Correlation dimension of a field diffracted by two-dimensional fractals

Peter P. Maksimyak; V. V. Ryukhtin; Igor V. Silivra

doi:10.1117/12.370426

18 November 1999 Correlation dimension of a field diffracted by two-dimensional fractals

Peter P. Maksimyak, V. V. Ryukhtin, Igor V. Silivra

Proceedings Volume 3904, Fourth International Conference on Correlation Optics; (1999) https://doi.org/10.1117/12.370426
Event: International Conference on Correlation Optics, 1999, Chernivsti, Ukraine

Abstract

The dimension parameters of the field, diffracted by 2D fractals, such as Sierpinski's carpets is studied using the theory of stochastic oscillations. The correlation exponent v is used as the parameter characterizing the spatial complexity of an optical field. This parameter gives the number of spatial harmonics with incommensurable periods by means of which the structure of the object can be described. Observed quadratic connection between v and fractals levels.

Citation Download Citation

Peter P. Maksimyak, V. V. Ryukhtin, and Igor V. Silivra "Correlation dimension of a field diffracted by two-dimensional fractals", Proc. SPIE 3904, Fourth International Conference on Correlation Optics, (18 November 1999); https://doi.org/10.1117/12.370426

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