Many-body iterative T-matrix method for large aspect ratio particles

Scattering of 1-D periodic scatterer and asymptotic comparison using the many-body iterative T-matrix method

“…Suppose, b ðiÞ mn and, q ðiÞ mn are the expansion coefficients for the incident field and scattered field of the i-th sub-scatterer, and a oðiÞ mn , b oðiÞ mn and p oðiÞ mn , q oðiÞ mn are the expansion coefficients of the 1-D periodic scatterer relative to the frame of reference of the i-th sub-scatter. In terms of the MBIT method [17,27], the relationship of the series of expansion coefficients can be represented as …”

“…Up to the present, the MBIT method has only been applied to scatterers with axial rotational symmetry [17,27,38]. For sub-scatterers without axial rotational symmetry, taking a hexagonal prism unit as an example, the method cannot be directly applied because the smallest circumscribed sphere of adjacent units will intersect with its side faces besides its vertices of end faces.…”

“…(18) between the incident and scattered field of the multilayered scatterer. After the treatment, the cylinder incident and scattering expansion coefficients are satisfied for use of the MBIT method [17,27].…”

“…In the literature, the scattering of periodic arrays of particles is discussed by Waterman and Pedersen [26] using the T-matrix method. In this study, a semi-analytical solution based on the MBIT [17,27] will be presented for scatterers with a 1-D periodic structure.…”

Simulation of the scattering properties of a chain-forming triangular prism oceanic diatom

“…The methods used for soft scatterers are only applicable to small-sized or extremely soft cases. In this study, the many-body iterative T-matrix (MBIT) [44,45] and the geometric optics method using a volume integral equation of the electric field, the ray-byray (RBR) [24], are employed to obtain the scattering properties for a range of sizes for "soft" chain-forming triangular prism shaped diatoms found in the ocean.…”