Optimal transport (OT) theory can be informally described using the words of the French
mathematician Gaspard Monge (1746–1818): A worker with a shovel in hand has to move a …

Numerous optical and electromagnetic applications require synthesis of reflecting and
refracting surfaces capable of reshaping the energy radiation intensity of a given source into …

A popular way to solve optimal transport problems numerically is to assume that the source
probability measure is absolutely continuous while the target measure is finitely supported …

A feedback modification method based on variable separation mapping is proposed in the
design of free-form optical system with uniform illuminance for LED source. In this method …

For the problem of point source forming prescribed irradiance, a new, to the best of our
knowledge, method-variable separation mapping method is presented, which establishes …

摘要以GaN 基功率型发光二极管(LED) 为代表的半导体照明光源, 具有其他传统光源无法比拟
的诸多优点, 被公认为21 世纪最有价值的新型光源. 充分发挥功率型LED 的优势 …

We consider the problem of designing a reflector that transforms a spherical wave front with
a given intensity into an output front illuminating a prespecified region of the far-sphere with …

This chapter describes techniques for the numerical resolution of optimal transport
problems. We will consider several discretizations of these problems, and we will put a …

The reflector antenna design problem requires to solve a second boundary value problem
for a complicated Monge-Ampére equation, for which the traditional discretization methods …

This work studies an explicit embedding of the set of probability measures into a Hilbert
space, defined using optimal transport maps from a reference probability density. This …