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Template:Radiation potential equations for a dock like structure - Revision history
2026-04-17T20:37:49Z
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Meylan at 01:13, 21 September 2009
2009-09-21T01:13:01Z
<p></p>
<p><b>New page</b></p><div><center><math><br />
\Delta\phi_n^{\mathrm{R}} =0,\,\,-h<z<0,<br />
</math></center><br />
<center><math><br />
\partial_{z}\phi_n^{\mathrm{R}} =0,\,\,z=-h,<br />
</math></center><br />
<center><math><br />
\partial_{z}\phi_n^{\mathrm{R}} =\alpha\phi_n^{\mathrm{R}},\,\,x\notin(-L,L),\, \,<br />
z=0<br />
</math></center><br />
<center><math><br />
\partial_{z}\phi_n^{\mathrm{R}} = i\omega X_{n},\,\,x\in(-L,L),\,\,z=0.<br />
</math></center><br />
The radiation condition for the radiation potential is<br />
<center><math><br />
\frac{\partial\phi_n^{\mathrm{R}}}{\partial x}\pm ik\phi_n^{\mathrm{R}}=0,\,\,\mathrm{as}<br />
\,\,x\rightarrow\pm\infty.<br />
</math></center></div>
Meylan