A Bessel beam is a field of electromagnetic, acoustic or even gravitational radiation whose amplitude is described by a Bessel function of the first kind. A true Bessel beam is non-diffractive. This means that as it propagates, it does not diffract and spread out; this is in contrast to the usual behavior of light (or sound), which spreads out after being focussed down to a small spot. Bessel beams are also self-healing, meaning that the beam can be partially obstructed at one point, but will re-form at a point further down the beam axis.
As with a plane wave, a true Bessel beam cannot be created, as it is unbounded and would require an infinite amount of energy. Reasonably good approximations can be made, however, and these are important in many optical applications because they exhibit little or no diffraction over a limited distance. Approximations to Bessel beams are made in practice either by focusing a Gaussian beam with an axicon lens to generate a Bessel–Gauss beam, by using axisymmetric diffraction gratings, or by placing a narrow annular aperture in the far field.
The properties of Bessel beams make them extremely useful for optical tweezing, as a narrow Bessel beam will maintain its required property of tight focus over a relatively long section of beam and even when partially occluded by the dielectric particles being tweezed. Similarly, particle manipulation with acoustical tweezers was achieved with a Bessel beam that scatters and produces a radiation force resulting from the exchange of acoustic momentum between the wave-field and a particle placed along its path.
The mathematical function which describes a Bessel beam is a solution of Bessel's differential equation, which itself arises from separable solutions to Laplace's equation and the Helmholtz equation in cylindrical coordinates. The fundamental zero-order Bessel beam has an amplitude maximum at the origin, while a high-order Bessel beam (HOBB) has an axial phase singularity along the beam axis; the amplitude is zero there. HOBBs can be of vortex (helicoidal) or non-vortex types.
Mathieu beams and parabolic (Weber) beams  are other types of non-diffractive beams that have the same non-diffractive and self-healing properties of Bessel beams but different transverse structures.
In 2012 it was theoretically proved  and experimentally demonstrated  that, with a special manipulation of their initial phase, Bessel beams can be made to accelerate along arbitrary trajectories in free space. These beams can be considered as hybrids that combine the symmetric profile of a standard Bessel beam with the self-acceleration property of the Airy beam and its counterparts. Previous efforts to produce accelerating Bessel beams included beams with helical  and sinusoidal  trajectories as well as the early effort for beams with piecewise straight trajectories.
- Mikutis, Mindaugas (2013). "High 90% efficiency Bragg gratings formed in fused silica by femtosecond Gauss-Bessel laser beams". Optical Materials Express (Optical Society of America). doi:10.1364/OME.3.001862. Retrieved 2015-09-28.
- Kishan Dholakia; David McGloin; Vene Garcés-Chávez (2002). "Optical micromanipulating using a self-reconstructing light beam". Retrieved 2007-02-06.
- V. Garcés-Chávez; D. McGloin; H. Melville; W. Sibbett; K. Dholakia (2002). "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam" (PDF). Nature. 419 (6903): 145–7. Bibcode:2002Natur.419..145G. doi:10.1038/nature01007. PMID 12226659.
- D. McGloin, K. Dholakia, Bessel beams: diffraction in a new light, Contemporary Physics 46 (2005) 15-28
- Jiménez, N.; V. Romero-García; R. Picó; A. Cebrecos; V. J. Sánchez-Morcillo; L. M. Garcia-Raffi; J. V. Sánchez-Pérez; K. Staliunas (2 April 2014). "Acoustic Bessel-like beam formation by an axisymmetric grating". Europhysics Letters. 106 (2): 24005. arXiv: . Bibcode:2014EL....10624005J. doi:10.1209/0295-5075/106/24005.
- Durnin, J.; J. J. Miceli, Jr; J. H. Eberly (13 April 1987). "Diffraction-free beams". Physical Review Letters. 58 (15): 1499–1501. Bibcode:1987PhRvL..58.1499D. doi:10.1103/PhysRevLett.58.1499. PMID 10034453.
- F. O. Fahrbach, P. Simon, A. Rohrbach, Microscopy with self-reconstructing beams, Nature Photonics 4 (2010) 780–785
- F. G. Mitri, Arbitrary scattering of an electromagnetic zero-order Bessel beam by a dielectric sphere. Optics Letters 36 (2011) 766-768
- Hill, Martyn (January 11, 2016) . "Viewpoint: A One-Sided View of Acoustic Traps". Physics. 9 (3).
