Through flattening-boundaries method to new square-gradient mechanism of surface scattering

• Published in: 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory pp. 354 - 359
• Main Authors: Rendon, M., Makarov, N.M., Izrailev, F.M.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01-06-2008
• Subjects: Artificial neural networks; Attenuation; Electromagnetic waveguides; Optical waveguides; Scattering; Surface roughness; Surface waves
• ISBN: 9781424422845; 1424422841
• ISSN: 2161-1734
• DOI: 10.1109/MMET.2008.4580993

We develop the flattening-boundaries method to the problem of wave scattering in quasi-one-dimensional guiding systems with rough boundaries. This method allows one to reduce the problem to that describing the waveguide with flat boundaries and an effective scattering potential of a special structure. A detailed analysis of the potential reveals that apart from terms associated with well-known mechanisms of surface scattering, it contains important terms describing the square-gradient mechanism of scattering. These terms depend on the square of the derivative of the waveguide boundaries and in spite of their apparent smallness, they prevail in a physically important region of roughness parameters.