Bekshaev Aleksandr Y, Bliokh Konstantin Y, Nori Franco
I. I. Mechnikov National University, Dvorianska 2, Odessa, 65082, Ukraine.
Opt Express. 2013 Mar 25;21(6):7082-95. doi: 10.1364/OE.21.007082.
Mie theory is one of the main tools describing scattering of propagating electromagnetic waves by spherical particles. Evanescent optical fields are also scattered by particles and exert radiation forces which can be used for optical near-field manipulations. We show that the Mie theory can be naturally adopted for the scattering of evanescent waves via rotation of its standard solutions by a complex angle. This offers a simple and powerful tool for calculations of the scattered fields and radiation forces. Comparison with other, more cumbersome, approaches shows perfect agreement, thereby validating our theory. As examples of its application, we calculate angular distributions of the scattered far-field irradiance and radiation forces acting on dielectric and conducting particles immersed in an evanescent field.
米氏理论是描述传播的电磁波被球形粒子散射的主要工具之一。倏逝光场也会被粒子散射,并施加可用于光学近场操纵的辐射力。我们表明,通过将米氏理论的标准解旋转一个复角,米氏理论可以自然地用于倏逝波的散射。这为散射场和辐射力的计算提供了一个简单而强大的工具。与其他更繁琐的方法进行比较,结果显示出完美的一致性,从而验证了我们的理论。作为其应用示例,我们计算了散射远场辐照度的角分布以及作用于浸没在倏逝场中的电介质和导电粒子上的辐射力。