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Symmetry Protected Invariant Scattering Properties for Incident Plane Waves of Arbitrary Polarizations
Laser & Photonics Reviews ( IF 9.8 ) Pub Date : 2021-04-14 , DOI: 10.1002/lpor.202000496
Qingdong Yang 1 , Weijin Chen 1 , Yuntian Chen 1, 2 , Wei Liu 3
Affiliation  

Polarization independent Mie scattering of building blocks is fundamental for constructions of optical systems with robust functionalities. Conventional studies for such polarization independence are generally restricted to special states of either linear or circular polarizations, widely neglecting elliptically-polarized states that are generically present in realistic applications. Here, a comprehensive recipe to achieve invariant scattering properties in terms of cross sections for plane waves of arbitrary polarizations is presented, requiring only rotation symmetry and absence of optical activities. It is discovered that sole rotation symmetries can effectively decouple the two scattering channels that originate from the incident circularly polarized plane waves of opposite handedness, leading to invariance of all scattering properties for any polarizations on the same latitude circle of the Poincaré sphere. Further incorporations of extra inversion or mirror symmetries would eliminate the optical activities and thus ensure scattering property invariance for arbitrary polarizations. The all-polarization invariance revealed is induced by the joint functions of discrete spatial symmetries, reciprocity, parity conservation and helicity preservation along the forward direction. This symmetry-protected intrinsic invariance, independent of wavelength or material parameters, is robust against any symmetry-preserving perturbations, which may render extra flexibilities for designing optical devices with stable functionalities.

中文翻译:

任意极化入射平面波的对称保护不变散射特性

构建块的偏振无关 Mie 散射是构建具有强大功能的光学系统的基础。对这种偏振独立性的常规研究通常仅限于线性或圆偏振的特殊状态,广泛忽略了在实际应用中普遍存在的椭圆偏振状态。在这里,提出了在任意偏振平面波的横截面方面实现不变散射特性的综合配方,只需要旋转对称和没有光学活动。发现唯一的旋转对称性可以有效地解耦源自相反旋向的入射圆偏振平面波的两个散射通道,导致在 Poincaré 球体的同一纬度圈上的任何偏振的所有散射特性的不变性。进一步结合额外的反转或镜面对称将消除光学活动,从而确保任意偏振的散射特性不变性。揭示的全极化不变性是由沿正向的离散空间对称性、互易性、奇偶性守恒和螺旋性守恒的联合函数引起的。这种受对称保护的固有不变性与波长或材料参数无关,对任何保持对称的扰动都具有鲁棒性,这可能为设计具有稳定功能的光学器件提供额外的灵活性。进一步结合额外的反转或镜面对称将消除光学活动,从而确保任意偏振的散射特性不变性。揭示的全极化不变性是由沿正向的离散空间对称性、互易性、奇偶性守恒和螺旋性守恒的联合函数引起的。这种受对称保护的固有不变性与波长或材料参数无关,对任何保持对称的扰动都具有鲁棒性,这可能为设计具有稳定功能的光学器件提供额外的灵活性。进一步结合额外的反转或镜面对称将消除光学活动,从而确保任意偏振的散射特性不变性。揭示的全极化不变性是由沿正向的离散空间对称性、互易性、奇偶性守恒和螺旋性守恒的联合函数引起的。这种受对称保护的固有不变性与波长或材料参数无关,对任何保持对称的扰动都具有鲁棒性,这可能为设计具有稳定功能的光学器件提供额外的灵活性。揭示的全极化不变性是由沿正向的离散空间对称性、互易性、奇偶性守恒和螺旋性守恒的联合函数引起的。这种受对称保护的固有不变性与波长或材料参数无关,对任何保持对称的扰动都具有鲁棒性,这可能为设计具有稳定功能的光学器件提供额外的灵活性。揭示的全极化不变性是由沿正向的离散空间对称性、互易性、奇偶性守恒和螺旋性守恒的联合函数引起的。这种受对称保护的固有不变性与波长或材料参数无关,对任何保持对称的扰动都具有鲁棒性,这可能为设计具有稳定功能的光学器件提供额外的灵活性。
更新日期:2021-06-10
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