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 that a forced harmonic oscillator with a slowly varying natural frequency is essentially equivalent to diffraction of light.

中文翻译：

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强制谐波振荡器被解释为光的衍射

我们研究了一个自然频率随时间变化的简单强制谐波振荡器。结果表明，只要固有频率的变化比振荡的时间周期足够慢，就可以用菲涅耳积分以简化的形式写出这种系统的时间演化。由于这样简单的公式，我们发现自然频率变化缓慢的强制谐波振荡器基本上等效于光的衍射。