Category: Waves and modes

The New Multimode Optics - Understanding and Exploiting Controllable Complexity

Technologies like silicon photonics allow complex optics. Emerging applications in communications, sensing, and classical and quantum information processing demand complex controllable circuits. Recent advances in novel interferometric mesh architectures, new algorithmic approaches to control, including self-configuring and self-stabilizing circuits, and a clarified modal mathematical approach, promise sophisticated and highly functional circuits beyond previous optics. This… Read more The New Multimode Optics - Understanding and Exploiting Controllable Complexity

How to Count Modes and Deduce Limits in Optics

This invited talk at Metamaterials 2021 discusses how we can use the new kind of “modes”, formally given by the singular value decomposition (SVD) of the coupling operator, to describe optical communications and linear optical devices efficiently and precisely. This approach uniquely gives all the orthogonal channels between input and output spaces. It leads to… Read more How to Count Modes and Deduce Limits in Optics

How light could transform computing

February 10, 2021 This video is a podcast in the Stanford University School of Engineering “The Future of Everything” series, hosted by Russ Altman. In this episode David Miller discusses how light has the potential to transform computing.

A new way of making, using and understanding optics

“A new way of making, using and understanding optics,” Annual Meeting of the International Max Planck Research School – Physics of Light on Oct. 21, 2020, Erlangen, Germany (virtual conference).

Finding the right modes for communicating with optics

“Finding the right modes for communicating with optics,” OSA Frontiers in Optics, 14 – 17 September, 2020 (online meeting), Paper FM1D.1.

Automatically measuring and generating arbitrary optical fields

D. A. B. Miller, “Analyzing and generating multimode optical fields using self-configuring networks,” Optica 7, 794-801 (2020) https://doi.org/10.1364/OPTICA.391592 Supplementary material at this link and at https://doi.org/10.6084/m9.figshare.12476123

How many channels for communicating with waves?

D. A. B. Miller, “Waves, modes, communications, and optics: a tutorial,” Adv. Opt. Photon. 11, 679-825 (2019) https://doi.org/10.1364/AOP.11.000679

Functional analysis math explained!

D. A. B. Miller, “An introduction to functional analysis for science and engineering” arXiv:1904.02539 The topic known as functional analysis is one that is sometimes taught to mathematics students, but typically falls just outside the math that scientists and engineers learn. Possibly as a result, the texts in this field, though they can be quite… Read more Functional analysis math explained!