T-matrix methods for electromagnetic structured beams: A commented reference database for the period 2014–2018

An analytical approximation to measure the extinction cross-section using: Localized Waves

“…In the following section, we show analytical solutions for equation (11) using two different probe beams. It means using two longitudinal spectrum S(k z ), a cylindrical beam using equation (8), and a Gaussian beam using equation (10).…”

“…In the last few years, many interesting problems using beam shape methods related to optical manipulation and applications of the Lorenz-Mie theory [7,8], and several interesting papers have been published to generalize the optical theorem in electromagnetic theory and acoustic [9][10][11][12][13][14][15][16][17][18][19][20][21], in quantum mechanics [22], seismologic waves [23]. Also, recently the vector extinction effect in the OT using radially polarized cylindrical beams [24].…”

Generalized optical theorem for Rayleigh scattering approximation

“…In applied sciences to understand this mechanics and how the absorption and the scattering affect wave propagation throughout a medium can help to obtain a meaningful features of the object such as the characterization and its physical properties [4]. Recently, some interesting reviews have been published [5,6] concerning the development of generalized Lorenz-Mie theories, the Extended Optical theorem (EOT), using structured beam shape methods are presented, and the description of several electromagnetic effects by experiments, some applications using T-matrix methods for structured beam illumination.…”

Rayleigh limit of generalized Lorenz-Mie theory for on-axis beams and its relationship with the dipole theory of forces. Part I: Non dark axisymmetric beams of the first kind, with the example of Gaussian beams

“…This theory had many applications, particularly in the …eld of optical particle characterization, e.g. [4], [5]. Another topic concerns the mechanical e¤ects of light (radiation pressure forces and torques) which have been investigated as well by using GLMT, including the prediction of reverse radiation forces, e.g.…”