/Pattern Formation in Curved Space for Photonic Chip Design

Pattern Formation in Curved Space for Photonic Chip Design

Leuven | More than two weeks ago

Enabling high-resolution on-chip lens-free microscopy

Holographic light modulation is the means of choice for shaping laser light into well-defined patterns and is the cornerstone of many technologies. Key applications such as optical lattice-based quantum computing [1] and structured illumination microscopy [2] are finding their way on chip – the key enabling technology being Photonic Integrated Circuits (PICs). However, with pattern generation, just like in real estate, location is everything. Typically, optical patterns are constructed from summation of plane waves, but in physical systems away from a particular location the pattern will be disrupted due to diffractive effects. In curved space, normal ideas of geometry and locality break down, creating a chance to explore an unfamiliar landscape governed by new rules.

Recent progress in optical pattern formation by our team has shown that (quasi-)periodic lattices are linked with prime number factorization in algebraic number fields [3]. The thesis project will concern a theoretical study of pattern generation in curved space and its relation to holographic light modulation in Euclidean space. Possible applications in chip-based microscopy, on-chip quantum computing, and holographic optical elements will be explored. By extension, the student will be introduced to PIC chip design and could contribute to the design of next-gen PIC devices.

The ideal student is familiar with basics of differential geometry and has a keen interested in numerical simulations.

[1] Christandl, K., Lafyatis, G. P., Lee, S. C., & Lee, J. F. (2004). One-and two-dimensional optical lattices on a chip for quantum computing. Physical Review A, 70(3), 032302.

[2] Helle, Ø.I., Dullo, F.T., Lahrberg, M. et al. (2020). Structured illumination microscopy using a photonic chip. Nat. Photonics 14, 431–438

[3] Kouznetsov, D., Deng, Q., Van Dorpe, P., & Verellen, N. (2020). Revival and Expansion of the Theory of Coherent Lattices. Physical Review Letters, 125(18).

 

 

Type of project: Thesis

 

Required degree: Master of Science, Master of Engineering Science

Required background: Electrotechnics/Electrical Engineering, Nanoscience & Nanotechnology, Physics

Supervising scientist(s): For further information or for application, please contact: Dmitry Kouznetsov (Dmitry.Kouznetsov@imec.be) and Niels Verellen (Niels.Verellen@imec.be)