由多普勒频移推导水下吸收式半反射器的辐射压力
Radiation pressure on a submerged absorptive partial reflector deduced from the Doppler shift
摘要：
当光脉冲从镜子反射时，能量和动量在电磁场和物质介质之间交换。反射光子的能量的结果变化与由反射镜的运动状态的变化引起的它们的多普勒频移直接相关。类似地，进入吸收体的光子的多普勒频移与吸收体在其与入射光的相互作用中获得的动能和动量密切相关。从多普勒频移的论点得出的交换能量和动量的表达式与从麦克斯韦方程组和洛伦兹力定律获得的表达式相同，尽管这两种方法的物理基础根本不同。在这里，我们应用多普勒频移参数淹没部分反射器（一个吸收一小部分入射光），推导过程中的光子动量的大小淹没介质。我们还讨论了具有负折射率的浸没介质的情况下，并显示了所谓的“反向”多普勒频移的情况下，当反射器是从负折射率介质分离。
英文摘要：
When a light pulse is reflected from a mirror, energy and momentum are exchanged between the electromagnetic field and the material medium. The resulting change in the energy of the reflected photons is directly related to their Doppler shift arising from the change in the state of motion of the mirror. Similarly, the Doppler shift of photons that enter an absorber is intimately tied to the kinetic energy and momentum acquired by the absorber in its interaction with the incident light. The argument from the Doppler shift yields expressions for the exchanged energy and momentum that are identical with those obtained from Maxwell's equations and the Lorentz law of force, despite the fact that the physical bases of the two methods are fundamentally different. Here we apply the Doppler shift argument to a submerged partial reflector (one that absorbs a fraction of the incident light), deducing in the process the magnitude of the photon momentum within the submerging medium. We also discuss the case of the submerging medium having a negative refractive index, and show the absence of the so-called "reversed" Doppler shift when the reflector is detached from the negative-index medium.
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