Propagation of Bessel and Airy beams through atmospheric turbulence

Nelson, William H.; Palastro, J. P.; Davis, Christophér C.; Sprangle, P.

doi:10.1364/josaa.31.000603

Cited by 88 publications

(50 citation statements)

References 22 publications

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“…These results are in line with other authors simulations such as Nelson et al [11] who showed that the turbulence disrupts the ring structure of the Bessel beams and that the best power transmission is when that Bessel beam has no rings at all as in our case. In their paper they describe this case as a truncated Gaussian beam.…”

Section: Discussionsupporting

confidence: 94%

“…In this paper we simulate the propagation of both Gaussian and Bessel beams from ground level, through atmospheric turbulence. Previously, Nelson et al [11] investigated the propagation of these beams within a short ground-to-ground range of 6.4km, with constant strength of turbulence. They showed how the ring structure is disrupted by the atmosphere and that there is an increasing on axis intensity loss with an increasing number of rings.…”

Section: Introductionmentioning

confidence: 99%

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Long-distance Bessel beam propagation through Kolmogorov turbulence

et al. 2015

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Section: Discussionsupporting

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Long-distance Bessel beam propagation through Kolmogorov turbulence

et al. 2015

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“…For comparison, we include the case of monochromatic, phase matched tiles. Following our previous work [12], we propagate the beam by numerically solving the paraxial wave equation. Atmospheric turbulence is modeled as phase screens located at discrete locations along the z-axis.…”

Section: Propagation In Turbulent Atmospherementioning

confidence: 99%

“…Atmospheric turbulence is modeled as phase screens located at discrete locations along the z-axis. For details on the split-step phase screen simulation see [12]. , as a function of bucket radius for the incoherently combined beam (blue), coherently combined beam (green), and phase matched monochromatic beam (red).…”

Section: Propagation In Turbulent Atmospherementioning

confidence: 99%

Atmospheric Propagation and Combining of High-Power Lasers

Nelson¹,

Sprangle²,

Davis³

2015

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Standard Form 298 (Rev. 8-98)Prescribed by ANSI Std. Z39.18Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information In this paper we analyze the beam combining and atmospheric propagation of high-power lasers for directed-energy (DE) applications. The large linewidths inherent in high-power fiber, and to a lesser extent, slab lasers cause random phase and intensity fluctuations occurring on sub-nanosecond time scales. To coherently combine these high-power lasers would involve instruments capable of precise phase control and operating at rates greater than ~10 GHz. To the best of our knowledge, this technology does not currently exist. This presents a challenging problem when attempting to phase-lock high-power lasers, which is not encountered when phase-locking low-power lasers, for example mW power levels. Regardless, we demonstrate that even if instruments are developed that can precisely control the phase of high-power lasers; coherent combining is problematic for DE applications. The dephasing effects of atmospheric turbulence typically encountered in DE applications will degrade the coherent properties of the beam before it reaches the target. Through simulations, we find that coherent beam combining in moderate turbulence and multi-km propagation distances has little advantage over incoherent combining. Additionally, in strong turbulence and multi-km propagation ranges, we find nearly indistinguishable intensity profiles and virtually no difference in the energy on the target between coherently and incoherently combined laser beams. Consequently, we find that coherent beam combining at the transmitter plane is ineffective under typical atmospheric conditions. AbstractIn this paper we analyze the beam combining and atmospheric propagation of high-power lasers for directed-energy (DE) applications. The large linewidths inherent in high-power fiber, and to a lesser extent, slab lasers cause random phase and intensity fluctuations occurring on subnanosecond time scales. To coherently combine these high-power lasers would involve instruments capable of precise phase control and operating at rates greater than ~10 GHz. To the best of our knowledge, this technology does not currently exist. This presents a challenging problem when attempting to phase-lock high-power lasers, which is not encountered when phaselocking low-power lasers, for example mW power levels. Regardless, we demonstrate that even if instruments are developed that can precisely control the phase of high-power lasers; coherent combining is problematic for DE applications. The dephasing ...

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“…Such beams allow variations of their transverse diffraction pattern along the optical axis to be controlled. The practical significance of the nondiffracting beams stems from their ability to show stability during propagation in a turbulent atmosphere [10], whereas femtosecond Bessel pulses preserve their shape as they propagate [11].…”

Section: Introductionmentioning

confidence: 99%

Lommel modes

Kovalev

Kotlyar

2015

Optics Communications

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a b s t r a c tWe study a non-paraxial family of nondiffracting laser beams whose complex amplitude is proportional to an n-th order Lommel function of two variables. These beams are referred to as Lommel modes. Explicit analytical relations for the angular spectrum of plane waves and orbital angular momentum of the Lommel beams have been derived. The even (n ¼2p) and odd (n ¼2pþ1) Lommel modes are mutually orthogonal, as are the Lommel modes characterized by different projections of the wave vector on the optical axis. At a definite parameter, the Lommel modes change to conventional Bessel beams.Asymmetry of the Lommel modes depends on a complex parameter с, with its modulus in the polar notation defining the intensity pattern in the beam′s cross-section and the argument defining the angle of rotation of the intensity pattern about the optical axis. If the parameter с is real or purely imaginary, the transverse intensity component of the Lommel modes is specularly symmetric about the Cartesian coordinate axes. Besides, with the modulus of the с parameter increasing from 0 to 1, the orbital angular momentum of the Lommel modes increases from a finite value proportional to the topological charge n to infinity. The orbital angular momentum of the Lommel modes undergoes continuous variations, in contrast to its discrete changes in the Bessel modes.

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Propagation of Bessel and Airy beams through atmospheric turbulence

Cited by 88 publications

References 22 publications

Long-distance Bessel beam propagation through Kolmogorov turbulence

Long-distance Bessel beam propagation through Kolmogorov turbulence

Atmospheric Propagation and Combining of High-Power Lasers

Lommel modes

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