| Presentation | 2011-10-27 Analysis based on PMD Operator derives the Maxwellian Evolution to 3D : Local PMD should follow 2D Maxwellian Distribution Takeshi Ozeki, Teruhiko Kudo, Manabu Oguma, Kimiaki Iwasaki, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In our previous OCS-Report, it is shown local PMD follows a series of exponentiated Lorentzian probability density functions. It includes the Maxwellian distribution as a limiting case neglecting fat-tail. An open question remained was "why it evolves to the 3D Maxwellian by reducing correlation due to enlarging length of segment?" Here, we solve it: PMD operator based on Taylor expansion of Jones matrix derives the Maxwellian evolves from 2D to 3D as increasing PMD. PMD given by difference of eigenvalues of PMD operator reduces to root of squared sum of 3-dimensional "PMD basic parameters" by vanishing contribution of fast-varying cross term, in the case of larger PMD. On the contrary, in the case of extremely small PMD such as local PMD, the PMD definition reduces to be two-dimensional. So there is no discrepancy even if the local PMD evolves to 2D Maxwellian distribution by reducing correlation. The evolution of PMD distribution from 2D to 3D is found for the first time, to the best of our knowledge. We point out that the digital-coherent system with high speed parallel signal processing can accumulate data of transmission-line imperfectness automatically so that powerful actual dada will improve the system reliability design. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | PMD statistics / non-Maxwellian / squared Lorenztian velocity distribution / system outage probability |
| Paper # | OCS2011-55,OPE2011-93,LQE2011-56 |
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| Conference Information | |
| Committee | OCS |
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| Conference Date | 2011/10/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Optical Communication Systems (OCS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis based on PMD Operator derives the Maxwellian Evolution to 3D : Local PMD should follow 2D Maxwellian Distribution |
| Sub Title (in English) | |
| Keyword(1) | PMD statistics |
| Keyword(2) | non-Maxwellian |
| Keyword(3) | squared Lorenztian velocity distribution |
| Keyword(4) | system outage probability |
| 1st Author's Name | Takeshi Ozeki |
| 1st Author's Affiliation | Faculty of Science and Technology, Sophia University() |
| 2nd Author's Name | Teruhiko Kudo |
| 2nd Author's Affiliation | Faculty of Science and Technology, Sophia University |
| 3rd Author's Name | Manabu Oguma |
| 3rd Author's Affiliation | NTT Photonics Lab, NTT Corporation |
| 4th Author's Name | Kimiaki Iwasaki |
| 4th Author's Affiliation | Anritsu Corporation |
| Date | 2011-10-27 |
| Paper # | OCS2011-55,OPE2011-93,LQE2011-56 |
| Volume (vol) | vol.111 |
| Number (no) | 265 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |