We study a parametrically driven Ginzburg-Landau equation model with nonlinear management. The system is made of laterally coupled long active waveguides placed along a circumference. Stationary solutions of three kinds are found: periodic Ising states and two types of Bloch states, staggered and unstaggered. The stability of these states is investigated analytically and numerically. The nonlin...

Kinematic equations for the motion of slowly propagating, weakly curved fronts in bistable media are derived. The equations generalize earlier derivations where algebraic relations between the normal front velocity and its curvature are assumed. Such relations do not capture the dynamics near nonequilibrium Ising-Bloch (NIB) bifurcations, where transitions between counterpropagating Bloch front...

PURPOSE To develop and evaluate a robust motion-insensitive Bloch-Siegert shift based B1+ mapping method in the heart. METHODS Cardiac Bloch-Siegert B1+ mapping was performed with interleaved positive and negative off-resonance shifts and diastolic spoiled gradient echo imaging in 12 heartbeats. Numerical simulations were performed to study the impact of respiratory motion. The method was com...

Chondrosarcoma are a heterogenous group of primary malignant bone tumours, and are the third most common primary malignant bone tumour (Dorfman and Czerniak, 1995). Intracranial chondrosarcomas however are a rare entity, and account for only 0.15% of all intracranial tumours (Bloch et al., 2009, Bloch and Parsa, 2013, Bloch et al., 2010). The median survival time for patients with intracranial ...

Abstract. It is well known that a particle in a periodic potential with an additional constant force performs Bloch oscillations. Modulating every second period of the potential, the original Bloch band splits into two subbands. The dynamics of quantum particles shows a coherent superposition of Bloch oscillations and Zener tunneling between the subbands, a Bloch-Zener oscillation. Such a syste...

Let φ and ψ be holomorphic maps on such that φ( ) ⊂ . Let Cφ,Mψ and D be the composition, multiplication and differentiation operators, respectively. In this paper, we consider linear operators induced by products of these operators from Bergman-Nevanlinna spaces AβN to Bloch-type spaces. In fact, we prove that these operators map AβN compactly into Bloch-type spaces if and only if they map A β...

The classical problem of homogenization deals with elliptic operators in periodically oscillating media of small period ε > 0 and the asymptotic behavior of solution u of boundary value problems associated with such operators. In a previous work [5], the authors introduced what is called Bloch approximation which provided energy norm approximation for the solution in R . This paper continues wi...

We study the optical transition between bound-to-continuum states in InGaAs/GaAs quantum well infrared photodetector (QWIP) by analyzing two possible boundary conditions for the continuum states. InGaAs/GaAs QWIP differs from the GaAs/AlGaAs QWIP in many aspects. Comparing running wave function and Bloch wave function with experimental results, we find that Bloch wave function is the much more ...

High harmonic generation in semiconductors is analyzed for high mid-infrared laser intensities for which the electron-hole pair is driven beyond the first Brillouin zone and exhibits Bloch oscillations. We find that even a two-band analysis exhibits second and higher plateaus. Whereas the first plateau is shown to be consistent with high harmonic generation through electron-hole recollision, th...