A crystalline lattice comprises thousands of coupled oscillators in a three dimensional matrix. A classical treatment of lattice dynamics of is of interest since classical mechanics underlies many fea...A crystalline lattice comprises thousands of coupled oscillators in a three dimensional matrix. A classical treatment of lattice dynamics of is of interest since classical mechanics underlies many features of the motion of atoms in a crystalline lattice. The linear discrete lattice chain is the simplest example of many-body coupled oscillator systems that can illuminate the physics underlying a range of interesting phenomena in solid-state physics.