The effect of submergence on the scattering by the interface between two semi-infinite sheets |
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| Authors: | T.D. Williams R. Porter |
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| Affiliation: | 1. M.V. Lomonosov Moscow State University, Moscow 119992, Russia;2. Kurnakov Institute of General and Inorganic Chemistry, Leninskii pr. 31, Moscow 119991, Russia;3. Institute of Physics, Polish Academy of Science, Warsaw, Poland;4. Institute of Metal Physics, Ekaterinburg 620990, Russia;1. School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;2. Ocean College, Zhejiang University, Hangzhou 310058, China;3. Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore;1. Atmosphere and Ocean Research Institute, The University of Tokyo, Chiba, Japan;2. Department of Earth and Planetary Science, The University of Tokyo, Tokyo, Japan;3. Research Institute for Global Change, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan;4. Institute of Low Temperature Science, Hokkaido University, Sapporo, Japan;5. Far Eastern Regional Hydrometeorological Research Institute, Vladivostok, Russia;1. Department of Crystalline Materials Science,Graduate School of Engineering, Nagoya University, Furo-cho, Nagoya 464-8603, Japan;2. Research Fellow of the Japan Society for the Promotion of Science, Japan;1. Ben Gurion University of the Negev, Beer Sheva, Israel;2. Physics Department, Nuclear Research Center of the Negev, Beer Sheva, Israel |
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| Abstract: | This paper considers the reflection and transmission of a flexural-gravity wave within ice sheets floating on water as it propagates through a series of abrupt changes in ice sheet characteristics. The canonical problem involves one such junction at which two semi-infinite ice sheets of different properties are either frozen together or separated by a crack. Unlike most mathematical approaches to problems involving ice sheets, we allow the ice sheets to adopt a variable submergence according to their thickness. The problem is solved using integral equations formulated through the matching of eigenfunction expansions. |
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