Concept
Darboux integral
Related publications (13)
ALMOST EVERYWHERE NONUNIQUENESS OF INTEGRAL CURVES FOR DIVERGENCE-FREE SOBOLEV VECTOR FIELDS
We construct divergence-free Sobolev vector fields in C([0,1];W-1,W-r(T-d;Rd)) with r < d and d\geq 2 which simultaneously admit any finite number of distinct positive solutions to the continuity equation. These vector fields are then shown to have at leas ...
Philadelphia2023Programmable frequency-bin quantum states in a nano-engineered silicon device
Frequency-bin qubits get the best of time-bin and dual-rail encodings, but require external modulators and pulse shapers to build arbitrary states. Here, instead, the authors work directly on-chip by controlling the interference of biphoton amplitudes gene ...
NATURE PORTFOLIO2023The 2021 Magnonics Roadmap
Dirk Grundler, Thomas Yu, Heena Yang, Joyeeta Sinha
Magnonics is a budding research field in nanomagnetism and nanoscience that addresses the use of spin waves (magnons) to transmit, store, and process information. The rapid advancements of this field during last one decade in terms of upsurge in research p ...
2021Three-dimensional fabrication of sub-micron optical waveguides in PDMS and other polymer materials
Optical waveguides are one of the most important photonic components. They are indispensable tools in many of todayâs technologies because of their capacity of guiding light. In particular, compact, low loss, flexible polymer optical waveguides are cruci ...
EPFL2021Photoinitiator-free multi-photon fabrication of compact optical waveguides in polydimethylsiloxane
Demetri Psaltis, Christophe Moser, Giulia Panusa, Ye Pu, Jieping Wang
Compact, low loss flexible optical waveguides are crucial in optofluidic and microfluidic devices for a dense integration of optical functionalities. We demonstrate the fabrication of compact optical waveguides in polydimethylsiloxane through multiphoton l ...
OPTICAL SOC AMER2019