非偏振贝塞尔光束的球散射

Abstract

The scattering process of an unpolarized Bessel beam through spherical scatterers is investigated. We derive the analytical solutions of scattered fields of x-and y-polarized Bessel beams using a sphere, after which the dimensionless scattering function for an unpolarized Bessel beam is obtained. The dimensionless scattering function is applicable to spherical scatterers of any size on the beam axis or near it. Through numerical simulations, we demonstrate that extreme points exist in the direction or neighboring direction of the conical angle for spherical scatterers on the beam axis, whereas the existence of extreme points depends on the ratio between the spherical scatterers size and central spot size of the Bessel beam.

О Суперразрешении В Мнимом Изображении В Прозрачной Диэлектрической Сфере

“…Нормировка функций M, N совпадает с принятой в работе [12] Используя соотношение (7), можно определить ядро оператора A. Пусть матрица Q содержит в качестве столбцов векторы из ядра оператора A, тогда AQ = 0. Используя условия (7), легко убедиться что в этом случае…”

“…Для вычисление оператора А мы использовали разложение плоской волны с произвольным направлением волнового вектора и поляризацией [12]. Возникающие интегралы удобно вычислять, предварительно преобразовав их к полярной системе координат в пространстве волновых векторов.…”

Comparison of three kinds of polarized Bessel vortex beams propagating through uniaxial anisotropic media*

“…Specifically, (p x i , p y i ) = (1, 0), (1, i), (cos β , sin β ) stands for the x polarization, the circular polarization (left-hand in this paper), and the radial polarization, respectively. By expanding the factor 𝑄| α =α 0 e i𝑘•𝑟 in terms of the spherical vector wave functions (SVWFs), the electric and magnetic field vectors of a PBVB can be expressed as [43] 𝐸…”

“…where I + and I − are the coefficients shown in Ref. [43], D mn = (2n + 1)(n − m)!/4n(n + 1)(n + m)!. π mn and τ mn are the angle functions.…”

Electromagnetic Scattering of a High-Order Bessel Trigonometric Beam by Typical Particles

“…The EM scattering of a ZOBB and HOBVB by various particles has been investigated extensively by many researchers, see Refs. [1][2][3][4][5][6][7][8][9] to quote a few of them. Recently, Mitri [10,11] has investigated the scattering of an HOBTB from a sphere, however, he only considered the case of acoustic scattering.…”