Wide-azimuth angle gathers for wave-equation migration

Appendix A

This appendix shows the pseudo-code used for angle decomposition indicating the loop order and the link with the theory discussed in the body of the paper.

 CIP loop 		 
$c=1 \dots N\{$
 


read reflector dip 		 		 ${\bf n}$
 


read azimuth reference 		 		 ${\bf v}$
 


rotate azimuth reference 		 		 
$\{{\bf n},{\bf v}\}\rightarrow {\bf a}$
, (equation 19) 


read velocity 		 		 $v$
 


read CIP 		 		 
$R\left ( {\boldsymbol{\lambda}} ,\tau \right)$
 


azimuth angle loop 		 		 loop 
$\phi=0^\circ \dots 360^\circ\{$
 


rotate by azimuth 		 		 		 
$\{{\bf n},\phi,{\bf a}\} \rightarrow {\bf q}$
, (equation 21) 


reflection angle loop 		 		 		 loop 
$\theta=0^\circ \dots 90^\circ\{$
 


apply slant stack 		 		 		 		 
$R\left ( {\boldsymbol{\lambda}} ,\tau \right)\Longrightarrow R\left (\phi,\theta \right)$
, (equation 17) 

$\}$
 

$\}$
 


write 		 		 
$R\left (\phi,\theta \right)$
 

$\}$
 

ANGLE DECOMPOSITION ALGORITHM FOR EXTENDED CIPS.