Modeling turbulent wave-front phase as a fractional Brownian motion: a new approach
✍ Scribed by Pérez, Darío G.; Zunino, Luciano; Garavaglia, Mario
- Book ID
- 115390054
- Publisher
- Optical Society of America
- Year
- 2004
- Tongue
- English
- Weight
- 194 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1084-7529
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📜 SIMILAR VOLUMES
In this paper, a Brownian motion of order n is defined by a probabilistic approach which is different from Mandelbrot's and Sainty's models. This process is constructed in the form of the integral of a complex Gaussian white noise which itself is defined as the product of a Gaussian white noise by a
By using a very simple model of random walk de\_ned on the roots of the unity in the complex plane\ one can obtain the model of fractional brownian motion of order n which has been previously introduced in the form of rotating Gaussian white noise[ This de\_nition of fractional Brownian motion of or