用光的光的衍射解释受迫谐振子
A Forced Harmonic Oscillator, Interpreted as Diffraction of Light
摘要:
研究了一个固有频率随时间变化的简谐振子。它示出,这样的系统的时间演化可以写在一个简化的形式与菲涅耳积分,只要固有频率的变化是足够慢的振荡的时间周期相比。由于这样一个简单的公式,我们发现,第一次,一个受迫谐振子与缓慢变化的固有频率基本上相当于光的衍射。
英文摘要:
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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