The application of Gaussian beam. Formalism to optical propagation in nonlinear media |
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Authors: | Ammon Yariv Pochi Yeh |
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Institution: | California Institute of Technology, Pasadena, California 91125, USA |
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Abstract: | The nonlinear propagation problem of optical beams in media with an intensity dependent indices of refraction is solved in the case of a fundamental gaussian beam. This solution is made possible by assuming everywhere along the propagation path a quadratic index profile. The quadratic constant is obtained self-consistently from the second term in a Taylor expansion of the local gaussian intensity. The solution constitutes an extension of the well known ABCD formalism to nonlinear propagation. |
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