标题： 离散混沌相位表面产生的量子化轨道角动量 显示英文标题

标题： Quantized Orbital Angular Momentum from Discrete Chaotic Phase Surfaces

摘要： 我们提出了一种新的理论，用于通过具有离散整数偏置分布的混沌相位表面生成轨道角动量（OAM）。 我们推导了基本的选择规则，这些规则决定了哪些OAM模式可以被相干生成。 我们的分析表明，当偏置参数取与离散OAM本征空间匹配的整数值时，仅存在系综平均的OAM，从而产生“允许”和“禁止”的OAM水平。 我们推导了OAM功率谱的解析表达式，并展示了在允许流形内的普遍标度行为。 这些理论预测通过全面的蒙特卡罗模拟得到了验证，模拟结果确认了选择规则，禁止水平的抑制因子超过10^4，并以极高的准确性展示了普遍标度行为。 显示英文摘要

摘要： We present a new theory for orbital angular momentum (OAM) generation by chaotic phase surfaces with discrete integer bias distributions. We derive fundamental selection rules that determine which OAM modes can be coherently generated. Our analysis shows that ensemble-averaged OAM exists only when the bias parameter takes integer values that match the discrete OAM eigenspace, creating "allowed" and "forbidden" OAM levels. We derive analytical expressions for the OAM power spectrum and demonstrate universal caling behavior within the allowed manifold. These theoretical predictions are validated by comprehensive Monte Carlo simulations, which confirm the selection rules with a forbidden-level suppression factor exceeding 10^4 and demonstrate the universal scaling with exceptional accuracy.