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radiatingwavefunction.m
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% Radiating spherical wavefunction class
%
% e = radiatingwavefunction(l,j,kwave,x0) returns e, which represents a
% radiating wavefunction with degree l and order j, wavenumber kwave and
% origin x0.
%
% f = e.evaluate(points) evaluates the wavefunction at the points
% specified in the 3 x n matrix points.
%
% [dx,dy,dz] = e.evaluateGradient(points) evaluates the gradient of the
% wavefunction (dx,dy,dz) at the points specified in the 3 x n matrix
% points.
%
% G = e.evaluateGradient(points) returns the gradient in a 3 x n matrix.
%
% cof = e.get_coefficients(x0,n) returns the regular wavefunction
% expansion coefficients of the wavefunction. The expansion is centred at
% x0 and has order n.
%
% See also: wavefunction, radiatingwavefunction.
%
% Stuart C. Hawkins - 20 April 2021
% Copyright 2019-2022 Stuart C. Hawkins
%
% This file is part of TMATROM3
%
% TMATROM3 is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% TMATROM3 is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with TMATROM3. If not, see <http://www.gnu.org/licenses/>.
classdef radiatingwavefunction < wavefunction
properties
end
methods
%-----------------------------------------
% constructor
%-----------------------------------------
function self = radiatingwavefunction(varargin)
% call parent constructor
self = self@wavefunction(varargin{:});
end
%-----------------------------------------
% the part of the wavefunction that depends
% on r
%-----------------------------------------
% Note: this is used by the parent wavefunction class for
% evaluating the wavefunction
function val = radial_function(self,r)
val = sphbesselh(self.degree,r);
end
%-----------------------------------------
% the derivative of the part of the wavefunction
% that depends on r
%-----------------------------------------
% Note: this is used by the parent wavefunction class for
% evaluating the gradient of the wavefunction
function val = derivative_radial_function(self,r)
val = sphbesselhd(self.degree,r);
end
%-----------------------------------------
% get the expansion coefficients of the wavefunction
%-----------------------------------------
function cof = get_coefficients(self,centre,nmax)
error('not implemented yet')
end
end
end