Generalized Lorenz-Mie theory of complex source vortex beams

Nanoparticles find their applications in many areas from biosensing to nanomanufacturing and many others [1] . First successful attempt to describe light interaction with particles started with Gustav Mie back in 1908 [2] . Although Mie theory works well with plane waves, the tightly focused electromagnetic field needs more attention and detail to be used in calculations. As it was noticed the polarization of tightly focused beams plays crucial role in describing beam at focus, it has influence on the spot size as well on the shape. These [3] and others insights have shown noticeable differences between classical Mie theory. To solve this a generalized Lorenz-Mie theory of complex source beams has to be introduced. It gives accurate description of tightly focused radially, azimuthally, linearly, and circularly polarized monochromatic vector beams [4] and can be further extended to calculate the interaction with nanoparticles and their clusters.