镜像约束下的非对称金光栅光学霍尔整流：Edelstein转换与相位种子Kerr四波混频不稳定性
Mirror-Constrained Optical Hall Rectification in Asymmetric Gold Gratings:\\ Edelstein Conversion and a Phase-Seeded Kerr Four-Wave Mixing Instability
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中文总结 AI 辅助
该研究提出非对称金光栅中横向光学整流的镜像奇性因子动力学实现，通过四波混频和弱背散射产生Kerr方向不稳定性，实现自旋极化驱动的侧跳类电流，并验证了超临界分岔行为。
中文摘要 AI 辅助
横向光学整流已在二维非对称Au光栅中被报道，尽管理想轮廓$h(x)$保留了$xz$镜像$\nMe:y\to-y$。由于$J_y$在$\nMe$下是奇性的，而$p$偏振双线性项$|E_x|^2$、$|E_z|^2$和$\mathrm{Re}(E_xE_z^*)$是偶性的，横向直流电流需要一个不同的镜像奇性因子$\Lamy$。我们构建了一个对称性完备的有效模型，结合了与原点无关的胞不变量$\Astr=\mathrm{Im}(h_1^2h_2^*)$、Drude–Edelstein自旋极化和自旋–轨道转换。然后，我们提出了有限宽度器件中$\Lamy$的动力学实现方案。在$k_y\simeq0$处驱动的类泵浦等离激元模式通过产生自Kerr和交叉Kerr位移的三阶极化率，生成一对横向表面等离激元极化激元准正态模式$(K_x,\pm q_y)$。四波混频产生这对模式并锁定其相位和，但本身不能改变对布居差。弱相干背散射使相对驱动相位可观测；来自入射$k_y$、光斑位移、边缘或无序的小相位差随后展开Kerr方向不稳定性并确定性地选择其符号。由此产生的布居不平衡在结构相关的$\Astr\Lamy\langle j_xs_y\rangle_t$侧跳类通道中提供了动力学镜像奇性因子$\Ldyn=\lambda_\eta\eta$，该通道在中心对称光栅中因$\Astr=0$而消失。我们给出了完整的三模方程、仅泵浦和饱和态的Bogoliubov问题、不完美分岔约化以及经过验证的归一化数值实现。归一化方程表现出稳健的超临界分岔，具有约二分之一的临界指数和相位反转的分支选择。
英文摘要
Transverse optical rectification has been reported in a one-dimensional asymmetric Au grating even though an ideal profile $h(x)$ retains the $xz$ mirror $\Me:y\to-y$. Because $J_y$ is odd under $\Me$, whereas the $p$-polarized bilinears $|E_x|^2$, $|E_z|^2$, and $\mathrm{Re}(E_xE_z^*)$ are even, the transverse dc current requires a distinct mirror-odd factor $\Lamy$. We formulate a symmetry-complete effective model combining the origin-independent cell invariant $\Astr=\mathrm{Im}(h_1^2h_2^*)$, Drude--Edelstein spin polarization, and spin--orbit conversion. We then propose a dynamical realization of $\Lamy$ for a finite-width device. A driven pump-like plasmonic mode at $k_y\simeq0$ generates a mirror pair of transverse surface-plasmon-polariton quasinormal modes $(K_x,\pm q_y)$ through the same third-order susceptibility that produces self- and cross-Kerr shifts. Four-wave mixing creates the pair and locks its phase sum but, by itself, cannot change the pair-population difference. Weak coherent backscattering makes the relative drive phase observable; a small phase difference from incident $k_y$, spot displacement, edges, or disorder then unfolds a Kerr directional instability and deterministically selects its sign. The resulting population imbalance supplies the dynamical mirror-odd factor $\Ldyn=λ_ηη$ in the structure-dependent $\Astr\Lamy\langle j_xs_y\rangle_t$ side-jump-like channel, which vanishes for the centered symmetric grating because $\Astr=0$. We give the complete three-mode equations, the pump-only and saturated-state Bogoliubov problems, the imperfect-pitchfork reduction, and a validated normalized numerical realization. The normalized equations exhibit a robust supercritical pitchfork with an approximately one-half critical exponent and phase-reversed branch selection.
发表机构
- University of Central Florida（中佛罗里达大学）
- U.S. Army Combat Capabilities Development Command Soldier Center（美国陆军作战能力发展司令部士兵中心）
机构由 AI 辅助整理，请以论文原文为准。
