function result = mie_esquare2(m, x, n) % Test of term-wise equality of absorption efficiency % n is term number, x size parameter, % m refractive index of sphere, Sept. 13, 2002 nj=100*round(2+x+4*x.^(1/3))+100; nu =(n+0.5); m1=real(m); m2=imag(m);e2=imag(m.*m); abcd=mie_ab(m,x); an=abcd(1,n);bn=abcd(2,n); an2=abs(an).^2; bn2=abs(bn).^2; abcd=mie_cd(m,x); cn=abcd(1,n);dn=abcd(2,n); cn2=abs(cn).^2; dn2=abs(dn).^2; dx=x/nj; es=[]; for j=1:nj, xj=dx.*j; z=m.*xj; sqz= sqrt(0.5*pi./z); bz = besselj(nu, z).*sqz; % This is j_n(z) bz2=(abs(bz)).^2; b1z = besselj(nu-1, z).*sqz; % This is j_n-1(z) az = b1z-n.*bz./z; az2=(abs(az)).^2; z2=(abs(z)).^2; n1 =n*(n+1); n2 =2*(2*n+1); mn=real(bz2.*n2); nn1=az2; nn2=bz2.*n1./z2; nn=n2.*real(nn1+nn2); es=[es 0.25*(cn2*mn+dn2*nn)]; end; xxj=[0:dx:x]; een=[es(1) es]; plot(xxj,een); title(sprintf('Sq. Ampl. Field in Sphere of Mode n=%g, m=%g+%gi, x=%g',n,m1,m2,x)) xlabel('r k') x2=x.*x; nj1=nj+1; en1=0.5*een(nj1).*x2; % End-Term correction in integral enx=een*(xxj.*xxj)'-en1; % Trapezoidal radial integration inte=dx.*enx; Qabs=4.*e2.*inte./x2; Qab=(n2/x2)*(real(an)-an2+real(bn)-bn2); result=[Qabs;Qab];