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arXiv 1802.04059physics.opticsgr-qc
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沿空间曲线传播的电磁波

Electromagnetic wave propagating along a space curve

Meng-Yun Lai, Yong-Long Wang, Guo-Hua Liang, Fan Wang, Hong-Shi Zong

摘要:

利用薄层近似方法,导出了电磁波沿空间曲线传播的有效方程。我们发现了内禀自旋-轨道、外禀自旋-轨道、外禀轨道角动量和内禀轨道角动量之间的扭转耦合,这些耦合可以导致几何相位、自旋和轨道霍尔效应。我们还证明了由曲率引起的螺旋度反转可以将右旋圆极化的电磁波转换为左旋极化的电磁波,反之亦然。最后,我们证明了有效动力学的规范不变性是由几何诱导规范势保护的。

英文摘要:

Using the thin-layer approach, we derive the effective equation for the electromagnetic wave propagating along a space curve. We find intrinsic spin-orbit, extrinsic spin-orbit and extrinsic orbital angular momentum and intrinsic orbital angular momentum couplings induced by torsion, which can lead to geometric phase, spin and orbital Hall effects. And we show the helicity inversion induced by curvature that can convert the right-handed circularly polarized electromagnetic wave into left-handed polarized one, vice verse. Finally, we demonstrate that the gauge invariance of the effective dynamics is protected by the geometrically induced gauge potential.

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