Generation of nondiffracting Bessel beams by use of a spatial light modulator

Chattrapiban, N.; Rogers, Elizabeth A.; Cofield, David; Hill, W. T.; Roy, Rajarshi

doi:10.1364/ol.28.002183

Cited by 245 publications

(110 citation statements)

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“…Spatial light modulators ͑SLMs͒, which are dynamically reconfigurable, have been used to generate Bessel beams. 13,14 The kinoforms displayed on the SLM provide a phase transformation equivalent to the passage of the beam through an axicon. The algorithm for their calculation is straightforward and can be varied in real time.…”

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confidence: 99%

Tunable generation of Bessel beams with a fluidic axicon

Milne

Jeffries

Chiu

2008

Applied Physics Letters

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Tunable generation of Bessel beams with a fluidic axicon

Milne

Jeffries

Chiu

2008

Applied Physics Letters

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“…This dependence allows control occurring transformation in the crystal due to changes of the characteristics in either Bessel beam or crystal. In particular, the spatial frequency of the beam depends on the numerical aperture of the axicon [19][20][21][22] which shapes the beam, also it is possible to adjust characteristics of the beam by changing the beam divergence [23]. To change the parameters of the crystal, it can be heated [24] or effected by electro-optic [25].…”

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confidence: 99%

Experimantal oberving of transformation Bessel beam spreading along axis of crystal during wavelength changes

Vasilev¹,

Подлипнов²

2017

Collection of Selected Papers of the III International Conference on Information Technology and Nanotechnology

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In paper decribe experimental observing transform bessel beam, formed by diffraction axicon in moment propagation through anisortopic birefringence crystal. This observation covers large range wavelength changes (from 520 nm to 534 nm). Theoretical explain effect is given.Keywords: laser with changing wavelength; diffraction axicon; birefringent crystal; bessel beams IntroductionIt is well-known the usage of anisotrophic elements to convert beams with the homogeneous polarization into cylindrical vector beams [1][2][3][4][5][6]. At the same time, it is necessary to implement the separation of the longitudinal modes along the optical axis of the system, which is parallel to the axis of the crystal. To improve convergence of the beams in the crystal, it is possible to use telescopic system or to form beams with high numerical aperture. Polarization and mode conversion during propagation along the axis of the crystal were considered for both Bessel and Gaussian beams [7][8][9][10][11][12][13][14][15][16].It has been shown in the studies [17,18] that during the propagation along the crystal axis neuraxial Bessel beams have other properties than Gaussian beams, namely, experiencing a uniform periodic change of intensity. In this case, the Bessel beam of zero order and second-order are periodically converted from one to another [7-9, 17, 18]. The oscillation period is directly proportional to the wavelength of the laser radiation and inversely proportional to the square of the spatial frequency of the laser beam and the difference of the dielectric capacitivity, which is corresponding to the ordinary and extraordinary rays. This dependence allows control occurring transformation in the crystal due to changes of the characteristics in either Bessel beam or crystal. In particular, the spatial frequency of the beam depends on the numerical aperture of the axicon [19][20][21][22] which shapes the beam, also it is possible to adjust characteristics of the beam by changing the beam divergence [23]. To change the parameters of the crystal, it can be heated [24] or effected by electro-optic [25]. However, the most convenient way of adjustment is to change the wavelength of the laser radiation which has a direct linear relationship from the period of transformation [26].It was experimentally demonstrated the ability [26] to manage the transformation of the Bessel beam at the output of the CaCO3 crystal by changing the wavelength of the radiation illuminating the diffractive axicon. It was achieved almost complete transformation of the Bessel beam of zero order beam to the second order using the axicon period of 2 µm and the wavelength at Δλ =1.5 of the initial value of λ = 637.5. The variation of the wavelength within a small range was achieved by changing the temperature of the laser. In contrast to this method, the usage of a laser with variable wavelength provides a wide range of Δλ, and therefore the possibility of achieving complete conversion using the axicon with a large period, i.e., a smaller numerical apertur...

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“…We then compare our experimental results with numerical simulations. Finally, we look at the transverse energy flow of the beam and relate it to its self-healing property.We generate the HCOBs using a spatial light modulator (SLM) [18,19]. Figure 1(a) shows the experimental setup.…”

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“…We generate the HCOBs using a spatial light modulator (SLM) [18,19]. Figure 1(a) shows the experimental setup.…”

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Helico-conical optical beams self-heal

2013

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An optical beam is said to be self-healing when, distorted by an obstacle, the beam corrects itself upon propagation. In this Letter we show, through experiments supported by numerical simulations, that Helico-conical optical beams self-heal. We observe the strong resilience of these beams with different types of obstructions, and relate this to the characteristics of their transverse energy flow. © 2013 Optical Society of America OCIS codes: 140.3300, 260.6042, 260.0260, 070.2580. The study of the self-healing properties of beams is of great interest in optics [1][2][3][4][5][6]. An optical beam is said to be self-healing when, after propagation, its transverse intensity profile is hardly affected by a small perturbation-a block-that has been placed in its path [1][2][3][4][5]. The surge of interest in self-healing beams is bouyed mainly by its range of applications; self-healing can be advantageous, for instance, in beam propagation through scattering and turbulent media, and in optical manipulation [7,8].Optical beams that exhibit self-healing include Bessel beams (BBs) [6,7,9] [10], and some forms of LaguerreGaussian (LG) beams [3]. In the case of the BBs and Airy beams, self-healing happens at a relatively small propagation distance, while LG beams self-heal at a distance of the order of the Rayleigh length [2,3]. Self-healing is independent of the diffracting nature of the beams, as shown by caustic [4] and LG beams [3].In this Letter, we present another set of beams that self-heal: the Helico-conical optical beams (HCOBs). The main difference between these beams and other self-healing beams is the nonseparability of their radial and azimuthal phases [11]. HCOBs posses a phase ψ that is the product of a helical phase and a conical phase: ψr; θ ℓθK − r∕r 0 ; where ℓ is the winding number around the azimuth angle θ, r 0 normalizes the radial coordinate r, and K takes either the value 0 or 1. At the far field, the intensity profile of these beams resembles a spiral, with K 1 HCOBs having a more pronounced head near the center of the beam axis compared with the K 0 HCOBs. Recently, a K 0 HCOB was reported to cause a spiral motion to a particle along its path [12,13], a three dimensional motion that combines phase gradient with intensity gradient forces [14].It could be argued that, since HCOBs have conical phases, they should behave similar to BBs. In fact, the HCOBs are more likely to be compared with fractional higher-order BBs because of their similar intensity distributions [15]. Joint to this is the fact that HCOBs consist of strings of optical vortices upon propagation [16].However, the far-field intensity pattern of experimentally generated BBs, or any superposition of it, resembles a circle or a δ-ring [17], while HCOBs are spirals in the far field, and not rings when compared to BBs [11]. An important question then arises: Can HCOBs self-heal?Here, we provide evidence that an HCOB reconstructs its intensity profile at a relatively short propagation distance after a small perturbation is placed in ...

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Generation of nondiffracting Bessel beams by use of a spatial light modulator

Cited by 245 publications

References 5 publications

Tunable generation of Bessel beams with a fluidic axicon

Tunable generation of Bessel beams with a fluidic axicon

Experimantal oberving of transformation Bessel beam spreading along axis of crystal during wavelength changes

Helico-conical optical beams self-heal

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