}
\def\US{{ \bf U}_s}
\def\UR{{ \bf U}_r}
\def\UU{{ \bf U}}

\def\UO{{ \widehat{\bf U}}}

\def\us{{ \bf u}_s}
\def\ur{{ \bf u}_r}
\def\uu{{ \bf u}}

\def\uo{{ \widehat{\bf u}}}

% coordinates
\def\ss{{ \bf s}}
\def\rr{{ \bf r}}
\def\mm{{ \bf m}}
\def\hh{{ \bf h}}

\def\mo{{ \widehat{\bf m}}}
\def\ho{{ \widehat{\bf h}}}

% vectors
\def\vv{{ \bf v}} % arbitrary vector (e.g. magnetic North)
\def\nn{{ \bf n}} % normal to reflector

% wavenumbers
\def\ksv{{ \bf k}_\ss}
\def\krv{{ \bf k}_\rr}
\def\kmv{{ \bf k}_\mm}
\def\khv{{ \bf k}_\hh}

% ray parameters
\def\psv{{ \bf p}_\ss}
\def\prv{{ \bf p}_\rr}
\def\pmv{{ \bf p}_\mm}
\def\phv{{ \bf p}_\hh}

% vector magnitude
\def\mps{|\psv|}
\def\mpr{|\prv|}
\def\mpm{|\pmv|}
\def\mph{|\phv|}

\def\mks{|\ksv|}
\def\mkr{|\krv|}
\def\mkm{|\kmv|}
\def\mkh{|\khv|}

% components
\def\mv{ \left[ m_x,m_y,m_z \right]}
\def\hv{ \left[ h_x,h_y,h_z \right]}
\def\sv{ \left[ s_x,s_y,s_z \right]}
\def\rv{ \left[ r_x,r_y,r_z \right]}

\def\kmx{ k_{m_x}}
\def\kmy{ k_{m_y}}
\def\kmz{ k_{m_z}}

\def\khx{ k_{h_x}}
\def\khy{ k_{h_y}}
\def\khz{ k_{h_z}}

\def\tt{{ \tau}}

\def\mvv{|\vv|}

% METRIC TENSOR
\def\gvec{\boldsymbol g}

% DATA, WAVEFIELD, IMAGE
\def\UU{\mathcal{U}}
\def\WW{\mathcal{W}}
\def\VV{\mathcal{V}}
\def\DD{\mathcal{D}}           % data
\def\RR{\mathcal{R}}           % image
\def\PP{\mathcal{P}}           % angle  gather
\def\HH{\mathcal{H}}           % offset gather
\def\TT{\mathcal{T}}

\def\dU{\DEL\UU}
\def\dV{\DEL\VV}
% COORDINATES
\def\xx{x}                     % Cartesian x 
\def\yy{y}                     % Cartesian y 
\def\zz{z}                     % Cartesian z 
\def\xvec{\boldsymbol \xx  }   % Cartesian generic
\def\xone{            \xx_1}
\def\xtwo{            \xx_2}
\def\xthr{            \xx_3}
\def\ofx {\lp \zz,\xx,\yy \rp}

\def\atzo{_{\zz}}
\def\atzz{_{\zz+\DEL \zz}}

\def\qx{\xi}                   % Riemannian x
\def\qy{\eta}                  % Riemannian y
\def\qz{\zeta}                 % Riemannian z
\def\qt{\tau}                  % 
\def\qg{\gamma}                % 
\def\qf{\phi}                  % 
\def\qvec{\boldsymbol \qx  }   % Riemannian generic
\def\qone{            \qx_1}
\def\qtwo{            \qx_2}
\def\qthr{            \qx_3}
\def\ofq {\lp \qz,\qx,\qy \rp}
\def\oft {\lp \qt,\qg \rp}

\def\hh{h} 
\def\hvec{\boldsymbol \hh}
\def\mm{m} 
\def\mvec{\boldsymbol \mm}


% infinitesimal steps
\def\dz{\DEL\zz}

% Riemannian coefficients
\def\cxx{c_{\qx\qx}}
\def\cx {c_{\qx   }}
\def\cyy{c_{\qy\qy}}
\def\cy {c_{\qy   }}
\def\czz{c_{\qz\qz}}
\def\cz {c_{\qz   }}
\def\cxy{c_{\qx\qy}}

%%\def\ctt{c_{\qt\qt}}
%%\def\ct {c_{\qt   }}
%%\def\cgg{c_{\qg\qg}}
%%\def\cg {c_{\qg   }}

\def\ctt{a}
\def\ct {b}
\def\cgg{d}
\def\cg {c}

% FOURIER COORDINATES
\def\kzz{k_\zz}
\def\kxx{k_\xx}
\def\kyy{k_\yy}
\def\kqz{k_\qz}
\def\kqx{k_\qx}
\def\kqy{k_\qy}
\def\kqt{k_\qt}
\def\kqg{k_\qg}
\def\khh{k_\hh}

