用多球Mie散射理论研究介质球颗粒圆形阵列中的回音壁模
Investigation of Whispering Gallery Modes in Circular Arrays of Dielectric Spherical Particles using multisphere Mie Scattering formalism
摘要：
品质因数取决于所使用的材料。如果这些阵列由金属颗粒组成，则它们不能具有高品质因数，因为它们的光吸收限制了性能。在本文中，我们解决了以下问题：可以形成束缚模式的光的吸收可以忽略不计的电介质系统？我们在多球Mie散射理论的框架内，用最简单的类偶极方法对球形粒子的圆形阵列进行了研究，结果表明：（1）至少在折射率n > 2的情况下，可以在10个或更多个粒子的阵列中获得高质量的模式，因此可以使用像TiO 2或GaAs这样的光学材料;（2）大多数束缚模具有垂直于圆平面的近似横偏振;（3）在特别有趣的TiO 2颗粒的情况下，（金红石相，n = 2.7），最束缚模式的品质因数随着10个额外颗粒的加入几乎增加了一个数量级，而对于由GaAs制成的颗粒，添加十个额外的颗粒，品质因数增加了几乎两个数量级。更高的多极贡献的考虑已经证明，如果折射率nr大于2，则偶极方法的误差不超过百分之一。研究了不影响品质因数的最小可接受无序度。
英文摘要：
quality factor depending on the material used. If these arrays consist of metal particles, then they cannot have a high quality factor because their light absorption restricts performance. In this paper we address the following question: can bound modes be formed in dielectric systems where the absorption of light is negligible? Our investigation of circular arrays of spherical particles within the framework of the multisphere Mie scattering theory using the simplest dipolarlike approach shows that (1) high quality modes in an array of 10 or more particles can be attained at least for a refractive index n > 2, so optical materials like TiO2 or GaAs can be used; (2) the most bound modes have nearly transverse polarization perpendicular to the circular plane; (3) in a particularly interesting case of TiO2 particles (rutile phase, n = 2.7), the quality factor of the most bound mode increases almost by an order of magnitude with the addition of 10 extra particles, while for particles made of GaAs the quality factor increases by almost two orders of magnitude with the addition of ten extra particles. The consideration of higher multipole contributions has demonstrated that the error of the dipolar approach does not exceed one percent if the refractive index nr is greater than 2. Minimum acceptable disordering not affecting the quality factor is studied.
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