Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection
The indirect illumination system with diffuse reflection light-emitting diode (LED) is widely applied in various fields that require high illumination uniformity. On the basis of the Lambertian characteristic of LEDs and the ideal diffuse surface, a design method that features a multiple diffuse ref...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Photonics Journal |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9121698/ |
| _version_ | 1819158874983235584 |
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| author | Zhenmin Zhu Xin Xu Xiang Sun Xinyun Wang |
| author_facet | Zhenmin Zhu Xin Xu Xiang Sun Xinyun Wang |
| author_sort | Zhenmin Zhu |
| collection | DOAJ |
| description | The indirect illumination system with diffuse reflection light-emitting diode (LED) is widely applied in various fields that require high illumination uniformity. On the basis of the Lambertian characteristic of LEDs and the ideal diffuse surface, a design method that features a multiple diffuse reflectance freeform surface is proposed and its related mathematical model is established in this paper. A nonlinear algebraic equation is solved to redistribute the energy emitted by the LED to a uniformity illuminated scene. The outline of the diffuse surface is obtained by solving equations numerically. With the use of the ray tracing software TracePro, simulation results show that the effect is generally the best and the uniformity and efficiency are significantly improved compared with other methods when the proportion between the radius of the target surface and the distance between the LED light source and the target surface is 1:4. |
| first_indexed | 2024-12-22T16:31:36Z |
| format | Article |
| id | doaj.art-4ca4cd7d3d9b4d478f4ba9ab71d998a1 |
| institution | Directory Open Access Journal |
| issn | 1943-0655 |
| language | English |
| last_indexed | 2024-12-22T16:31:36Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj.art-4ca4cd7d3d9b4d478f4ba9ab71d998a12022-12-21T18:20:02ZengIEEEIEEE Photonics Journal1943-06552020-01-0112411710.1109/JPHOT.2020.30035439121698Establishment and Solution for a Mathematical Model of Multiple Diffuse ReflectionZhenmin Zhu0https://orcid.org/0000-0003-0930-9103Xin Xu1https://orcid.org/0000-0001-5052-6084Xiang Sun2https://orcid.org/0000-0002-1144-1050Xinyun Wang3School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang, ChinaSchool of Electrical and Automation Engineering, East China Jiaotong University, Nanchang, ChinaAcademy for Engineering & Technology, Fudan University, Shanghai, ChinaSchool of Electrical and Automation Engineering, East China Jiaotong University, Nanchang, ChinaThe indirect illumination system with diffuse reflection light-emitting diode (LED) is widely applied in various fields that require high illumination uniformity. On the basis of the Lambertian characteristic of LEDs and the ideal diffuse surface, a design method that features a multiple diffuse reflectance freeform surface is proposed and its related mathematical model is established in this paper. A nonlinear algebraic equation is solved to redistribute the energy emitted by the LED to a uniformity illuminated scene. The outline of the diffuse surface is obtained by solving equations numerically. With the use of the ray tracing software TracePro, simulation results show that the effect is generally the best and the uniformity and efficiency are significantly improved compared with other methods when the proportion between the radius of the target surface and the distance between the LED light source and the target surface is 1:4.https://ieeexplore.ieee.org/document/9121698/Diffuse reflectionuniform illuminationfreeform surface |
| spellingShingle | Zhenmin Zhu Xin Xu Xiang Sun Xinyun Wang Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection IEEE Photonics Journal Diffuse reflection uniform illumination freeform surface |
| title | Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection |
| title_full | Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection |
| title_fullStr | Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection |
| title_full_unstemmed | Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection |
| title_short | Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection |
| title_sort | establishment and solution for a mathematical model of multiple diffuse reflection |
| topic | Diffuse reflection uniform illumination freeform surface |
| url | https://ieeexplore.ieee.org/document/9121698/ |
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