A skew freeform reflector design method for prescribed off-axis irradiance

Jian Jia Su; Chung-Hao Tien; Yu Lin Tsai; Chin-Tien Wu

doi:10.1016/j.rinp.2019.102193

A skew freeform reflector design method for prescribed off-axis irradiance

Jian Jia Su, Chung-Hao Tien, Yu Lin Tsai, Chin-Tien Wu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper we proposed a new methodology for designing freeform reflectors tailored to redistribute the radiant flux emitted by a point light source onto a target plane with the prescribed irradiance pattern. Based on the laws of reflection and energy conservation, a skew freeform model with a set of second-order ordinary differential equations formulating the ray tracing between the source and target domain was presented. A 3D freeform reflector was constructed by using such skew freeform model with quadric surface fitting accordingly. Proposed scheme is applicable for arbitrary geometric-based mapping without the restrictions subject to the target, source, collective solid angle, or target topography, respectively.

Original language	American English
Article number	102193
Journal	Results in Physics
Volume	13
DOIs	https://doi.org/10.1016/j.rinp.2019.102193
State	Published - Jun 2019

Keywords

Computation methods
Geometric optical design
Illumination design
Non-imaging optics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1016/j.rinp.2019.102193

Cite this

@article{a7e847f90fbb4db79fcd5b939f86d5ab,

title = "A skew freeform reflector design method for prescribed off-axis irradiance",

abstract = "In this paper we proposed a new methodology for designing freeform reflectors tailored to redistribute the radiant flux emitted by a point light source onto a target plane with the prescribed irradiance pattern. Based on the laws of reflection and energy conservation, a skew freeform model with a set of second-order ordinary differential equations formulating the ray tracing between the source and target domain was presented. A 3D freeform reflector was constructed by using such skew freeform model with quadric surface fitting accordingly. Proposed scheme is applicable for arbitrary geometric-based mapping without the restrictions subject to the target, source, collective solid angle, or target topography, respectively.",

keywords = "Computation methods, Geometric optical design, Illumination design, Non-imaging optics",

author = "Su, {Jian Jia} and Chung-Hao Tien and Tsai, {Yu Lin} and Chin-Tien Wu",

note = "Publisher Copyright: {\textcopyright} 2019 The Authors",

year = "2019",

month = jun,

doi = "10.1016/j.rinp.2019.102193",

language = "American English",

volume = "13",

journal = "Results in Physics",

issn = "2211-3797",

publisher = "Elsevier BV",

}

TY - JOUR

T1 - A skew freeform reflector design method for prescribed off-axis irradiance

AU - Su, Jian Jia

AU - Tien, Chung-Hao

AU - Tsai, Yu Lin

AU - Wu, Chin-Tien

PY - 2019/6

Y1 - 2019/6

N2 - In this paper we proposed a new methodology for designing freeform reflectors tailored to redistribute the radiant flux emitted by a point light source onto a target plane with the prescribed irradiance pattern. Based on the laws of reflection and energy conservation, a skew freeform model with a set of second-order ordinary differential equations formulating the ray tracing between the source and target domain was presented. A 3D freeform reflector was constructed by using such skew freeform model with quadric surface fitting accordingly. Proposed scheme is applicable for arbitrary geometric-based mapping without the restrictions subject to the target, source, collective solid angle, or target topography, respectively.

AB - In this paper we proposed a new methodology for designing freeform reflectors tailored to redistribute the radiant flux emitted by a point light source onto a target plane with the prescribed irradiance pattern. Based on the laws of reflection and energy conservation, a skew freeform model with a set of second-order ordinary differential equations formulating the ray tracing between the source and target domain was presented. A 3D freeform reflector was constructed by using such skew freeform model with quadric surface fitting accordingly. Proposed scheme is applicable for arbitrary geometric-based mapping without the restrictions subject to the target, source, collective solid angle, or target topography, respectively.

KW - Computation methods

KW - Geometric optical design

KW - Illumination design

KW - Non-imaging optics

UR - http://www.scopus.com/inward/record.url?scp=85064523726&partnerID=8YFLogxK

U2 - 10.1016/j.rinp.2019.102193

DO - 10.1016/j.rinp.2019.102193

M3 - Article

AN - SCOPUS:85064523726

SN - 2211-3797

VL - 13

JO - Results in Physics

JF - Results in Physics

M1 - 102193

ER -

A skew freeform reflector design method for prescribed off-axis irradiance

Abstract

Keywords

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this