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Density-matrix method applied to mode coupling in lenslike fibers

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Abstract

Mode conversion due to random refractive-index fluctuations of a lossless multimode waveguide is considered. We obtain an equation of motion for an average density matrix, which describes wave phenomena in statistically identical waveguides. This equation includes the coupled power equation given by Marcuse, and also describes evolution of correlations between propagating modes. Using this equation, we obtain mode-conversion characteristics among degenerate modes in a lenslike fiber for several correlation lengths and variances of the refractive-index fluctuations.

© 1980 Optical Society of America

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