Beam instability of broadband stochastic laser fields.
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| Title: | Beam instability of broadband stochastic laser fields. |
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| 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] |
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| Database: | Engineering Source |
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| 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] |
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| ISSN: | 09462171 |
| DOI: | 10.1007/s00340-024-08300-2 |
