7 papers
The WaveHoltz Heterogeneous Multiscale Method
Amit Rotem, Olof Runborg, Daniel Appelö
We consider the numerical solution of the wave equation in materials with rapidly varying coefficients, and time harmonic sources. For these problems, direct discretization is proh…
Efficient Domain Decomposition for the Helmholtz Equation on GPUs
Amit Rotem
The Helmholtz equation governs wave propagation in acoustics, electromagnetics, and seismology, but its indefinite nature makes it difficult to solve with iterative methods. Domain…
High-Fidelity Integrated Quantum Photonic Logic Via Robust Directional Couplers
Jonatan Piasetzky, Khen Cohen, Yehonatan Drori +4
Scalable quantum information processing with integrated photonics requires quantum logic operations with high fidelity and robustness. Directional couplers, the fundamental element…
High fidelity CNOT gates in photonic integrated circuits using composite segmented directional couplers
Jonatan Piasetzky, Amit Rotem, Yuval Warshavsky +4
Integrated photonic circuits are a promising platform for scalable quantum information processing, but their performance is often constrained by component sensitivity to fabricatio…
Convergence of the Semi-Discrete WaveHoltz Iteration
Amit Rotem, Olof Runborg, Daniel Appelo
In this paper we prove that for stable semi-discretizations of the wave equation for the WaveHoltz iteration is guaranteed to converge to an approximate solution of the correspondi…
Accurate Modeling of Directional Couplers with Oxide Cladding: Bridging Simulation and Experiment
Yuval Warshavsky, Yehonathan Drori, Jonatan Piasetzky +4
Directional couplers are a fundamental building block in integrated photonics, particularly in quantum applications and optimization-based design where precision is critical. Accur…