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Beam instability of broadband stochastic laser fields.

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Title: Beam instability of broadband stochastic laser fields.
Authors: Zheltikov, Aleksei M.1 (AUTHOR) zheltikov@tamu.edu, Sokolov, Alexei V.1 (AUTHOR), Yi, Zhenhuan1 (AUTHOR), Agarwal, Girish S.1 (AUTHOR), Eden, J. Gary1,2 (AUTHOR), Scully, Marlan O.1 (AUTHOR)
Source: Applied Physics B: Lasers & Optics. Nov2024, Vol. 130 Issue 11, p1-9. 9p.
Subjects: Modulation theory, Laser beams, Signal-to-noise ratio, Analytical solutions, Lasers
Abstract: Unlike the deterministic theory of modulation instability (MI), which describes this process in terms of a well-defined gain spectrum and a well-resolved threshold, the statistical treatment of MIs, presented in this study, is concerned with a question as to how probable MI-driven beam-instability events are. We show that stochastic laser beams that nominally meet the deterministic beam-stability criterion can emerge as unstable on large pulse samples. With the laser peak power set well below the deterministic MI threshold, the count rate of MI-driven beam-instability events within a large sample of laser pulses is shown to be Poissonian-distributed, with its mean defined by the exponent of the extreme-event beam-instability statistics. We present a closed-form analytical solution for this beam-instability count rate, revealing the key tendencies in its behavior as a function of the signal-to-noise ratio and the bandwidth of its noise component. We demonstrate that the stochastic beam-instability dynamics of high-power laser field waveforms, including the laser pulses used for the ignition of inertial confinement fusion, can be scaled down in laser power and studied in laboratory-scale laser experiments. [ABSTRACT FROM AUTHOR]
Copyright of Applied Physics B: Lasers & Optics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Beam instability of broadband stochastic laser fields.
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  Data: <searchLink fieldCode="AR" term="%22Zheltikov%2C+Aleksei+M%2E%22">Zheltikov, Aleksei M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zheltikov@tamu.edu</i><br /><searchLink fieldCode="AR" term="%22Sokolov%2C+Alexei+V%2E%22">Sokolov, Alexei V.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yi%2C+Zhenhuan%22">Yi, Zhenhuan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Agarwal%2C+Girish+S%2E%22">Agarwal, Girish S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Eden%2C+J%2E+Gary%22">Eden, J. Gary</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Scully%2C+Marlan+O%2E%22">Scully, Marlan O.</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Applied+Physics+B%3A+Lasers+%26+Optics%22">Applied Physics B: Lasers & Optics</searchLink>. Nov2024, Vol. 130 Issue 11, p1-9. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Modulation+theory%22">Modulation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Laser+beams%22">Laser beams</searchLink><br /><searchLink fieldCode="DE" term="%22Signal-to-noise+ratio%22">Signal-to-noise ratio</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Lasers%22">Lasers</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Unlike the deterministic theory of modulation instability (MI), which describes this process in terms of a well-defined gain spectrum and a well-resolved threshold, the statistical treatment of MIs, presented in this study, is concerned with a question as to how probable MI-driven beam-instability events are. We show that stochastic laser beams that nominally meet the deterministic beam-stability criterion can emerge as unstable on large pulse samples. With the laser peak power set well below the deterministic MI threshold, the count rate of MI-driven beam-instability events within a large sample of laser pulses is shown to be Poissonian-distributed, with its mean defined by the exponent of the extreme-event beam-instability statistics. We present a closed-form analytical solution for this beam-instability count rate, revealing the key tendencies in its behavior as a function of the signal-to-noise ratio and the bandwidth of its noise component. We demonstrate that the stochastic beam-instability dynamics of high-power laser field waveforms, including the laser pulses used for the ignition of inertial confinement fusion, can be scaled down in laser power and studied in laboratory-scale laser experiments. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Applied Physics B: Lasers & Optics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Text: English
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      – SubjectFull: Modulation theory
        Type: general
      – SubjectFull: Laser beams
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      – SubjectFull: Signal-to-noise ratio
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      – TitleFull: Beam instability of broadband stochastic laser fields.
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              M: 11
              Text: Nov2024
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