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Ray-based modeling of reverberation in subsurface circular cylindrical void
Authors:Ping Chen  Dan Xia  Boyuan Chen  Lin Li  Xiuzhong Li  Tian-lin Dong
Institution:1. School of Civil, Environmental and Architectural Engineering, Korea University, Seoul 136-701, Republic of Korea;2. Department of Construction and Disaster Prevention Engineering, Daejeon University, Daejeon 300-716, Republic of Korea
Abstract:Ray representation of electromagnetic resonance (reverberation) mode in subsurface circular cylindrical dielectric resonator (including void) is proposed. The modal ray path must be regular polygon or polystar. Travel time formulas for fundamental resonance multiples and the detecting conditions for non-exact-backscattering rays are derived. Simulation of time–distance curves of a modal hollow concrete block is generally concurred to the measured ground penetrating radar signal pattern. The proposed modeling method can be generalized to other resonant cavities with different profiles and provide a sound base for further applications of other more complicated geophysics science and engineering fields, particularly in ray-based tomography.
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