arXiv subjects
Publications and source records attributed to Varun Bhardwaj.
We investigate the limit-point/limit-circle classification for the differential equation $Ju'+qu=λwu$ where $J=\big(\begin{smallmatrix}0&-1\\ 1&0\end{smallmatrix}\big)$ and $q$ and $w$ are matrices whose entries are distributions of order zero with $q$ Hermitian and $w$ non-negative. We identify the situations when the classical alternative of Weyl works and when it fails.
Lithium Niobate (LiNbO$_3$) is a piezoelectric crystal with a high electromechanical coupling coefficient. The development and miniaturization of acousto-electronics, and acousto-optics modulation filters, are primarily based on surface acoustic waves (SAWs) and bulk wave propagation in anisotropic crystals, such as LiNbO$_3$, Lithium Tantalate, and Quartz). It has the potential to be used in nanoscale acoustics. The mechanical properties of the piezoelectric materials depend on the chemical compositions and crystal growth conditions. These excellent features are due to higher second-order optoacoustic nonlinearity with low losses in the broadband spectrum.