Anton Kochetkov, Ekaterina Kocharovskaya, Efim Khazanov
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Impact of random spatial noise of a laser beam on the probability of fluence to exceed the threshold value
The analytical expressions of the probability for a two-dimensional random function (for example, fluence of a laser beam with noise) to exceed the threshold value over a given area have been derived. The probability is fully determined only by two parameters. The first one, the product of the beam area and the squared second normalized spectral moment, has the meaning of the equivalent number of noise modes and is determined only by the spectral properties of the noise. The second parameter, on the contrary, does not depend on the noise spectrum; it is determined only by the ratio of the standard deviation to the difference between the threshold and mean values of fluence. The numerical simulations are in a good agreement with the theory. The results are generalized to several cases of practical interest.
期刊介绍:
The Journal of the Optical Society of America B (JOSA B) is a general optics research journal that complements JOSA A. It emphasizes scientific research on the fundamentals of the interaction of light with matter such as quantum optics, nonlinear optics, and laser physics. Topics include:
Advanced Instrumentation and Measurements
Fiber Optics and Fiber Lasers
Lasers and Other Light Sources from THz to XUV
Light-Induced Phenomena
Nonlinear and High Field Optics
Optical Materials
Optics Modes and Structured Light
Optomechanics
Metamaterials
Nanomaterials
Photonics and Semiconductor Optics
Physical Optics
Plasmonics
Quantum Optics and Entanglement
Quantum Key Distribution
Spectroscopy and Atomic or Molecular Optics
Superresolution and Advanced Imaging
Surface Optics
Ultrafast Optical Phenomena
Wave Guiding and Optical Confinement
JOSA B considers original research articles, feature issue contributions, invited reviews and tutorials, and comments on published articles.