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\title[Short title for front cover]
{\bf {A really long title that describes the whole
article\thanks{\ \ \ \,Submitted in
February 2004 to the Journal of the Acoustical Society of America.}
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\author[Author]{Ann Author\thanks{\ \ \ \,Current address: Physics
Department, XYZ University; Electronic mail: Ann@xyz.edu}\ \ \
and Second Author\\
{\normalsize\rmfamily\itshape Institutional affiliation}}
\date{\today}
\definerunningtitle{Running title for article}
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\JASAabstract % This is a slightly modified LaTeX command
The abstract summarizes the article in a concise way!
It can't be too long else it won't fit in the journal.
\PACS{43.25.Fe}
\EndJASAabstract
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\section{INTRODUCTION}
\label{sec:intro}
In a previous paper\cite{farnell70}, the authors investigated
crystals\cite{borchardtott95}. However, we are going to do
something else.
\section{NUMERICAL RESULTS}
\label{sec:num}
We have a lot of numerical results to show here. We will
discuss both linear and nonlinear effects.
\subsection{Linear effects}
\label{sec:num:lin}
A plane surface wave with wave number $k$ is assumed to propagate
in the $x$ direction along the surface of an anisotropic
half-space $z\leq 0$. The displacement components
of the linearized equations of motion can be written in the
form
\begin{equation}
u_j=\sum_{s=1}^{3} C_s \alpha_j^{(s)}
\exp{[ik l_3^{(s)}]} \exp[ik(x-ct)],
\end{equation}
where $j=x,y,z$, $c$ is the small-signal SAW speed,
$l_3^{(s)}$ and $\alpha_j^{(s)}$ are the eigenvalues and eigenvectors,
respectively, of the secular equation, and $C_s$ are coefficients
which allow the stress-free boundary conditions to be satisfied.
The parameters $c$, $l_3^{(s)}$, $\alpha_j^{(s)}$, and $C_s$ are
determined using standard techniques. Nonlinear effects are
described in Sec.~\ref{sec:num:nonlin}.
\subsection{Nonlinear effects}
\label{sec:num:nonlin}
Because the nonlinear theory used here has been discussed at length
elsewhere, only the essential equations
are summarized. The coupled nonlinear evolution equations for the surface
acoustic waves (without absorption) are
\begin{equation}
\frac{dv_n}{dx}=\frac{n^2\omega}{2\rho c^4}
\sum_{l+m=n} \mathrm{sgn}(lm) S_{lm(-n)} v_l v_m\,,
\label{eqn:timedom:vnevol:space}
\end{equation}
where $v_n$ is the spectral amplitude of the $n$th harmonic,
$\omega=kc$ is the angular frequency, and $S_{lm}$ is the nonlinearity
matrix. The matrix element $S_{lm}$ describes generation of the
the $n$th harmonic due to interaction of the the $l$th and $m$th harmonics.
\subsubsection{General study}
\label{ch:cubic:111:nonlinear:general}
We decided to do a general study to find out about things generally.
\subsubsection{Detailed study}
\label{ch:cubic:111:nonlinear:detail}
However, a more detailed study is useful too.
\section{SUMMARY}
\label{sec:summary}
This paper examines a lot of interesting things, especially
Sec.~\ref{sec:num:nonlin}. We should get the Nobel prize!
\section*{ACKNOWLEDGMENTS}
This work was supported by our generous funding agency.
We also gratefully acknowledge discussions with
B.~Author and C.~Author.
\pagebreak
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\bibitem{farnell70}
G.~W. Farnell, ``Properties of elastic surface waves,'' in {\sl Physical
Acoustics}, edited by W.~P. Mason and R.~N. Thurston (Academic Press, New
York, 1970), Vol.~6, pp.\ 109--166.
\vspace{.125in}
\bibitem{borchardtott95}
W. Borchardt-Ott, {\sl Crystallography}, 2nd ed. (Springer-Verlag, New York,
1995).
\vspace{.125in}
\end{thebibliography}
\pagebreak
\section*{FIGURE CAPTIONS}
\begin{enumerate}
\item[1.] Dependence of something on something else.
\item[2.] Dependence of anything on anything else.
\end{enumerate}
\pagebreak
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