T-MATRIX FORMULATION FOR ELECTROMAGENETIC SCATTERING

• Main Author: Qoddri, Achmad
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/86479
• Institution: Institut Teknologi Bandung

The utilization of nanoparticles in various fields has significantly expanded over the past decade. Consequently, numerous studies have been conducted to investigate the characteristics of nanoparticles, one of which is through scattering events. Computational methods for studying scattering include the T-Matrix method, which is a semianalytical method. The analytical formulation of the T-Matrix is based on the expansion of the involved fields in the basis of vector spherical harmonics and the addition theorem, which indicates the existence of field interactions between spheres. The TMatrix stores all information from the scattering structure under consideration. The T-Matrix only depends on the geometry of the scatterer and does not depend on the incident wave that illuminates it. For a particular scattering system, when illuminated with different incident fields or directions of the incident field, the T-Matrix of the structure does not change. This can accelerate computation time as it is not necessary to perform calculations from scratch to analyze a scattering structure with the same geometry. From this T-Matrix formulation, the optical response in the form of the scattering cross-section spectrum along with its multipolar components can be calculated. The scattering cross-section spectrum calculated using the T-Matrix method is in good agreement with other methods such as the Surface Integral Equation (SIE) method. However, the wavelength at the peak of the scattering cross-section spectrum calculated using the T-matrix exhibits a red shift compared to the SIE method.