237:, non-diffracting (or propagation-invariant) beams have been utilised to produce very long and uniform light-sheets which do not change size significantly across their length. The self-healing property of Bessel beams has also shown to give improved image quality at depth as the beam shape is less distorted after travelling through scattering tissue than a Gaussian beam. Bessel beam based light-sheet microscopy was first demonstrated in 2010 but many variations have followed since. In 2018, it was shown that the use of attenuation-compensation could be applied to Bessel beam based light-sheet microscopy and could enable imaging at greater depths within biological specimens.
40:
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and Bessel beam, is the ability to control the longitudinal intensity envelope of the beam without significantly altering the other characteristics of the beam. This can be used to create Bessel beams which grow in intensity as they travel and can be used to counteract losses, therefore maintaining a
201:
In 2012 it was theoretically proven 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
175:
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.
206:
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.
193:
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.
215:
Beams may encounter losses as they travel through materials which will cause attenuation of the beam intensity. A property common to non-diffracting (or propagation-invariant) beams, such as the
924:
Mitri, F. G.; Fellah, Z. E. A. (2008). "Theory of the acoustic radiation force exerted on a sphere by standing and quasistanding zero-order Bessel beam tweezers of variable half-cone angles".
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Nylk, Jonathan; McCluskey, Kaley; Preciado, Miguel A.; Mazilu, Michael; Yang, Zhengyi; Gunn-Moore, Frank J.; Aggarwal, Sanya; Tello, Javier A.; Ferrier, David E. K. (2018-04-01).
1564:
Morris, J. E.; Čižmár, T.; Dalgarno, H. I. C.; Marchington, R. F.; Gunn-Moore, F. J.; Dholakia, K. (2010). "Realization of curved Bessel beams: propagation around obstructions".
1884:
Mikutis, M.; Kudrius, T.; Ĺ lekys, G.; Paipulas, D.; Juodkazis, S. (2013). "High 90% efficiency Bragg gratings formed in fused silica by femtosecond Gauss-Bessel laser beams".
262:
Garcés-Chávez, V.; McGloin, D.; Melville, H.; Sibbett, W.; Dholakia, K. (2002). "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam".
133:
1014:
Mitri, F. G. (2009). "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".
1664:
Zamboni-Rached, Michel (2004-08-23). "Stationary optical wave fields with arbitrary longitudinal shape by superposing equal frequency Bessel beams: Frozen Waves".
152:
by the dielectric particles being tweezed. Similarly, particle manipulation with acoustical tweezers was achieved with a Bessel beam that scatters and produces a
83:
and spread out; this is in contrast to the usual behavior of light (or sound), which spreads out after being focused down to a small spot. Bessel beams are also
106:
applications because they exhibit little or no diffraction over a limited distance. Approximations to Bessel beams are made in practice either by focusing a
245:
Bessel beams are a good candidate for the selectively trapping because of the concentric circles of pressure maximum and minimum in the transverse planes.
1241:
1196:
1067:
Mitri, F. G. (2009). "Negative axial radiation force on a fluid and elastic spheres illuminated by a high-order Bessel beam of progressive waves".
832:
705:
1149:
Mitri, F. G. (2009). "Equivalence of expressions for the acoustic scattering of a progressive high-order bessel beam by an elastic sphere".
148:, as a narrow Bessel beam will maintain its required property of tight focus over a relatively long section of beam and even when partially
665:
1566:
1943:
Ultrasound (zeroth-order) Bessel beam profile - Front cover image (April 2002 Issue of the IEEE Trans. Ultrason. Ferr. Freq. Ctrl.)
79:
waves can all be in the form of Bessel beams. A true Bessel beam is non-diffractive. This means that as it propagates, it does not
1325:
Bowlan, P.; et al. (2009). "Measurement of the
Spatiotemporal Electric Field of Ultrashort Superluminal Bessel-X Pulses".
887:
Mitri, F. G. (2008). "Acoustic radiation force on a sphere in standing and quasi-standing zero-order Bessel beam tweezers".
234:
164:
60:
1942:
1286:"Linear axial scattering of an acoustical high-order Bessel trigonometric beam by compressible soft fluid spheres"
1194:
Marston, P. L. (2006). "Axial radiation force of a Bessel beam on a sphere and direction reversal of the force".
1016:
506:
Jiménez, N.; et al. (2016). "Formation of high-order acoustic Bessel beams by spiral diffraction gratings".
