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Bessel beam
About: Bessel beam is a research topic. Over the lifetime, 1946 publications have been published within this topic receiving 42264 citations.
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TL;DR: The extinction efficiency Qext of a sphere is defined to be the ratio of its extinction cross section to the area of its profile, and for non-dissipative situations Qext reduces to the scattering efficiency.
Abstract: The extinction efficiency Qext of a sphere is defined to be the ratio of its extinction cross section to the area of its profile. For non-dissipative situations Qext reduces to the scattering efficiency. For a sphere centered on the axis of a Bessel beam Qext has a complicated dependence on dimensionless frequency ka and on the conic angle β of the beam, even in the simple case of a rigid sphere. With appropriate scaling using Babinet's principle, however, the dependence reduces approximately to a function of ka sin(β) when ka is large. An example is also shown for a metal shell in water.
7 citations
TL;DR: In this article, a generalized modal space-time impulse response and Fourier transform approach is developed to investigate the general properties of transient Bessel beam (TBB) fields which are generated using planar circular apertures.
Abstract: A generalized modal space–time impulse response and Fourier transform approach is developed to investigate the general properties of transient Bessel beam (TBB) fields which are generated using planar circular apertures. The approach is based on a modal decomposition of the aperture source distributions which are required to generate the space–time TBB fields. Numerical results are presented to illustrate the general space–time properties of the modal impulse responses and the modal source functions. The on-axis far field for the finite aperture is shown to be simply related to the lowest order term in the modal expansion. The space–time properties of the acoustic field for a particular type of band-limited TBB field which is designated as an acoustic Bessel bullet (BB) are then investigated. Some numerical results are presented to illustrate the space–time properties of acoustic BB fields generated from an infinite aperture. Analogous on-axis harmonic results from a finite aperture are presented. These latter results clearly indicate that the higher-order modes exhibit spatial rates of decay which are greater than the inverse range decay for the lowest order mode.
7 citations
TL;DR: This paper establishes explicit relations between the radial modulation and the optimal sidelobe expression effect in the Bessel-like modulation technique and verifies that both central and outer ring areas of the phase plate result in sidelobes in the diffraction pattern.
Abstract: This paper establishes explicit relations between the radial modulation and the optimal sidelobe expression effect in the Bessel-like modulation technique. It verifies that both central and outer ring areas of the phase plate result in sidelobes in the diffraction pattern, and the corresponding structural dimensions can be determined quantitatively. This approach gives rise to complete sidelobe suppression by taking optimal modulation parameters.
7 citations
TL;DR: In this paper, an approach for the generation of the infinite Bessel beams in three-dimensional FDTD is presented. But the approach is based on the injection of the Bessel solutions of Maxwell's equations from a cylindrical hollow annulus, which is computationally more efficient than the creation of a Bessel-Gauss beam from a wall.
Abstract: Bessel beams are becoming a very useful tool in many areas of optics and photonics, because of the invariance of their intensity profile over an extended propagation range. Finite-Difference-Time-Domain (FDTD) approach is widely used for the modeling of the beam interaction with nanostructures. However, the generation of the Bessel beam in this approach is a computationally challenging problem. In this work, we report an approach for the generation of the infinite Bessel beams in three-dimensional FDTD. It is based on the injection of the Bessel solutions of Maxwell's equations from a cylindrical hollow annulus. This configuration is compatible with Particle In Cell simulations of laser plasma interactions. This configuration allows using a smaller computation box and is therefore computationally more efficient than the creation of a Bessel-Gauss beam from a wall and models more precisely the analytical infinite Bessel beam. Zeroth and higher-order Bessel beams with different cone angles are successfully produced. We investigate the effects of the injector parameters on the error with respect to the analytical solution. In all cases, the relative deviation is in the range of 0.01-7.0 percent.
7 citations
TL;DR: In this article, a magnetic field assisted non-destructive optical probing of photonic lattice structures in photorefractive crystals is demonstrated experimentally, and the stability of recorded lattices against erasure during readout by probe Gaussian beam at the recording wavelength has been studied.
Abstract: A novel method of magnetic field assisted nondestructive optical probing of photonic lattice structures in photorefractive crystals is demonstrated experimentally. High contrast annular symmetry micrometric scale refractive lattice structures were recorded by nondiffracting Bessel beam technique with the use of 532 nm, 17 mW power laser beam in Fe doped lithium niobate crystal. The stability of recorded lattices against erasure during readout by probe Gaussian beam at the recording wavelength has been studied. Time evolutions of the diffraction efficiency of the lattices for readout beam power of 17 mW in zero magnetic field and in external magnetic field of 0.85 T were measured. The measurements showed up to 3.4 times increase of erasure constant for magnetic field assisted readout of stored lattices. The physical model based on the approach of small polarons in external magnetic field to explain the experimental results is discussed.
7 citations