Detection of nanocylinder dimensions using sequential spatial mode projection

Abstract

We present a dimensional assessment of a nanocylinder through spatial mode projection. We analytically solve the output power of the beam that is incident to a nanocylinder and whose reflection is projected onto various modes. Among the modes that we try, the Gaussian mode and the tailored cylindrical mode produce power expression P’s, that can be related to the height and the radius. The Laguerre-gausian beams on the other hand, either do not show any expression that has a relation to the dimensions, or the factors containing these dimensions have negligible contributions. However, the P’s obtained for both Gaussian mode and the tailored cylindrical mode have inseparable factors that contain the information about the height and the radius. We therefore propose that a sequential projection of the Gaussian mode and the tailored mode to explicitly determine the height and the radius.