1370:
Bandres, M. A.; Gutiérrez-Vega, J. C.; Chávez-Cerda, S. (2004). "Parabolic nondiffracting optical wave fields".
64:
87:, meaning that the beam can be partially obstructed at one point, but will re-form at a point further down the
156:
resulting from the exchange of acoustic momentum between the wave-field and a particle placed along its path.
969:
Mitri, F. G. (2009). "Langevin acoustic radiation force of a high-order bessel beam on a rigid sphere".
1519:
Jarutis, V.; Matijošius, A.; DiTrapani, P.; Piskarskas, A. (2009). "Spiraling zero-order Bessel beam".
1290:
1886:
1327:
451:
Jiménez, N.; et al. (2014). "Acoustic Bessel-like beam formation by an axisymmetric grating".
98:, a true Bessel beam cannot be created, as it is unbounded and would require an infinite amount of
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1931:
365:
1957:
1628:
1112:
Mitri, F. G. (2008). "Acoustic scattering of a high-order Bessel beam by an elastic sphere".
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D. Baresch, J.L. Thomas, and R. Marchiano, Physical review letters, 2016, 116(2), 024301.
612:"Arbitrary scattering of an electromagnetic zero-order Bessel beam by a dielectric sphere"
8:
1587:
1469:"Observation of self-accelerating Bessel-like optical beams along arbitrary trajectories"
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102:. Reasonably good approximations can be made, however, and these are important in many
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Silva, G. T. (2011). "Off-axis scattering of an ultrasound bessel beam by a sphere".
730:
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508:
433:
390:
289:
187:
1711:
1180:
1053:
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795:"Off-axial acoustic scattering of a high-order Bessel vortex beam by a rigid sphere"
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281:
264:
145:
1239:
Marston, P. L. (2009). "Radiation force of a helicoidal Bessel beam on a sphere".
828:"Multipole expansion of acoustical Bessel beams with arbitrary order and location"
408:
Cox, A.J.; D'Anna, Joseph (1992). "Constant-axial-intensity nondiffracting beam".
1815:"Light-sheet microscopy with attenuation-compensated propagation-invariant beams"
1037:
386:
338:
1611:
1521:
1476:
1424:
1372:
616:
539:
1135:
910:
864:
315:
McGloin, D.; Dholakia, K. (2005). "Bessel beams: diffraction in a new light".
149:
1951:
1799:
1348:
596:
107:
68:
1609:
Rosen, J.; Yariv, A. (1995). "Snake beam: a paraxial arbitrary focal line".
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gizmag.com (switched Bessel beams used effectively in real-time microscopy)
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Chremmos, I. D.; Chen, Z; Christodoulides, D. N.; Efremidis, N. K. (2012).
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IEEE Transactions on
Ultrasonics, Ferroelectrics and Frequency Control
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IEEE Transactions on
Ultrasonics, Ferroelectrics and Frequency Control
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IEEE Transactions on
Ultrasonics, Ferroelectrics and Frequency Control
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IEEE Transactions on
Ultrasonics, Ferroelectrics and Frequency Control
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are special superpositions of Bessel beams which travel at constant
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183:
125:
1774:
Fahrbach, Florian O.; Simon, Philipp; Rohrbach, Alexander (2010).
703:
Marston, P. L. (2007). "Scattering of a Bessel beam by a sphere".
467:
1369:
1727:"Tunable Bessel light modes: engineering the axial propagation"
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The properties of Bessel beams make them extremely useful for
27:
19:
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51:
Bessel beam re-forming central bright area after obstruction
1812:
163:
function which describes a Bessel beam is a solution of
1417:"Bessel-like optical beams with arbitrary trajectories"
202:
Bessel beam with the self-acceleration property of the
43:
Cross-section of the Bessel beam and graph of intensity
1938:'Tractor beam' is possible with lasers, say scientists
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568:
826:Gong, Z.; Marston, P. L.; Li, W.; Chai, Y. (2017).
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167:, which itself arises from separable solutions to
1932:New microscope captures 3D movies of living cells
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569:Fahrbach, F. O.; Simon, P.; Rohrbach, A. (2010).
1949:
1242:The Journal of the Acoustical Society of America
1197:The Journal of the Acoustical Society of America
833:The Journal of the Acoustical Society of America
706:The Journal of the Acoustical Society of America
661:"Viewpoint: A One-Sided View of Acoustic Traps"
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114:lens to generate a Bessel–Gauss beam, by using
1725:Čižmár, Tomáš; Dholakia, Kishan (2009-08-31).
