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Effect of dispersion on the convergence rate for Green's function retrieval
John Y Yoritomo1, Richard L Weaver1
1Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA.
Dispersion significantly lowers signal-to-noise ratio (SNR) in wave propagation studies using noise correlation. This finding is crucial for understanding gravity wave retrieval in oceans and atmospheres.
Area of Science:
- Geophysics
- Wave Propagation
- Oceanography
Background:
- Green's function retrieval via noise correlation is vital for studying wave propagation.
- Signal characteristics are affected by band limitation, dispersion, and propagation distance.
Purpose of the Study:
- To investigate the impact of dispersion on Green's function retrieval.
- To analyze how dispersion affects the signal-to-noise ratio (SNR) in wave propagation.
Main Methods:
- Analytical examination of signal spread and amplitude reduction due to dispersion.
- Numerical simulations to validate theoretical findings.
- Case study on surface gravity wave noise in the ocean.
Main Results:
- Strong dispersion substantially lowers SNR in wave propagation, especially over large distances.
- Dispersion effects are particularly relevant for gravity waves in oceanic and atmospheric environments.
- Dispersion is proposed as a key factor in recent failures of surface gravity wave retrieval.
Conclusions:
- Dispersion poses a significant challenge to Green's function retrieval, impacting SNR.
- Understanding and mitigating dispersion effects are essential for accurate wave propagation analysis.
- Further methods are needed to improve SNR in highly dispersive media.
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