Abstract
For some purposes, both analytical and numerical, it is useful to transform the linear second order differential equation for the wave amplitude into a non-linear first order Riccati type differential equation for a quantity related to the reflection amplitude. The advantage lies in dealing directly with the quantity one wants to calculate. A disadvantage is the non-linearity of the resulting equations.
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Lekner, J. (2016). Equations for the Reflection Amplitudes. In: Theory of Reflection. Springer Series on Atomic, Optical, and Plasma Physics, vol 87. Springer, Cham. https://doi.org/10.1007/978-3-319-23627-8_5
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DOI: https://doi.org/10.1007/978-3-319-23627-8_5
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Online ISBN: 978-3-319-23627-8
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