Fernandez-Corbaton Ivan
Opt Express. 2013 Dec 2;21(24):29885-93. doi: 10.1364/OE.21.029885.
The forward and backward scattering off linear systems with discrete rotational symmetries R(z)(2π/n) with n ≥ 3 are shown to be restricted by symmetry reasons. Along the symmetry axis, forward scattering can only be helicity preserving and backward scattering can only be helicity flipping. These restrictions do not exist for n < 3. If, in addition to the n ≥ 3 discrete rotational symmetry, the system has duality symmetry (obeys the helicity conservation law), it will exhibit zero backscattering. The results pinpoint the underlying symmetry reasons for some notable scattering properties of R(z)(2π/4) symmetric systems that have been reported in the metamaterials and radar literature. Applications to planar metamaterials and solar cells are briefly discussed.
具有离散旋转对称性(R(z)(2\pi/n))（(n\geq3)）的线性系统的前向和后向散射因对称性原因而受到限制。沿着对称轴，前向散射只能保持螺旋度，而后向散射只能翻转螺旋度。对于(n<3)，这些限制不存在。如果除了(n\geq3)的离散旋转对称性外，系统还具有对偶对称性（服从螺旋度守恒定律），那么它将表现出零后向散射。这些结果指出了超材料和雷达文献中报道的(R(z)(2\pi/4))对称系统一些显著散射特性背后的对称原因。简要讨论了其在平面超材料和太阳能电池中的应用。
