Assuming that my above factor of 1/sqrt(2) is correct, then we get an infinite sum 1/sqrt(2) + 1/sqrt(4) + …
To get the ratio, one needs to add the squared moduli, so 1/2+1/4+..., and that gives 1.
To get the ratio, one needs to add the squared moduli, so 1/2+1/4+..., and that gives 1.