This yields valuable information about the single structure. Examples for such numerical routines are finite element solvers, finite-difference time-domain methods, discrete dipole approximation, or similar tools. They all rely on the numerical solution of Maxwell’s equations while considering a given distribution of material in space. With current possibilities it is fairly straightforward to calculate the scattered fields of an arbitrary object illuminated with a plane wave or more complicated illumination scenarios. This also triggered the need for efficient computational tools to back up experimental findings with simulations that allow to understand the underlying principles that cause the properties of the respective nanomaterials. The latter constitute the base for nanomaterials with advanced properties. Recent advances in nanofabrication technology made the creation of large volumes of particles with complicated geometries possible. Keywords: metamaterials nanooptics numerics scattering T-matrix We show the advantages of the method to obtain useful information, which is hard to access when relying solely on full wave solvers. We demonstrate the T-matrix calculation at four examples of relevant optical nanostructures currently at the focus of research interest. The finite element method is particularly advantageous, because it is fast and efficient. ![]() Calculating these fields is readily done by widely available tools. Here, we present a method to calculate the T-matrix of an arbitrary object numerically, solely by illuminating it with multiple plane waves and analyzing the scattered fields. Moreover, a multitude of interesting properties can be derived from the T-matrix such as the scattering cross section for a specific illumination and information about symmetries of the object. Optically small objects, e.g., spheres, can often be modeled as electric dipoles, but which multipole moments are excited for larger particles possessing a much more complicated shape? The T-matrix answers this question, as it contains the entire information about how an object interacts with any electromagnetic illumination. Given an arbitrarily complicated object, it is often difficult to say immediately how it interacts with a specific illumination.
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