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Journal ArticleDOI

Exact solutions for nondiffracting beams. I. The scalar theory

J. Durnin
- 01 Apr 1987 - 
- Vol. 4, Iss: 4, pp 651-654
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TLDR
In this paper, exact nonsingular solutions of the scalar-wave equation for beams that are non-diffracting were presented, which means that the intensity pattern in a transverse plane is unaltered by propagating in free space.
Abstract
We present exact, nonsingular solutions of the scalar-wave equation for beams that are nondiffracting. This means that the intensity pattern in a transverse plane is unaltered by propagating in free space. These beams can have extremely narrow intensity profiles with effective widths as small as several wavelengths and yet possess an infinite depth of field. We further show (by using numerical simulations based on scalar diffraction theory) that physically realizable finite-aperture approximations to the exact solutions can also possess an extremely large depth of field.

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Citations
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Accelerating finite energy Airy beams

TL;DR: This work investigates the acceleration dynamics of quasi-diffraction-free Airy beams in both one- and two-dimensional configurations and shows that this class of finite energy waves can retain their intensity features over several diffraction lengths.
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Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam

TL;DR: Bessel beams do not diverge and, furthermore, if part of the beam is obstructed or distorted the beam reconstructs itself after a characteristic propagation distance, which may be utilized within optical tweezers to trap particles in multiple, spatially separated sample cells with a single beam.
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Bessel-Gauss beams

TL;DR: In this paper, a new type of solution of the paraxial wave equation is presented, which encompasses as limiting cases both the diffraction-free beam and the gaussian beam.
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Optical tweezers for single cells

TL;DR: Current limitations and future challenges of OT for these new paradigms are highlighted and the future trends of employing OT in single cells, especially in stem cell delivery, tissue engineering and regenerative medicine are prospected.
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Realization of general nondiffracting beams with computer-generated holograms

TL;DR: This work shows by the method of stationary phase that any of these wave fields can be realized approximately with a laser and a single computer-generated hologram, and demonstrates experimentally the formation of arbitrary-order Bessel beams and rotationally nonsymmetric beams.
References
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Journal ArticleDOI

Diffraction-free beams.

TL;DR: The first experimental investigation of nondiffracting beams, with beam spots as small as a few wavelengths, can exist and propagate in free space, is reported.
Journal ArticleDOI

Laser beams and resonators

TL;DR: This paper is a review of the theory of laser beams and resonators and emphasis is placed on formulations and derivations which lead to basic understanding and on results which bear practical significance.
Journal ArticleDOI

Limits to resolution in time-dependent spectral analysis of pulses

TL;DR: In this article, it is shown that prior knowledge of a finite upper bound on the maximum length of the input pulse can make it possible to violate the classical uncertainty principle and achieve enhanced spectral resolution.
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