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Existing numerical methods for modeling magnetization in thin type-II superconducting films have mostly been developed for flat films. This work introduces an efficient spectral method for axisymmetric magnetization problems involving…

Superconductivity · Physics 2026-04-10 Leonid Prigozhin , Vladimir Sokolovsky

The Multi-Layer Thin Films Problem is a materials science problem that aims to enhance the reflectance of a metallic substrate by designing multi-layer coatings composed of different dielectric materials and thicknesses. While previous…

Optimization and Control · Mathematics 2026-01-22 Deniz Tuncer , Burak Kocuk

Materials science has been intensively developed during the last 30 years. This is due, on the one hand, to an increasing demand of new materials for new applications and, on the other hand, to technological progress which allows for the…

Statistical Mechanics · Physics 2016-04-25 H. T. Diep

The rigorous solution to the grating diffraction problem is a cornerstone step in many scientific fields and industrial applications ranging from the study of the fundamental properties of metasurfaces to the simulation of photolithography…

Computational Physics · Physics 2025-02-05 Evgeniy Levdik , Alexey A. Shcherbakov

2D ferromagnets offer valuable insights into the fundamentals of magnetism and stimulate the progress of ultracompact spintronics. The demand for seamless integration of the materials with the Si technology, particularly helpful to their…

Magnetic flux (vortex) trapping remains a major obstacle to very large scale integration in superconducting electronics. Moats -- etched regions in circuit layers placed in ground planes and around critical circuitry -- offer a simple…

High temperature superconducting (HTS) bulks or stacks of coated conductors (CCs) can be magnetized to become trapped field magnets (TFMs). The magnetic fields of such TFMs can break the limitation of conventional magnets (<2 T), so they…

Superconductivity · Physics 2016-12-21 Shengnan Zou , Victor M. R. Zermeno , A. Baskys , A. Patel , Francesco Grilli , B. A. Glowacki

Superconducting accelerator magnets require sophisticated monitoring and means of protection due to the large energy stored in the magnetic field. Numerical simulations play a crucial role in understanding transient phenomena occurring…

We propose and analyze a nanoengineered vortex array in a thin-film type-II superconductor as a magnetic lattice for ultracold atoms. This proposal addresses several of the key questions in the development of atomic quantum simulators. By…

Quantum Gases · Physics 2013-10-08 O. Romero-Isart , C. Navau , A. Sanchez , P. Zoller , J. I. Cirac

The finite element method is one of the widely employed numerical techniques in electrical engineering for the study of electric and magnetic fields. When applied to the moving conductor problems, the finite element method is known to have…

Numerical Analysis · Mathematics 2022-09-01 Sethupathy Subramanian , Sujata Bhowmick

Application of an external AC magnetic field parallel to superconducting tapes helps in eliminating the magnetization caused by the shielding current induced in the flat faces of the tapes. This method helps in realizing a magnet system…

Superconductivity · Physics 2015-05-28 Kazuhiro Kajikawa , Kazuo Funaki

Pinning magnetization in a ferromagnetic thin film is commonly realized through exchange biasing with an adjacent antiferromagnet. Field-cooling from above the N\'{e}el temperature is a reliable yet slow re-pinning method in exchange-biased…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Floris J. F. van Riel , Andries B. M. Droste , Bert Koopmans , Diana C. Leitao

By using the full 3D generalized time dependent Ginzbug-Landau equation we study a long superconducting film of finite width and thickness under an applied transport current. We show that, for sufficiently large thickness, the vortices and…

The possibility of generation of stable self-focusing beams in in-plane magnetized thin magnetic films is considered and theoretical conditions for the existence of such localized solutions are discussed. It is shown that for the definite…

Other Condensed Matter · Physics 2009-11-10 Ramaz Khomeriki

The magnetic easy axis orientation was studied by the third order perturbed Heisenberg Hamiltonian. Ferromagnetic CoPt/AlN multilayer thin films with number of layers N=11, 16 and 21 synthesized on fused quartz substrates using dc magnetron…

Materials Science · Physics 2016-07-14 P. Samarasekara , Prabhani Rajakaruna

An analytic solution to a stationary heat conduction problem in 2D unbounded doubly periodic composite materials with temperature dependent conductivities of their components is given. Corresponding nonlinear boundary value problem is…

Analysis of PDEs · Mathematics 2014-04-01 David Kapanadze , Gennady Mishuris , Ekaterina Pesetskaya

A new approach to the treatment of magnetic fluctuations in thin films of type I superconductors is introduced. Results for the dependence of free energy, specific heat and order parameter profile on the film thickness near the equilibrium…

Superconductivity · Physics 2009-11-10 D. V. Shopova , T. P. Todorov

The magnetization of Pd(100) ultrathin films that show ferromagnetism due to quantum well states was manipulated by changing the quantum well state with an applied bias voltage. The voltage dependence of the magnetic moment of…

Materials Science · Physics 2019-02-11 Hidetake Tanabe , Shunsuke Sakuragi , Tetsuya Sato

This paper is devoted to the efficient numerical solution of the Helmholtz equation in a two- or three-dimensional rectangular domain with an absorbing boundary condition (ABC). The Helmholtz problem is discretized by standard bilinear and…

Numerical Analysis · Computer Science 2019-10-24 Jari Toivanen , Monika Wolfmayr

We present a simple yet powerful framework for solving inverse problems by leveraging automatic differentiation. Our method is broadly applicable whenever a smooth cost function can be defined near the true solution, and a numerical…

Disordered Systems and Neural Networks · Physics 2025-06-17 Koji Kobayashi , Tomi Ohtsuki