Supplementary material from "Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity" ...
The propagation of flexural gravity waves, routinely used to model wave interaction with sea ice, is studied, including the effect of compression and current. A number of significant and surprising properties are shown to exist. The occurrence of blocking above a critical value of compression is ill...
| Main Authors: | , , |
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| Format: | Article in Journal/Newspaper |
| Language: | unknown |
| Published: |
The Royal Society
2018
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.6084/m9.figshare.c.3965823 https://rs.figshare.com/collections/Supplementary_material_from_Dynamics_of_flexural_gravity_waves_from_sea_ice_to_Hawking_radiation_and_analogue_gravity_/3965823 |
| Summary: | The propagation of flexural gravity waves, routinely used to model wave interaction with sea ice, is studied, including the effect of compression and current. A number of significant and surprising properties are shown to exist. The occurrence of blocking above a critical value of compression is illustrated. This is analogous to propagation of surface gravity waves in the presence of opposing current and light wave propagation in the curved space–time near a black hole, therefore providing a novel system for studying analogue gravity. Between the blocking and buckling limit of the compressive force, the dispersion relation possesses three positive real roots, contrary to an earlier observation of having a single positive real root. Negative energy waves, in which the phase and group velocity point in opposite directions, are also shown to exist. In the presence of an opposing current and certain critical ranges of compressive force, the second blocking point shifts from the positive to the negative branch of ... |
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