高多模非线性光子系统中的光学热力学分压道尔顿定律
Dalton's law of partial optical thermodynamic pressures in highly multimoded nonlinear photonic systems
AI总结：
该研究将道尔顿分压定律推广至高多模非线性光子系统，证明热平衡下各偏振光场的热力学分压可直接相加得到总电动力辐射压，并经模拟与 Maxwell 应力张量方法吻合。
摘要：
我们表明，在高多模非线性光子系统中，由不同种类光场产生的光学热力学压力遵循道尔顿分压定律。在多模情形下，光学热力学压力被定义为与系统总模数相关的广延变量的共轭量，并与系统物理边界处施加的实际电动力辐射力直接相关。在这里，我们将这一概念扩展到支持不同种类光场的光子构型。在热平衡条件下，我们正式推导了一个方程，建立了部分热力学压力与每种偏振种类所施加的电动力辐射压力之间的直接联系。我们的理论框架提供了一种直接方法，可通过系统的热力学变量量化总辐射压力，而无需借助 Maxwell 应力张量形式体系。本质上，我们表明此类布置中的总电动力压力可以根据初始激发条件轻松获得，从而避免了对极其复杂的多模动力学进行耗时的模拟。为说明我们结果的有效性，我们在支持两种偏振种类的多模非线性光学结构中进行了数值模拟，并证明与 Maxwell 应力张量方法具有极好的一致性。
英文摘要：
We show that in highly multimoded nonlinear photonic systems, the optical thermodynamic pressures emerging from different species of the optical field obey Dalton's law of partial pressures. In multimode settings, the optical thermodynamic pressure is defined as the conjugate to the extensive variable associated with the system's total number of modes and is directly related to the actual electrodynamic radiation forces exerted at the physical boundaries of the system. Here, we extend this notion to photonic configuration supporting different species of the optical field. Under thermal equilibrium conditions, we formally derive an equation that establishes a direct link between the partial thermodynamic pressures and the electrodynamic radiation pressures exerted by each polarization species. Our theoretical framework provides a straightforward approach for quantifying the total radiation pressures through the system's thermodynamics variables without invoking the Maxwell stress tensor formalism. In essence, we show that the total electrodynamic pressure in such arrangements can be obtained in an effortless manner from initial excitation conditions, thus avoiding time-consuming simulations of the utterly complex multimode dynamics. To illustrate the validity of our results, we carry out numerical simulations in multimoded nonlinear optical structures supporting two polarization species and demonstrate excellent agreement with the Maxwell stress tensor method.
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