Using the Discrete-Dipole Approximation (DDA) we study scattering-angle dependences of the orientationally averaged Mueller matrix elements for small Möbius particles with different chirality. A Möbius particle is a strip of a certain width and thickness, the ends of which are attached to each other after twisting one of them at an angle by a multiple of □. The Mueller matrices Mik for such particles have 16 non-zero elements. The scattering-angle dependences of the intensity M11, linear polarization degree (-M12/M11), and Circular Intensity Differential Scattering (CIDS = -M14/M11) show their sensitivity to the refractive index and number of the strip twisting. For instance, the CIDS depends significantly on the complex part of the refractive index. Particles with more twists show a decrease in the maximum value of the positive branch of linear polarization and an increase in the width and minimum of the negative branch. The twist parameter's influence on CIDS is non-monotonic, initially increasing and then approaching zero with further twisting.

中文翻译：

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莫比乌斯粒子的光散射


使用离散偶极子近似 （DDA），我们研究了具有不同手性的小莫比乌斯粒子的方向平均 Mueller 矩阵元素的散射角依赖性。莫比乌斯粒子是具有一定宽度和厚度的条带，其末端在以一定角度扭曲 □ 倍后相互连接。此类粒子的 Mueller 矩阵 Mik 有 16 个非零元素。强度 M11、线性偏振度 （-M12/M11） 和圆形强度差分散射 （CIDS = -M14/M11） 的散射角依赖性显示了它们对带材扭曲的折射率和数量的敏感性。例如，CIDS 在很大程度上取决于折光率的复数部分。扭曲较多的粒子显示线性极化的正分支的最大值减小，而负分支的宽度和最小值增加。twist 参数对 CIDS 的影响是非单调的，最初增加，然后随着进一步的扭曲而接近零。