Scattering of Gaussian Beam by a Spheroidal Particle

Abstract

Abstract-Gaussian beam scattering by a spheroidal particle is studied in detail. A theoretical procedure is given to expand an incident Gaussian beam in terms of spheroidal vector wave functions within the generalized Lorenz-Mie theory framework. Exact analytic solutions are obtained for an arbitrarily oriented spheroid with nonconfocal dielectric coating. Normalized differential scattering cross sections are shown and discussed for three different cases of a dielectric spheroid, spheroid with a spherical inclusion and coated spheroid.

Scattering of an Axial Gaussian Beam by a Conducting Spheroid With Non-Confocal Chiral Coating

“…When neglected terms of order higher than 1/r in M r(3) e o 1n (k 0 f 2 ) and N r (3) e o 1n (k 0 f 2 ), as k 0 f 2 ζ → ∞, the asymptotic form of the scattered electric field E s can be obtained from Eq. (22), which is of the form [1,24,25]…”

“…The electromagnetic fields of an axial Gaussian beam, for the TE mode, can be expanded in terms of the spheroidal vector wave functions attached to the chiral coating, as follows [1,24,25]:…”

“…(26)- (37) give a 12N × 12N system of equations. Then, the standard numerical techniques, such as an iterative procedure or inverse matrix method, may be employed to solve for the unknown coefficients [1,24,25].…”

“…Yokota et al studied the scattering of a Hermite-Gaussian beam by a chiral sphere by using the relations between the multipole fields and the conventional Hermite-Gaussian beam [23]. In our recent papers [24,25], a great effort has been made to examine Gaussian beam scattering by a coated spheroid. In order to analyze theoretically the interaction between the chiral medium and shaped beam in the spheroidal coordinates, this paper, based on our previous works, is devoted to the presentation of axial Gaussian beam (a focused TEM 00 mode laser beam) scattering by a chiral-coated conducting spheroid.…”

Investigation of Quasi-Optical Bessel-Gauss Resonator at Mm- And Submm-Wavelengths

“…describes the axial evolution of the 1/e 2 half-width of the Gaussian beam [19][20][21], and w 0 denotes the Gaussian 1/e 2 radius at the waist (assuming the waist located at z = 0). R g (z) = z + z 2 R /z represents the radius of curvature of Gaussian wave front, and…”