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The stability condition for the FDTD of the optical diffusion equations
| Title: | The stability condition for the FDTD of the optical diffusion equations |
| Authors: | Toba, Hidemitsu Browse this author | | Odate, Satoru Browse this author | | Otaki, Katsura Browse this author | | Nishimura, Goro Browse this author →KAKEN DB |
| Keywords: | Optical diffusion equations | | FDTD | | Stability analysis |
| Issue Date: | Feb-2020 |
| Publisher: | The Optical Society of Japan（日本光学会） |
| Journal Title: | The Optical Society of Japan（日本光学会） |
| Volume: | 27 |
| Issue: | 1 |
| Start Page: | 81 |
| End Page: | 89 |
| Publisher DOI: | 10.1007/s10043-019-00567-7 |
| Abstract: | The finite-difference time-domain (FDTD) method, which is often used to solve Maxwell's equations, has been proposed to solve the optical diffusion equations to simulate light propagation in turbid media such as biological tissue. Finite-difference methods can be numerically unstable and calculation can diverge unless a stability condition is satisfied. Until now, the stability condition for FDTD of the optical diffusion equations has not been derived. In this paper, we derive a stability condition for FDTD of the optical diffusion equations using the von Neumann stability analysis and verify the condition numerically. |
| Rights: | This is a post-peer-review, pre-copyedit version of an article published in Optical Review. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10043-019-00567-7 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/80344 |
| Appears in Collections: | 電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 西村 吾朗
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