\def\nqt{n_\qt}
\def\nqg{n_\qg}

% 
\def\ww{\omega}                % frequency

% DATA, WAVEFIELD, IMAGE
\def\UU{\mathcal{U}}
\def\WW{\mathcal{W}}
\def\VV{\mathcal{V}}
\def\DD{\mathcal{D}}           % data
\def\RR{\mathcal{R}}           % image
\def\PP{\mathcal{P}}           % angle  gather
\def\HH{\mathcal{H}}           % offset gather
\def\TT{\mathcal{T}}

\def\dU{\DEL\UU}
\def\dV{\DEL\VV}

\def\kt{k_\tau}
\def\kk{k_\gamma}
\def\kto{{\kt}_0}
\def\ao{a_0}
\def\bo{b_0}

\def\aa{\alpha}
\def\jj{J}

\def\hf{\frac{1}{2}}
\def\ih{\frac{i}{2}}
\def\qu{\frac{1}{4}}
\def\ei{\frac{1}{8}}
\def\iq{\frac{i}{4}}

\def\ro{\rho}

\def\xx{ \frac{b  \kk}{a   \ww} }
\def\xo{ \frac{b_0\kk}{a_0 \ww} }
\def\yy{ \frac{   \kk}{    \ww} }

\def\xxs{\lp\xx\rp^2}
\def\xxf{\lp\xx\rp^4}
\def\xos{\lp\xo\rp^2}
\def\xof{\lp\xo\rp^4}
\def\yys{\lp\yy\rp^2}
\def\yyf{\lp\yy\rp^4}

\def\ba  {\frac{b  }{a  }}
\def\bas {\lp\ba\rp^2}
\def\baf {\lp\ba\rp^4}
\def\bao {\frac{b_0}{a_0}}
\def\baos{\lp\bao\rp^2}
\def\baof{\lp\bao\rp^4}

\def\co{c_1}
\def\ct{c_2}

\def\nz{\nu_0}
\def\mz{\mu_0}
\def\rz{\rho_0}

\def\nh{\hat{\nu }}
\def\mh{\hat{\mu }}
\def\rh{\hat{\rho}}

\def\rx{\lp \rs+\beta\ms \rp}

% WAVEFIELD DISCRETIZATION
\def\Upo{\UU^{\qg+1}_{\qt}}
\def\Uoo{\UU^{\qg}  _{\qt}}
\def\Umo{\UU^{\qg-1}_{\qt}}

\def\Up {\UU^{\qg+1}_{\qt+1}}
\def\Uo {\UU^{\qg}  _{\qt+1}}
\def\Um {\UU^{\qg-1}_{\qt+1}}

% FD stars
\def\star__z{ 
\begin{tabular}{|c|} \hline
$+1$   \\  \hline
$-1$   \\  \hline
\end{tabular}
}
\def\starxx_{ 
\begin{tabular}{|c|c|c|} \hline
 $+1$  & $-2$  &  $+1$       \\  \hline
 $+1$  & $-2$  &  $+1$       \\  \hline
\end{tabular}
}
\def\starxxz{ 
\begin{tabular}{|c|c|c|} \hline
$+1$  & $-2$  & $+1$       \\  \hline
$-1$  & $+2$  & $-1$       \\  \hline
\end{tabular}
}


\def\starA{
\begin{tabular}{|c|} \hline
  $+\mh$ \\ \hline
  $-\mh$ \\ \hline
\end{tabular}
}
\def\starB{
\begin{tabular}{|c|c|c|}       \hline
 $-\rh-i\nh$    & $ 2\lb+\rh+i\nh\rb$       & $-\rh-i\nh$    \\ \hline
 $+\rh-i\nh$    & $ 2\lb-\rh+i\nh\rb$       & $+\rh-i\nh$    \\ \hline
\end{tabular}
}
%%\def\starC{
%%\begin{tabular}{|c|c|c|}                     \hline
%% $\nu- o -\ro$ & $-2(\nu- o -\ro$)  &  $\nu- o -\ro$ \\ \hline
%% $\nu+ o +\ro$ & $-2(\nu+ o +\ro$)  &  $\nu+ o +\ro$ \\ \hline
%%\end{tabular}
%%}

\def\Ltwo{
\begin{tabular}{|c|c|c|}           \hline
$+\rh+i\nh$ & $\mh+2\lb-\rh-i\nh\rb$ & $+\rh+i\nh$    \\ \hline
\end{tabular}
}
\def\Rtwo{
\begin{tabular}{|c|c|c|}           \hline
$+\rh-i\nh$ & $\mh-2\lb+\rh-i\nh\rb$ & $+\rh-i\nh$    \\ \hline
\end{tabular}
}
%%\def\Lthr{
%%\begin{tabular}{|c|c|c|}           \hline
%%$-\nu+ o +\ro$ & $\mu+2(\nu- o -\ro)$ & $-\nu+ o +\ro$    \\ \hline
%%\end{tabular}
%%}
%%\def\Rthr{
%%\begin{tabular}{|c|c|c|}           \hline
%%$+\nu+ o +\ro$ & $\mu-2(\nu+ o +\ro)$ & $+\nu+ o +\ro$    \\ \hline
%%\end{tabular}
%%}