We study the optical response of eccentric nanoshells (i.e., spherical nanoparticles with an eccentric spherical inclusion) in the near and the far field through finite-difference time-domain simulations. Plasmon hybridization theory is used to explain the obtained results. The eccentricity generates a far-field optical spectrum with various plasmon peaks. The number, position, and width of the...

For the spherical model with nearest-neighbour interactions, the microcanonical entropy s(ε,m) is computed analytically in the thermodynamic limit for all accessible values of the energy ε and the magnetization m per spin. The entropy is found to be a concave function, implying that the microcanonical and the canonical ensemble are equivalent, despite the long-range nature of the spherical cons...

Motivated by potential applications in architecture, we study Darboux cyclides. These algebraic surfaces of order ≤ 4 are a superset of Dupin cyclides and quadrics, and they carry up to six real families of circles. Revisiting the classical approach to these surfaces based on the spherical model of 3D Möbius geometry, we provide computational tools for the identificiation of circle families on ...

Surface parameterization establishes bijective maps from a surface onto a topologically equivalent standard domain. It is well known that the spherical parameterization is limited to genus-zero surfaces. In this work, we design a new parameter domain, two-layered sphere, and present a framework for mapping high genus surfaces onto sphere. This setup allows us to transfer the existing applicatio...

Nearly all laser-based particle-sizing devices make no allowance for the shape of the materials under test, regardless of the size of the particles. The reason for this lies with the underlying assumptions used for calculating size distributions from the raw data generated during the analysis. The mathematical models used to calculate distributions are based on spherical systems. So any reporte...

xj(u, v) = yj(u, v), j = 1, 2, 3, so that again (8) holds. Hence, under our hypotheses, D is mapped isothermically on a spherical surface of finite radius, and circles are not mapped on circles. III. Characterization of Those Isothermic Spherical Maps Which Map Circles on Circles and of Isothermic Maps on Minimal Surfaces.-THEOREM 3. If thefunctions (6) have continuous partial derivatives of th...

A lossy metal-wall cavity resonator that extends well beyond perturbation theory limits is studied. An exact analytical solution is employed for the spherical cavity resonator, having walls transformed from being a perfect electrical conductor (PEC) to free space. This model then acts as an ideal benchmark reference standard. A plane-wave approximation is then derived. Independent full-wave num...

PURPOSE To determine the predictability, efficacy, safety, and stability of LASIK using custom ablation with the NIDEK Advanced Vision Excimer Laser System (NAVEX). METHODS One hundred twenty eyes underwent LASIK for myopia using the OPDCAT algorithm. Refractive outcomes and the change in higher order aberrations, coma, and spherical aberrations were analyzed. Postoperative follow-up ranged f...

Fletcher's spherical substrate model [J. Chem. Phys. 29, 572 (1958)] is a basic model for understanding the heterogeneous nucleation phenomena in nature. However, a rigorous thermodynamic formulation of the model has been missing due to the significant complexities involved. This has not only left the classical model deficient but also likely obscured its other important features, which would o...