A Forced Harmonic Oscillator, Interpreted as Diffraction of Light
Classical Physics
2020-09-16 v2 Optics
Abstract
We investigate a simple forced harmonic oscillator with a natural frequency varying with time. It is shown that the time evolution of such a system can be written in a simplified form with Fresnel integrals, as long as the variation of the natural frequency is sufficiently slow compared to the time period of oscillation. Thanks to such a simple formulation, we found, for the first time, that a forced harmonic oscillator with a slowly-varying natural frequency is essentially equivalent to diffraction of light.
Keywords
Cite
@article{arxiv.2004.12675,
title = {A Forced Harmonic Oscillator, Interpreted as Diffraction of Light},
author = {Toshihiko Hiraiwa and Kouichi Soutome and Hitoshi Tanaka},
journal= {arXiv preprint arXiv:2004.12675},
year = {2020}
}
Comments
4 pages, 3 figures