Radial carpet beams: A class of nondiffracting, accelerating, and self-healing beams

Rasouli, Saifollah; Khazaei, Ali; Hebri, Davud

doi:10.1103/physreva.97.033844

Cited by 30 publications

(18 citation statements)

References 36 publications

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“…Similar to the diffraction of a plane wave from a radial phase grating 31 , here again we see that each of individual diffraction patterns has a radial form with a considerable structural complexity. All of the patterns are shape invariant under propagation.…”

Section: Resultssupporting

confidence: 56%

“…It is apparent that this is the case for . This means that the diffraction pattern from a radial phase grating, known as the “radial carpet beam” 31 , and the s –th diffracted order of an AMLPG are similar when the phase amplitude and spokes number of the AMLPG are equal to the spokes number of the radial phase grating.…”

Section: Resultsmentioning

confidence: 95%

“…Here we compare the diffraction pattern of a plane wave diffracted directly from a radial phase grating 31 with the diffraction pattern of an AMLPG. The diffracted light field in the diffraction of a plane wave from a radial phase grating having a sinusoidal transmission function can be written as 31 …”

Section: Resultsmentioning

confidence: 99%

“…The diffraction of a plane wave from a radial phase grating was also theoretically and experimentally investigated. It was shown that the diffraction of a plane wave from radial phase gratings is a simple way to generate radial carpet beams that are nondiffracting, accelerating, and shape preserving 31 . These beams have unprecedented patterns that are shape-invariant during propagation.…”

Section: Introductionmentioning

confidence: 99%

“…The diffraction of a plane wave from AMLPGs is formulated and using a spatial light modulator (SLM) the respective experimental works are presented. In comparing with the diffraction of a plane wave from radial phase gratings 31 the use of AMLPGs provides a set of high contrast and varied radial carpet patterns over the different diffraction orders of the host linear phase grating. Since an SLM has a two dimensional periodic structure it multiples the diffraction pattern of the AMLPG.…”

Section: Introductionmentioning

confidence: 99%

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An azimuthally-modified linear phase grating: Generation of varied radial carpet beams over different diffraction orders with controlled intensity sharing among the generated beams

Rasouli

Khazaei

2019

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Diffraction gratings are important optical components and are used in many areas of optics such as in spectroscopy. A diffraction grating is a periodic structure that splits and diffracts the impinging light beam into several beams travelling in different directions. The diffracted beams from a grating are commonly called diffraction orders. The directions of the diffraction orders depend on the grating period and the wavelength of the impinging light beam so that a grating can be used as a dispersive element. In the diffraction of a plane wave from a conventional grating, the intensities of diffracted beams decrease with increasing order of diffraction. Here, we introduce a new type of grating where in the diffraction of a plane wave, the intensity of a given higher order diffracted beam can be higher than the intensity of the lower orders. We construct these gratings by adding an azimuthal periodic dependency to the argument of the transmission function of a linear phase grating that has a sinusoidal profile and we call them azimuthally-modified linear phase gratings (AMLPGs). In this work, in addition to introducing AMLPGs, we present the generation of varied radial carpet beams over different diffraction orders of an AMLPG with controlled intensity sharing among the generated beams. A radial carpet beam is generated in the diffraction of a plane wave from a radial phase grating. We show that for a given value of the phase amplitude over the host linear phase grating, one of the diffraction orders is predominant and by increasing the value of the phase amplitude, the intensity sharing changes in favor of the higher orders. The theory of the work and experimental results are presented. In comparison with the diffraction of a plane wave from radial phase gratings, the use of AMLPGs provides high contrast diffraction patterns and presents varied radial carpet beams over the different diffraction orders of the host linear phase grating. The resulting patterns over different diffraction orders are specified and their differences are determined. The diffraction grating introduced with controlled intensity sharing among different diffraction orders might find wide applications in many areas of optics such as optical switches. We show that AMLPG-based radial carpet beams can be engineered in which they acquire sheet-like spokes. This feature nominates them for potential applications in light sheet microscopy. In addition, a detailed analysis of the multiplication of the diffraction pattern of an AMLPG by the 2D structure of a spatial light modulator is presented. The presented theory is confirmed by respective experiments.

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Section: Resultssupporting

confidence: 56%

Section: Resultsmentioning

confidence: 95%