📄 balpha.m
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function out = balpha(p,af,idx,type)xC = p.con(p.ty2(idx),15);xL = p.con(p.ty2(idx),14);switch type case 1 kx1 = sqrt(xC./xL); kx2 = kx1.*kx1; kx3 = kx2.*kx1; kx4 = kx3.*kx1; ckf = cos(kx1.*(pi-af)); skf = sin(kx1.*(pi-af)); s2a = sin(2*af); caf = cos(af); saf = sin(af); out = (pi*(kx4-2*kx2+1).*ckf)./(xC.*((pi*kx4-pi-2*kx4.*af+2*af.*kx2- ... kx4.*s2a+kx2.*s2a-4*kx2.*caf.*saf).*ckf -4*kx3.*caf.*caf.*skf)); case 2 kx1 = sqrt(xC./xL); kx2 = kx1.*kx1; kx3 = kx2.*kx1; kx4 = kx3.*kx1; ckf = cos(kx1.*(-pi+af)); skf = sin(kx1.*(-pi+af)); ck2 = ckf.*ckf; c2a = cos(2*af); s2a = sin(2*af); caf = cos(af); saf = sin(af); ca2 = caf.*caf; out = 2*pi*(-kx4+2*kx2-1).*(2*skf.*skf.*kx1.*kx3.*ca2-ck2.*kx4+ck2.*kx2- ... ck2.*kx4.*c2a+ck2.*kx2.*c2a+2*ck2.*kx2.*saf.*saf-2*ck2.*kx2.*ca2- ... 4*ckf.*kx3.*caf.*skf.*saf+2*kx3.*ca2.*ck2.*kx1)./xC./(ckf.*pi.*kx4- ... ckf.*pi-2*ckf.*kx4.*af+2*ckf.*af.*kx2-ckf.*kx4.*s2a+ckf.*kx2.*s2a- ... 4*ckf.*kx2.*caf.*saf+4*kx3.*ca2.*skf).^2;end
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