Calculate the focal spot radius $w_0^{\prime}$ and Rayleigh length $z_R$ of a $400 \mathrm{~nm}$ laser beam (radius $w_0=1.5 \mathrm{~mm}$ ), which is focused by a microscope objective (focal length $f=4 \mathrm{~mm}$ ) within a microholographic DVD (index of refraction $n=1.5)$. What is the grating period?