add reference_circle driving function for focused source

sfstoolbox · May 25, 2017 · 9227f71 · 9227f71
1 parent 4e87dd3
commit 9227f71
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diff --git a/SFS_monochromatic/driving_functions_mono/driving_function_mono_wfs_fs.m b/SFS_monochromatic/driving_functions_mono/driving_function_mono_wfs_fs.m
@@ -234,6 +234,30 @@
             .* vector_product(xs-x0,nx0,2) ./ r.^(3./2) ...
             .* exp(+1i.*omega./c.*r);
         %
+    case {'reference_circle'}
+        % Driving function with two stationary phase approximations,
+        % reference to circle around the focused source with radius |xref-xs|
+        %
+        % r = |x0-xs|
+        r = vector_norm(x0-xs,2);
+        %
+        % 2.5D correction factor
+        %         _____________
+        %        |        r
+        % g0 = _ |1 + ---------
+        %       \|    |xref-xs|
+        %
+        g0 = sqrt( 1 + r./vector_norm(xref-xs,2) );
+        %                       ___     ___
+        %                      | 1     |-iw  (xs-x0) nx0
+        % D_2.5D(x0,w) = g0  _ |---  _ |--- ------------- e^(i w/c |x0-xs|)
+        %                     \|2pi   \| c  |x0-xs|^(3/2)
+        %
+        % Driving signal
+        D = 1./sqrt(2.*pi) .* sqrt(-1i.*omega./c) .* g0 ...
+            .* vector_product(xs-x0,nx0,2) ./ r.^(3./2) ...
+            .* exp(+1i.*omega./c.*r);
+        %
     case 'legacy'
         % --- Old SFS Toolbox default ------------------------------------
         % 2.5D correction factor

diff --git a/SFS_time_domain/driving_functions_imp/driving_function_imp_wfs_fs.m b/SFS_time_domain/driving_functions_imp/driving_function_imp_wfs_fs.m
@@ -203,6 +203,30 @@
         delay = -1./c .* r;
         weight = g0 ./ sqrt(2.*pi) .* vector_product(xs-x0,nx0,2) ./ r.^(3./2);
         %
+    case {'reference_circle'}
+        % Driving function with two stationary phase approximations,
+        % reference to circle around the focused source with radius |xref-xs|
+        %
+        % r = |x0-xs|
+        r = vector_norm(x0-xs,2);
+        %
+        % 2.5D correction factor
+        %         _____________
+        %        |        r
+        % g0 = _ |1 + ---------
+        %       \|    |xref-xs|
+        %
+        g0 = sqrt( 1 + r./vector_norm(xref-xs,2) );
+        %                                  ___
+        %                                 | 1    (xs-x0) nx0
+        % d_2.5D(x0,t) = h_pre(-t) * g0 _ |---  ------------- delta(t+|x0-xs|/c)
+        %                                \|2pi  |x0-xs|^(3/2)
+        %
+        %
+        % Delay and amplitude weight
+        delay = -1./c .* r;
+        weight = g0 ./ sqrt(2.*pi) .* vector_product(xs-x0,nx0,2) ./ r.^(3./2);
+        %
     case 'legacy'
         % --- SFS Toolbox ------------------------------------------------
         % 2.5D correction factor