Abstract
The scattering of the Bessel beam by a circular aperture in an opaque screen is investigated by the geometrical theory of diffraction approach. The geometrical optics and diffracted and scattered fields are obtained. The effect of the aperture to the scattering process is analyzed. The uniform versions of field expressions are derived. The geometrical optics and diffracted and scattered fields are examined numerically.
Highlights
The Bessel beam which is a type of nondiffracting beam was first reported by Durnin [1] and Durnin et al [2]
Bessel beam is an exact solution of the Helmholtz equation, the literature includes the paraxial form of this beam
The scattering of a paraxial Bessel beam by a circular aperture in an opaque screen was examined by Umul [16]
Summary
The Bessel beam which is a type of nondiffracting beam was first reported by Durnin [1] and Durnin et al [2]. The scattering of a paraxial Bessel beam by a circular aperture in an opaque screen was examined by Umul [16]. The aim of this study is to investigate the effect of the Bessel beam diffraction, by a circular aperture in an opaque screen, to the scattered field. The scattered Bessel beams by a circular aperture in an opaque screen have not been studied yet. The effect of the aperture on the Bessel beam is investigated numerically in terms of the uniform diffracted and scattered fields. In this point of view, using nondiffracting beams in the illumination process has advantages It was reported in an experimental study that scanned Bessel beam reduces the scattering effects and increases the image quality and penetration depth in dense media [21]. The time factor exp(jωt) is suppressed throughout the paper and ω is the angular frequency
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