Tootfinder

This https://arxiv.org/abs/2505.22853 has been replaced.
initial toot: https://mastoxiv.page/@ar…

A unified quaternion-complex framework for incompressible Navier-Stokes equations: new insights and implications
We present a novel, unified quaternion-complex framework for formulating the incompressible Navier-Stokes equations that reveals the geometric structure underlying viscous fluid motion and resolves the Clay Institute's Millennium Prize problem. By introducing complex coordinates $z = x + iy$ and expressing the velocity field as $F = u + iv$, we demonstrate that the nonlinear convection terms decompose as $(u \cdot \nabla)F = F \cdot \frac{\partial F}{\partial z} + F^* \cdot \frac{\partial F}{\p…

This https://arxiv.org/abs/2506.05228 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Spherical Phase Metalenses: Intrinsic Suppression of Spherical Aberration via Equiphase Surface Modulation
Recent progress in large-scale metasurfaces requires phase profiles beyond traditional hyperbolic designs. We show hyperbolic phase distributions cause spherical aberration from mismatched light propagation geometry and unrealistic phase assumptions. By analyzing metalens fundamentals via isophase surfaces, we develop a spherical phase profile based on spherical wavefront theory. This method prevents spherical aberration, essential for wide-aperture metalenses. Simulations prove superior focusi…

This https://arxiv.org/abs/2504.14465 has been replaced.
initial toot: https://mastoxiv.page/@ar…

The Onset of Metastable Turbulence in Pipe Flow
The onset of turbulence in pipe flow has been a fundamental challenge in physics, applied mathematics, and engineering for over 140 years. To date, the precursor of this laminar-turbulent transition is recognized as transient turbulent spots or puffs, but their defining characteristics - longevity, abrupt relaminarization, and super-exponential lifetime scaling - have been lack of first-principles explanations. By combining extensive computer simulations, theory, and verifications with experime…

This https://arxiv.org/abs/2506.03482 has been replaced.
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Atomic and Molecular Waveform Processing with Attosecond Resolution
Advancing the temporal resolution in computations, signal generation and modulation, and measurements is of paramount importance for pushing the boundaries of science and technology. Optical resonators have recently demonstrated the ability to perform computational operations at frequencies beyond the gigahertz range, surpassing the speed of conventional electronic devices. However, increasing the resonator length extends the operation time but decreases the temporal resolution, with current st…

This https://arxiv.org/abs/2504.10200 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Stability analysis of discrete Boltzmann simulation for supersonic flows: Influencing factors, coupling mechanisms and optimization strategies
Supersonic flow simulations face challenges in trans-scale modeling, numerical stability, and complex field analysis due to inherent nonlinear, nonequilibrium, and multiscale characteristics. The discrete Boltzmann method (DBM) provides a multiscale kinetic modeling framework and analysis tool to capture complex discrete/nonequilibrium effects. While the numerical scheme plays a fundamental role in DBM simulations, a comprehensive stability analysis remains lacking. Similar to LBM, complexity m…

This https://arxiv.org/abs/2505.09494 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Ultraviolet interband plasmonics down to the vacuum UV with ultrathin amorphous silicon nanostructures
Silicon dominates electronics, optoelectronics, photovoltaics and photonics thanks to its suitable properties, abundance, and well-developed cost-effective manufacturing processes. Recently, crystalline silicon has been demonstrated to be an appealing alternative plasmonic material, both for the infrared where free-carrier plasmons are enabled by heavy doping, and for the ultraviolet where plasmonic effects are induced by interband transitions. Herein, we demonstrate that nanostructured amorpho…

This https://arxiv.org/abs/2501.03542 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Turbulence modeling over riblets via domain transformation
Numerical and experimental studies have demonstrated the drag-reducing potential of carefully designed streamwise-elongated riblets in lowering skin-friction drag. To support the systematic design of such surface corrugations, recent efforts have integrated simplified versions of the governing equations with innovative methods for representing the effects of rough boundaries on flow dynamics. Notably, the statistical response of the eddy-viscosity-enhanced linearized Navier-Stokes equations has…

This https://arxiv.org/abs/2503.21301 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Low-loss silicon nitride Kerr-microresonators fabricated with metallic etch masks via metal lift-off
Stoichiometric silicon nitride has emerged as a widely used integrated photonic material owing to its high index of refraction, nonlinear optical properties, and broad transparency window spanning visible to mid-IR frequencies. However, silicon nitride is generally more resistant to reactive ion etching than are typical etch masks made of polymer-based resist. This necessitates resist layers that are significantly thicker than the silicon nitride and results in mask patterns which are tall and …

This https://arxiv.org/abs/2407.05345 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Review of Non-Equilibrium Thermodynamics And Statistical Mechanics of Vortex Gases in Tornado Theory
This work puts into mathematical, statistical mechanical, and thermodynamical context the initial stages of the genesis of tornado-like vortices with the aim to be consistent with the current state of knowledge of the process of tornadogenesis. In particular, it discusses a mathematical foundation of the formation of coherent structures such as ``cusps'' and ``hairpins'' using variants of the nonlinear Schrödinger equation that arise via the Hasimoto transform of a vortex filament model. The b…

This https://arxiv.org/abs/2503.09009 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Highly Uniform Thermally Undercut Silicon Photonic Devices in a 300 mm CMOS Foundry Process
Silicon photonic devices fundamental to high-density wavelength-division multiplexed (DWDM) optical links and photonic switching networks, such as resonant modulators and Mach-Zehnder interferometers (MZIs), are highly sensitive to fabrication variations and operational temperature swings. However, thermal tuning to compensate for fabrication and operational temperature variations can result in prohibitive power consumption, challenging the scalability of energy-efficient photonic integrated ci…