Higher-order Bessel waves produced by axicon-type computer-generated holograms

Paterson, Carl; Smith, R. W.

doi:10.1016/0030-4018(95)00637-0

Cited by 260 publications

(92 citation statements)

References 14 publications

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“…A number of authors [19,20,23,24] have implemented phase only holograms that are intrinsically light efficient. These systems encode the CGH or SLM with the phase profile:…”

Section: Bessel Beam Productionmentioning

confidence: 99%

Long-distance Bessel beam propagation through Kolmogorov turbulence

et al. 2015

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“…A number of authors [19,20,23,24] have implemented phase only holograms that are intrinsically light efficient. These systems encode the CGH or SLM with the phase profile:…”

Section: Bessel Beam Productionmentioning

confidence: 99%

Long-distance Bessel beam propagation through Kolmogorov turbulence

et al. 2015

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“…Higher-order terms not considered in this solution give corrections to off-axis areas [38]. By substituting Eq.…”

Section: A Infinite Diffraction Gratingmentioning

confidence: 99%

“…(15) can approximately be solved by using the method of the stationary phase [2,3,38]. Rapid oscillations of the exponential term of the integral in Eq.…”

Section: A Infinite Diffraction Gratingmentioning

confidence: 99%

Formation of high-order acoustic Bessel beams by spiral diffraction gratings

et al. 2016

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The formation of high-order Bessel beams by a passive acoustic device consisting of an Archimedes' spiral diffraction grating is theoretically, numerically, and experimentally reported in this paper. These beams are propagation-invariant solutions of the Helmholtz equation and are characterized by an azimuthal variation of the phase along its annular spectrum producing an acoustic vortex in the near field. In our system, the scattering of plane acoustic waves by the spiral grating leads to the formation of the acoustic vortex with zero pressure on axis and the angular phase dislocations characterized by the spiral geometry. The order of the generated Bessel beam and, as a consequence, the size of the generated vortex can be fixed by the number of arms in the spiral diffraction grating. The obtained results allow for obtaining Bessel beams with controllable vorticity by a passive device, which has potential applications in low-cost acoustic tweezers and acoustic radiation force devices.

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“…Up to now, hollow laser beams with different intensity distributions were generated by different methods [9][10][11][12][13][14][15], and several mathematic models have been used to describe them, such as the TEM beam [17], the Laguerre-Gaussian modes, etc [18]. The common characteristic is that the light intensity of the beam from the edge of the annulus to the center gradually decreases, and according to theory is zero only at the center, which would limit the applications for this kind of beam in invisible detection, invisible control, and so on.…”

Section: Introductionmentioning

confidence: 99%

The Influence of the Initial Spot Size of a Double Half-Gaussian Hollow Beam on Its Propagation Characteristics in a the Turbulent Atmosphere

Dong¹,

Li²,

Jia-Yin³

et al. 2016

Journal of the Optical Society of Korea

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In this paper, by using the Rayleigh-Sommer field theory and the cross-spectral density function, the analytical expression for the intensity distribution of a double half-Gaussian hollow beam in a turbulent atmosphere is obtained. The influence of the initial spot size of this beam on its propagation properties in a turbulent atmosphere is simulated, and the intensity distributions for such beams with different spot sizes are obtained. The results show that the initial spot size has an important influence on the propagation properties in the near field, while this influence in the far field is very weak.

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Higher-order Bessel waves produced by axicon-type computer-generated holograms

Cited by 260 publications

References 14 publications

Long-distance Bessel beam propagation through Kolmogorov turbulence

Long-distance Bessel beam propagation through Kolmogorov turbulence

Formation of high-order acoustic Bessel beams by spiral diffraction gratings

The Influence of the Initial Spot Size of a Double Half-Gaussian Hollow Beam on Its Propagation Characteristics in a the Turbulent Atmosphere

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