Anisotropic Mechanical Harmonic Oscillator In Lissajous Curve 3D Using Spreadsheet Excell: A New Aproach To Visualize Three Dimensional Optical Instrument

摘要

It is proposed a new approach of three dimensional optical instrument using spreadsheet excell by which ray trajectories or anisotropic mechanical harmonic oscillator form Lissajous curves. An important property of this curve is that a three-dimensional region of space can be portrayed stigmatically with perspective projection both azimuthal rotation and altitude rotation. The results present not only a plentiful lisajuos curve as long as the ratio of those frequencies of oscillation is rational, but also a deeper understanding for students in superposition wave concept. Even more, simulation of ray trajectory or anisotropic mechanical harmonic oscillator with spreadsheet excell simplify students to explore the problem solving in optical wave. In addition, because analogy of the property of light emerged from one point then converges to another in the lisajous curve is the same as the light property emanated from any point within the Lissajous lens, this approach is considered as an optical instrument.