previous up next print clean
Next: Upcoming waves Up: WAVE-EXTRAPOLATION EQUATIONS Previous: Splitting diffraction and lens

Time domain

To put the above equations in the time domain, it is necessary only to get $\omega$ into the numerator and then replace $ -i \omega $ by $ \partial / \partial t $.For example, the 15$^\circ$, retarded, $ v = \bar v $ equation from Table [*].5 becomes  
 \begin{displaymath}
{ \partial^2 \over \partial z \ \partial t } \ Q \eq
{v \over 2 }\ { \partial^2 \ \over \partial x^2 } \ Q\end{displaymath} (21)
Interpretation of time t for a retarded-time variable Q awaits further clarification in chapter [*].



Stanford Exploration Project
10/31/1997