Position
PhD-student
Irène Curie Fellowship
No
Department(s)
Mathematics and Computer Science
FTE
1,0
Date off
14/04/2024
Reference number
V32.7311
Job descriptionDoes it fascinate you how mathematics can shed new light upon the world, quite literally?!! In this project, we aim to develop numerical tools to design optical surfaces that transform a source of light into a desired target. To tackle the nonlinear differential equations involved, robust discretization and linearization methods will be derived.
We will take a deep dive into how to design optical elements, such as reflectors, that can transform a given source of light into a desired target distribution. Take the examples of a parallel beam of light (source) being focused onto a single point (target) through the action of a parabolic mirror, or rays from a car headlight (source) being distributed by its optical surfaces to produce a predetermined pattern (target). Figure 1 shows an example of a general case. The equations that describe the optical elements in this scenario are equations of the Monge-Ampère type. They are fundamental due to their connection to optimal transport. However, they are notorious for the difficulties in solving them. The challenges stem from nonlinearities and boundary conditions involved, which thwart the development of efficient numerical tools that yield the optical solutions.
Aim: The goal of this project is to establish a rigorous framework which will allow us to
Positioning: The project lies in the confluence of rigorous mathematics, and scientific computing. Moreover, it has deep ties with physics and technology with a promise to improve how optical elements are designed in industry, and how optimal transport problems are solved in general.
By joining the project you become a part of the bigger ensemble of the Computational Illumination Optics group of Eindhoven University of Technology. You will also partake in a consortia interfacing between industry leaders such as ASML, Signify, Canon, TNO, along with many others.
The detailed project description and planning can be found here.
Job requirementsA meaningful job in a dynamic and ambitious university, in an interdisciplinary setting and within an international network. You will work on a beautiful, green campus within walking distance of the central train station. In addition, we offer you:
About us
Eindhoven University of Technology is an internationally top-ranking university in the Netherlands that combines scientific curiosity with a hands- on attitude. Our spirit of collaboration translates into an open culture and a top-five position in collaborating with advanced industries. Fundamental knowledge enables us to design solutions for the highly complex problems of today and tomorrow.
Curious to hear more about what it's like as a PhD candidate at TU/e? Please view the video.
Information
Do you recognize yourself in this profile and would you like to know more? Please contact the hiring manager Koondanibha Mitra, Assistant Professor, [email protected].
Visit our website for more information about the application process or the conditions of employment. You can also contact [email protected].
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Application
We invite you to submit a complete application by using the apply button. The application should include a:
Full consideration will be given to candidates who apply till 15 th April 2024. They would hear back from us by 1st May. However, the application will remain open until the position is filled.