arXiv subjects
Publications and source records attributed to Rahul Panchal.
We prove the discrete Rubio de Francia extrapolation theorem for a pair of quasi non-increasing sequences with $\mathcal{QB}_{\beta, p}$ weight class. Also, a weight characterization of the boundedness of the generalized discrete Hardy averagin19g operator on the class of quasi non-increasing sequences from $l_w^p(\mathbb{Z}^+)$ is proved.
Modulation of the polarization state of optical beams is crucial in advanced optical applications such as polarization microscopy, polarization rotation, and medical imaging. We demonstrate a continuous polarization rotator by utilizing the liquid crystals (LC) in theta-cell configuration comprising of circular and parallel alignment of LC on two aligning glass substrates. A rotation of plane of polarization up to 160 degree is observed using Stokes polarimetry and substantiated by the mathematical analysis using Mueller matrix formalism. Further, the device is demonstrated as a plane of polarization detector with high precision detection angle. The plane of polarization is analyzed through single shot imaging of the intensity distribution of transmitted light through the LC theta-cell.