1724:
1663:
1460:
132:. High order Bessel beams can be generated by
407:
363:Durnin, J. (1987). "Diffraction-free beams".
220:beam of constant intensity as it propagates.
59:is a wave whose amplitude is described by a
1776:"Microscopy with self-reconstructing beams"
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571:"Microscopy with self-reconstructing beams"
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235:light-sheet fluorescence microscopy
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1467:Juanying, Z.; et al. (2013).
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387:10.1103/PhysRevLett.58.1499
339:10.1080/0010751042000275259
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23:Evolution of a Bessel beam.
10:
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1291:Journal of Applied Physics
1038:10.1140/epje/i2009-10449-y
540:10.1103/PhysRevE.94.053004
1887:Optical Materials Express
1328:Optics and Photonics News
1136:10.1016/j.aop.2008.06.008
911:10.1016/j.aop.2008.01.011
188:exceed the speed of light
121:, or by placing a narrow
35:and resulting Bessel beam
1800:10.1038/nphoton.2010.204
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597:10.1038/nphoton.2010.204
211:Attenuation-compensation
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764:10.1109/TUFFC.2011.1807
366:Physical Review Letters
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1298:(1): 014916–014916–5.
229:Imaging and microscopy
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1284:Mitri, F. G. (2011).
610:Mitri, F. G. (2011).
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1394:10.1364/OL.29.000044
1070:Journal of Physics A
638:10.1364/OL.36.000766
430:10.1364/OL.17.000232
318:Contemporary Physics
119:diffraction gratings
16:Non-diffractive wave
1900:2013OMExp...3.1862M
1841:2018SciA....4R4817N
1792:2010NaPho...4..780F
1743:2009OExpr..1715558C
1737:(18): 15558–15570.
1688:2004OExpr..12.4001Z
1625:1995OptL...20.2042R
1580:2010JOpt...12l4002M
1535:2009OptL...34.2129J
1490:2013OptL...38..498Z
1438:2012OptL...37.5003C
1386:2004OptL...29...44B
1341:2009OptPN..20...42M
1304:2011JAP...109a4916M
1255:2009ASAJ..125.3539M
1210:2006ASAJ..120.3518M
1128:2008AnPhy.323.2840M
1083:2009JPhA...42x5202M
1030:2009EPJE...28..469M
903:2008AnPhy.323.1604M
846:2017ASAJ..141L.574G
719:2007ASAJ..121..753M
680:10.1103/Physics.9.3
630:2011OptL...36..766M
589:2010NaPho...4..780F
532:2016PhRvE..94e3004J
477:2014EL....10624005J
454:Europhysics Letters
422:1992OptL...17..232C
379:1987PhRvL..58.1499D
331:2005ConPh..46...15M
286:10.1038/nature01007
278:2002Natur.419..145G
865:20.500.12210/55318
840:(6): EL574–EL578.
173:Helmholtz equation
169:Laplace's equation
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1567:Journal of Optics
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1122:(11): 2840–2850.
1115:Annals of Physics
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890:Annals of Physics
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727:10.1121/1.2404931
659:Hill, M. (2016).
509:Physical Review E
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85:self-healing
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800:Wave Motion
57:Bessel beam
31:Diagram of
1832:1708.02612
1335:(12): 42.
523:1604.08353
249:References
186:, and can
140:Properties
96:plane wave
94:As with a
1629:CiteSeerX
1596:120332951
1357:122056218
1099:122118984
468:1401.6769
217:Airy beam
204:Airy beam
130:far field
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1761:19724554
1712:14469395
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556:27190492
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347:31363603
294:12226659
184:velocity
171:and the
150:occluded
126:aperture
110:with an
81:diffract
69:acoustic
1896:Bibcode
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302:4426776
274:Bibcode
180:X-waves
128:in the
123:annular
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112:axicon
100:energy
77:matter
75:, and
33:axicon
1827:arXiv
1708:S2CID
1674:arXiv
1592:S2CID
1472:(PDF)
1420:(PDF)
1353:S2CID
1177:S2CID
1095:S2CID
1050:S2CID
997:S2CID
952:S2CID
776:S2CID
552:S2CID
518:arXiv
489:S2CID
463:arXiv
343:S2CID
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1863:PMID
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159:The
1912:hdl
1904:doi
1853:PMC
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