Probability Distribution for Coherent Transport of Random Waves
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911251905380352 |
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| author | Wang, Yunrui Guo, Cheng |
| author_facet | Wang, Yunrui Guo, Cheng |
| contents | We establish a comprehensive probability theory for coherent transport of random waves through arbitrary linear media. The transmissivity distribution for random coherent waves is a fundamental B-spline with knots at the transmission eigenvalues. We analyze the distribution's shape, bounds, moments, and asymptotic behaviors. In the large n limit, the distribution converges to a Gaussian whose mean and variance depend solely on those of the eigenvalues. This result resolves the apparent paradox between bimodal eigenvalue distribution and unimodal transmissivity distribution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04602 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probability Distribution for Coherent Transport of Random Waves Wang, Yunrui Guo, Cheng Optics Mesoscale and Nanoscale Physics Probability We establish a comprehensive probability theory for coherent transport of random waves through arbitrary linear media. The transmissivity distribution for random coherent waves is a fundamental B-spline with knots at the transmission eigenvalues. We analyze the distribution's shape, bounds, moments, and asymptotic behaviors. In the large n limit, the distribution converges to a Gaussian whose mean and variance depend solely on those of the eigenvalues. This result resolves the apparent paradox between bimodal eigenvalue distribution and unimodal transmissivity distribution. |
| title | Probability Distribution for Coherent Transport of Random Waves |
| topic | Optics Mesoscale and Nanoscale Physics Probability |
| url | https://arxiv.org/abs/2511.04602 |