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Alternative referencing scheme for focused sources in WFS #146

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May 25, 2017
Merged

Alternative referencing scheme for focused sources in WFS #146

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24 changes: 24 additions & 0 deletions SFS_monochromatic/driving_functions_mono/driving_function_mono_wfs_fs.m
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Original file line number Diff line number Diff line change
Expand Up @@ -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
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24 changes: 24 additions & 0 deletions SFS_time_domain/driving_functions_imp/driving_function_imp_wfs_fs.m
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Original file line number Diff line number Diff line change
Expand Up @@ -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
Expand Down