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arXiv · 2004.12675

A Forced Harmonic Oscillator, Interpreted as Diffraction of Light

Toshihiko Hiraiwa·Kouichi Soutome·Hitoshi Tanaka
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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.

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Toshihiko Hiraiwa, Kouichi Soutome, Hitoshi Tanaka. 2020-04-27. A Forced Harmonic Oscillator, Interpreted as Diffraction of Light. https://doi.org/10.1103/physreve.102.032211

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