Abstract
| Language | English |
|---|---|
| Article number | 034001 |
| Number of pages | 16 |
| Journal | JPhys Photonics |
| Volume | 1 |
| DOIs | |
| State | Published - 2019 |
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Keywords
- least-squares method, Monge-Amp\`{e}re equation, inverse problem, transport boundary conditions, optical design, freeform optics, ray tracing
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A least-squares method for the design of two-reflector optical systems. / Yadav, Nitin; Romijn, Lotte; ten Thije Boonkkamp, Jan (Corresponding author); IJzerman, Wilbert.
In: JPhys Photonics, Vol. 1, 034001, 2019.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - A least-squares method for the design of two-reflector optical systems
AU - Yadav,Nitin
AU - Romijn,Lotte
AU - ten Thije Boonkkamp,Jan
AU - IJzerman,Wilbert
PY - 2019
Y1 - 2019
N2 - The purpose of this paper is to present a method for the design of two-reflector optical systems that transfer a given energy density of the source to a desired energy density at the target. It is known that the two-reflector design problem gives rise to a Monge-Amp`\{e}re equation with transport boundary condition. We solve this boundary value problem using a recently developed least-squares algorithm [1]. It is one of the few numerical algorithms capable to solve these type of problems efficiently. The least-squares algorithm can provide two solutions of the Monge-Amp`\{e}re problem, one is concave and the other one is convex. The reflectors are validated for several numerical examples by a ray-tracer based on Monte-Carlo simulation.
AB - The purpose of this paper is to present a method for the design of two-reflector optical systems that transfer a given energy density of the source to a desired energy density at the target. It is known that the two-reflector design problem gives rise to a Monge-Amp`\{e}re equation with transport boundary condition. We solve this boundary value problem using a recently developed least-squares algorithm [1]. It is one of the few numerical algorithms capable to solve these type of problems efficiently. The least-squares algorithm can provide two solutions of the Monge-Amp`\{e}re problem, one is concave and the other one is convex. The reflectors are validated for several numerical examples by a ray-tracer based on Monte-Carlo simulation.
KW - least-squares method, Monge-Amp\`{e}re equation, inverse problem, transport boundary conditions, optical design, freeform optics, ray tracing
U2 - 10.1088/2515-7647/ab2db3
DO - 10.1088/2515-7647/ab2db3
M3 - Article
VL - 1
JO - JPhys Photonics
T2 - JPhys Photonics
JF - JPhys Photonics
SN - 2515-7647
M1 - 034001
ER -