Densidad espectral en guías de onda mediante propiedades estadísticas y teorema de Wiener-Khintchine

There are several cases in which the use of optical fiber is use, its properties above many mechanical cables makes it an excellent waveguide, it has led to the development of communications, engineering, including the medical and biological science. However, poor coupling or cuts can affect this means of transmission. When the optical path within the waveguide undergoes alterations, there are losses, overlap in the signal, errors in demodulation and decoding, limiting its transmission capacity. In this work the result in the changes that the spectral density presents in a circular waveguide are reported, when subjected to deformations in the axes (x, y), through the perspective of speckle pattern, and its statistical properties in correlation with the Wiener Khintchine Theorem. The results obtained suggest that the behavior of the spectral density is descending and that it is feasible to determine the similarity between the reference spectral density and the one that undergoes deformation for both the statistical analysis and the Wiener Khintchine Theorem.