论文标题
强制谐波振荡器,被解释为光的衍射
A Forced Harmonic Oscillator, Interpreted as Diffraction of Light
论文作者
论文摘要
我们研究了一个简单的强制谐波振荡器,固有频率随时间变化。结果表明,只要与振荡时间相比,固有频率的变化足够缓慢,就可以用菲涅尔积分的简化形式写入这种系统的时间演变。由于如此简单的公式,我们首次发现,具有缓慢变化的固有频率的强制谐波振荡器本质上等同于光的衍射。
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.