Networks are a fundamental part of our world. They appear in everything from city water grids to social connections. Recently, there has been work from both the physics and mathematics communities to develop network lasers - lasers made up of a network of optically-active edges that can be tailored to emit certain wavelengths and intensities of light. The wave equation can be transformed into an eigenvalue problem on a metric graph using the Fourier Transform, and some results of this study are presented. Several application studies are also discussed in which researchers have explored network lasers and their properties. New work will also be presented including a numerical study of the wave equation and an analytical/numerical study of the spectral properties of the wave equation.
