Separation of variables method for multilayered nonspherical particles

Light scattering by a multilayered spheroidal particle

“…Calculations show that the method suggested in this paper gives results of high accuracy and can be used in a wide range of the particle parameters. This confirms the conclusion made in [3] that the EBCM with a corresponding spheroidal basis is more preferable in the treatment of multilayered confocal spheroids.…”

“…The numerical code has been examined by using various tests that include internal control (see Table 1), a comparison with the known results for homogeneous and core-mantle spheroids and multilayered spheres [20] (Fig. 2) as well as a comparison with the calculations for multilayered spheroids based on the EBCM with a spherical basis [1], the SVM with a spherical basis [3], and the quasistatic approximation [21]. We also have considered absorbing and dielectric particles with a different number of layers and various aspect ratios.…”

“…Layered axisymmetric particles (including spheroids) were also treated by the T -matrix method (e.g., [9,10]) and generalized multipole technique or null-field method (e.g., [11]). However, these methods did not provide the adequate numerical results for strongly nonspherical particles with a large number of layers (see discussion in [3]).…”

“…A detailed knowledge of the optics of inhomogeneous (layered) non-spherical particles is required in many scientific and industrial applications. Numerical treatment of these particles is a very complicated problem, especially when the particle size is not small and (or) the particle shape appreciably deviates from spherical (see [1][2][3] for a review of available methods). However, for one of the simplest cases, multilayered spheroids, rather fast calculations of a high accuracy can be performed by the method of separation of variables (SVM) and the extended boundary condition method (EBCM).…”

“…However, for one of the simplest cases, multilayered spheroids, rather fast calculations of a high accuracy can be performed by the method of separation of variables (SVM) and the extended boundary condition method (EBCM). Both methods can be used with spherical or spheroidal basis so that the electromagnetic fields are expanded in terms of spherical or spheroidal wave functions, respectively [3,4]. As a result, characteristics of scattered radiation can be calculated by using the same expressions.…”