compute_Sapj.m
e1aafe9a98d8shear_version

compute_Sapj.m
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			function [ Sapj ] = compute_Sapj(p, j, Kr, Kz, Napj, specie, phi, MODEL, GRID)
			%COMPUT_SAPJ compute the non linear term for moment pj specie a
			% perform a convolution by product of inverse fourier transform and then
			% put the results back into k space with an FFT
			Jmax = GRID.jmaxe * (specie=='e')...
			+ GRID.jmaxi * (specie=='i');
			%padding
			Pad = 2.0;
			Sapj = zeros(numel(Kr), numel(Kz));
			F = zeros(numel(Kr), numel(Kz));
			G = zeros(numel(Kr), numel(Kz));
			for n = 0:Jmax % Sum over Laguerre

			for ikr = 1:numel(Kr)
			for ikz = 1:numel(Kz)
			kr = Kr(ikr); kz = Kz(ikz);
			BA = sqrt(kr^2+kz^2)*...
			(MODEL.sigma_esqrt(2) (specie=='e')...
			+ sqrt(2MODEL.tau_i) (specie=='i'));

			%First conv term
			F(ikr,ikz) = (kz-kr).phi(ikr,ikz).kernel(n,BA);
			%Second conv term
			G(ikr,ikz) = 0.0;
			for s = 0:min(n+j,Jmax)
			G(ikr,ikz) = ...
			G(ikr,ikz) + dnjs(n,j,s) .* squeeze(Napj(p+1,s+1,ikr,ikz));
			end
			G(ikr,ikz) = (kz-kr) .* G(ikr,ikz);
			end
			end
			%Conv theorem
			Sapj = Sapj + conv_thm_2D(F,G,Pad);
			end
			end