Sharply focusing a radially polarized laser beam using a gradient Mikaelian’s microlens

Focusing a radially polarized annular Gaussian beam with a gradient Mikaelian’s microlens is simulated using a radial version of the FDTD method (finite-difference time domain), in which Maxwell’s equations in the cylindrical coordinates are solved in the MATLAB 7.0 environment. We show that the focal spot size (the area with larger-than half-maximum intensity) can be made as small as 0.126λ2, with focal spot diameter being 0.40λ.