Bessel beam: Difference between revisions
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A '''Bessel beam''' is a beam of [[electromagnetic radiation]] whose [[intensity]] is described by a [[Bessel function]]. |
A '''Bessel beam''' is a beam of [[electromagnetic radiation]] whose [[intensity]] is described by a [[Bessel function]]. 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, which spreads out after being focussed down to a small spot. A true Bessel beam cannot be created, because it 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. 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]]. |
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These properties together make Bessel beams extremely useful to research in [[Optical Tweezers|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 [[occlusion|occluded]] by the dielectric particles being tweezed. |
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The [[mathematics|mathematical]] function which describes a Bessel beam is a solution of [[bessel|Bessel's]] differential equation, which itself arises from separable solutions to [[Laplace's equation]] and the [[Helmholtz equation]] in cylindrical coordinates. |
The [[mathematics|mathematical]] function which describes a Bessel beam is a solution of [[bessel|Bessel's]] differential equation, which itself arises from separable solutions to [[Laplace's equation]] and the [[Helmholtz equation]] in cylindrical coordinates. |
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Bessel beams are made in practice by focusing a [[Gaussian beam]] with an [[axicon]] lens. |
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==See also== |
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* [[Bessel function]] |
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==References== |
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* [[Gaussian beam]] |
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<references/> |
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[[Category:Optics]] |
[[Category:Optics]] |
Revision as of 19:15, 6 February 2007
A Bessel beam is a beam of electromagnetic radiation whose intensity is described by a Bessel function. 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, which spreads out after being focussed down to a small spot. A true Bessel beam cannot be created, because it 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. 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.
These properties together make Bessel beams extremely useful to research in 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.
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.
Bessel beams are made in practice by focusing a Gaussian beam with an axicon lens.