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pro vyhledávání: '"78a48"'
We consider a Maxwell system on $\mathbb{R}^3$ with periodic and highly oscillating coefficients. It is known that the solutions converge in the weak-$\ast$ topology of $L^\infty(0,T;\,L^2(\mathbb{R}^3))$ to the solution of a similar problem with con
Externí odkaz:
http://arxiv.org/abs/2405.16186
Though extensively studied since the emergence of zincblende cubic A(B,C) semiconductor alloys (zb-SCA) in the sixties, the phonon mode behavior of Ga(As,P) remains a subject of debate to this day. Recently Zollner and co-authors reported on a thorou
Externí odkaz:
http://arxiv.org/abs/2401.04529
Microwave remote sensing is significantly altered when passing through clouds or dense ice. This phenomenon isn't unique to microwaves; for instance, ultrasound is also disrupted when traversing through heterogeneous tissues. Understanding the averag
Externí odkaz:
http://arxiv.org/abs/2308.06843
We study the insulated conductivity problem with closely spaced insulators embedded in a homogeneous matrix where the current-electric field relation is the power law $J = |E|^{p-2}E$. The gradient of solutions may blow up as $\varepsilon$, the dista
Externí odkaz:
http://arxiv.org/abs/2304.08472
In this paper we consider an abstract Cauchy problem for a Maxwell system modelling electromagnetic fields in the presence of an interface between optical media. The electric polarization is in general time-delayed and nonlinear, turning the macrosco
Externí odkaz:
http://arxiv.org/abs/2301.10099
Using a Hilbert space framework inspired by the methods of orthogonal projections and Hodge decompositions, we study a general class of problems (called Z-problems) that arise in effective media theory, especially within the theory of composites, for
Externí odkaz:
http://arxiv.org/abs/2210.05761
In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms responsible for the fundamental features of Anderson localization. The occurrence strong localization in rand
Externí odkaz:
http://arxiv.org/abs/2205.13337
We study the insulated conductivity problem with inclusions embedded in a bounded domain in $\mathbb{R}^n$. The gradient of solutions may blow up as $\varepsilon$, the distance between inclusions, approaches to $0$. It was known that the optimal blow
Externí odkaz:
http://arxiv.org/abs/2110.11313
There is an increasing interest in the study of metamaterials and periodic materials across disciplines. These are anisotropic and their properties present directionality. For example, the wave speed depends on the propagation direction. Furthermore,
Externí odkaz:
http://arxiv.org/abs/2109.09893
Publikováno v:
Phys. Rev. Lett. 127, 037401 (2021)
Through an extensive series of high-precision numerical computations of the optimal complete photonic band gap (PBG) as a function of dielectric contrast $\alpha$ for a variety of crystal and disordered heterostructures, we reveal striking universal
Externí odkaz:
http://arxiv.org/abs/2107.07216