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arXiv 2201.11559physics.opticsnlin.CD
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多模非线性波导阵列近场和远场光强分布的热力学描述

A thermodynamic description of the near- and far-field intensity patterns emerging from multimode nonlinear waveguide arrays

Mahmoud A. Selim, Fan O. Wu, Huizhong Ren, Mercedeh Khajavikhan, Demetrios Christodoulides

摘要:

非线性高度多模光子系统在光学中是普遍存在的。然而,在多模环境中的非线性行为所产生的纯粹的复杂性,在描述这些系统提出了理论上的挑战。在这项工作中,我们部署的概念,从光学热力学研究近场和远场发射强度模式出现的非线性波导阵列。作为广泛的热力学变量的系统不变量,推导出一个精确的方程指示的非线性阵列的响应。在这方面,近场和远场特性出现的弱非线性波导晶格解析解决。我们表明,统计,这些图案和由此产生的远场亮度的光学温度和相应的化学势。讨论了与这种配置的熵相关的扩展性。这里提出的热力学结果被发现是在良好的协议从非线性耦合模理论得到的数值模拟。

英文摘要:

Nonlinear highly multimode photonic systems are ubiquitous in optics. Yet, the sheer complexity arising from the action of nonlinearity in multimode environments has posed theoretical challenges in describing these systems. In this work, we deploy concepts from optical thermodynamics to investigate the near- and far-field emission intensity patterns emerging from nonlinear waveguide arrays. An exact equation dictating the response of a nonlinear array is derived in terms of the systems invariants that act as extensive thermodynamic variables. In this respect, the near- and far-field characteristics emerging from a weakly nonlinear waveguide lattice are analytically addressed. We show that statistically, these patterns and the resulting far-field brightness are governed by the optical temperature and its corresponding chemical potential. The extensivity associated with the entropy of such configurations is discussed. The thermodynamic results presented here were found to be in good agreement with numerical simulations obtained from nonlinear coupled-mode theory.

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