- P. L. Marston, Scattering of a Bessel beam by a sphere, J. Acoust. Soc. Am. 121 (2007) 753-758
- G. T. Silva, Off-axis scattering of an ultrasound bessel beam by a sphere. IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 58 (2011) 298-304
- F. G. Mitri, G. T. Silva, Off-axial acoustic scattering of a high-order Bessel vortex beam by a rigid sphere, Wave Motion 48 (2011) 392-400
- F. G. Mitri, Acoustic radiation force on a sphere in standing and quasi-standing zero-order Bessel beam tweezers, Annals of Physics 323 (2008) 1604-1620
- F. G. Mitri, Z. E. A. Fellah, Theory of the acoustic radiation force exerted on a sphere by a standing and quasi-standing zero-order Bessel beam tweezers of variable half-cone angles, IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 55 (2008) 2469-2478
- F. G. Mitri, Langevin acoustic radiation force of a high-order Bessel beam on a rigid sphere, IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 56 (2009) 1059-1064
- F. G. Mitri, Acoustic radiation force on an air bubble and soft fluid spheres in ideal liquids: Example of a high-order Bessel beam of quasi-standing waves, European Physical Journal E 28 (2009) 469-478
- F. G. Mitri, Negative Axial Radiation Force on a Fluid and Elastic Spheres Illuminated by a High-Order Bessel Beam of Progressive Waves, Journal of Physics A - Mathematical and Theoretical 42 (2009) 245202
- F. G. Mitri, Acoustic scattering of a high-order Bessel beam by an elastic sphere, Annals of Physics 323 (2008) 2840-2850
- F. G. Mitri, Equivalence of expressions for the acoustic scattering of a progressive high-order Bessel beam by an elastic sphere, IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 23 56 (2009) 1100-1103
- P. L. Marston, Axial radiation force of a bessel beam on a sphere and direction reversal of the force, J. Acoust. Soc. Am. 120 (2006) 3518-3524
- P. L. Marston, Radiation force of a helicoidal Bessel beam on a sphere, J. Acoust. Soc. Am. 125 (2009) 3539-3547
- F. G. Mitri, Linear axial scattering of an acoustical high-order Bessel trigonometric beam by compressible soft fluid spheres, J. Appl. Phys. 109 (2011) 014916
- Bowlan, Pamela; Valtna-Lukner, Heli; et al. (December 2009). "Measurement of the spatiotemporal electric field of ultrashort superluminal Bessel-X pulses". Optics and Photonics News. 20 (12): 42.
- M.A. Bandres, J.C. Gutiérrez-Vega, and S. Chávez-Cerda, "Parabolic nondiffracting optical wave fields," Opt. Lett. 29, 44-46 (2004).
- Chremmos, Ioannis; Zhigang Chen; Christodoulides Demetrios; Efremidis, Nikolaos (2012). "Bessel-like optical beams with arbitrary trajectories". Optics Letters. 37 (23): 5003. Bibcode:2012OptL...37.5003C. doi:10.1364/OL.37.005003. PMID 23202118.
- Juanying, Zhao; Zhang, Peng; Deng, Dongmei; Jingjiao, Liu; Gao, Yuanmei; Chremmos, Ioannis D.; Efremidis, Nikolaos K.; Christodoulides, Demetrios N.; Chen, Zhigang (2013). "Observation of self-accelerating Bessel-like optical beams along arbitrary trajectories". Optics Letters. 38 (4): 498. Bibcode:2013OptL...38..498Z. doi:10.1364/OL.38.000498. PMID 23455115.
- Jarutis, Vygandas; Matijošius, Aidas; DiTrapani, Paolo; Piskarskas, Algis (2009). "Spiraling zero-order Bessel beam". Optics Letters. 34 (14): 2129. Bibcode:2009OptL...34.2129J. doi:10.1364/OL.34.002129. PMID 19823524.
- Morris, JE; Čižmár, T; Dalgarno, HIC; Marchington, RF; Gunn-Moore, FJ; Dholakia, K (2010). "Realization of curved Bessel beams: propagation around obstructions". Journal of Optics. 12 (12): 124002. Bibcode:2010JOpt...12l4002M. doi:10.1088/2040-8978/12/12/124002.
- Rosen, Joseph; Yariv, Amnons (1995). "Snake beam: a paraxial arbitrary focal line". Optics Letters. 20 (20): 2042. Bibcode:1995OptL...20.2042R. doi:10.1364/OL.20.002042. PMID 19862244.
- New microscope captures 3D movies of living cells gizmag.com (switched Bessel beams used effectively in real-time microscopy)
- 'Tractor beam' is possible with lasers, say scientists
- Ultrasound (zeroth-order) Bessel beam profile - Front cover image (April 2002 Issue of the IEEE Trans. Ultrason. Ferr. Freq. Ctrl.)