The scattering of electromagnetic waves by isotropic dielectric cylinders can be dramatically modified by means of vanadium dioxide (VO2) thin-film coatings. Efficient dynamic control of scattering ...is achieved due to the variations in material parameters realizable by means of external biasing. In this paper, we study the scattering of terahertz waves in a case where the coating shells are made of VO2, a phase-change material, whose thin films may work rather as electromagnetic phase screens in the insulator material phase, but as lossy quasi-metallic components in the metallic material phase. The shells that uniformly cover the dielectric cylinders are investigated. Attention will be paid to the demonstration of the potential of VO2 in the external control of diverse scattering regimes of the dielectric-VO2 core-shell scatterer, while conductivity of VO2 corresponds to rather insignificant variations in temperature. In line with the purposes of this work, it is shown that the different resonant and nonresonant regimes have different sensitivity to the variations in VO2 conductivity. Both the total scattering cross section and field distributions inside and around the core are studied, as well as the angle-dependent scattering cross section.
Purpose
Extraprostatic extension (EPE) is an unfavorable prognostic factor and the grade of EPE is also shown to be correlated with the prognosis of prostate cancer. The current study assessed the ...value of prostate magnetic resonance imaging (MRI) in measuring the radial distance (RD) of EPE and the role of T2 WI signs in predicting the grade of EPE.
Materials and methods
A total of 110 patients who underwent prostate MRI before radical prostatectomy are enrolled in this retrospective study. Eighty-four patients have organ confined disease and the remaining twenty-six patients have EPE all verified by histopathology. Prostate MRI examinations were conducted with 3T MRI scanner and phased array coil with the following sequences: T2 WI, T1 WI, DCE, DWI with ADC mapping, and high
b
-value at
b
= 1500 s/mm
2
. The likelihood of EPE with 5-point Likert scale was assigned, several MRI features were extracted for each dominant tumor identified by using T2 WI. Tumors with Likert scales 4–5 were evaluated further to obtain MRI-based RD. The relationship between pathological and MRI-determined RD was tested. Univariate and multivariate logistic regression models were developed to detect the grade of pathological EPE. The inputs were among the 2 clinical parameters and 4 MRI features.
Results
There is a moderate correlation between pathological RD and MRI-determined RD (
ρ
= 0.45,
P
< 0.01). In univariate and multivariate models, MRI features and clinical parameters possess varying significance levels (univariate models;
P
= 0.048–0.788, multivariate models;
P
= 0.173–0.769). Multivariate models perform better than the univariate models by offering fair to good performances (AUC = 0.69–0.85). The multivariate model that employs the MRI features offers better performance than the model employs clinical parameters (AUC = 0.81 versus 0.69).
Conclusion
Co-existence of T2 WI signs provide higher diagnostic value even than clinical parameters in predicting the grade of EPE. Combined use of clinical parameters and MRI features deliver slightly superior performance than MRI features alone.
Unidirectional transmission is studied theoretically and experimentally for the gratings with one-side corrugations (non-symmetric gratings), which are based on two-dimensional photonic crystals ...composed of alumina rods. The unidirectional transmission appears at a fixed angle of incidence as a combined effect of the peculiar dispersion features of the photonic crystal and the properly designed corrugations. It is shown that the basic unidirectional transmission characteristics, which are observed at a plane-wave illumination, are preserved at Gaussian-beam and horn antenna illuminations. The main attention is paid to the single-beam unidirectional regime, which is associated with the strong directional selectivity arising due to the first negative diffraction order. An additional degree of freedom for controlling the transmission of the electromagnetic waves is obtained by making use of the asymmetric corrugations at the photonic crystal interface.
► One-dimensional and polarization independent circular fishnet metamaterials. ► Equivalent slab-pair modeling for tuning resonance frequencies are introduced. ► The electric polarization overcomes ...the electric flux density term. ► The measured phase spectra are compatible with the calculated phase spectra. ► A detailed phase analysis is performed as a phase compensator.
Planar metamaterials, which have incident to normal plane excitation unlike SRR-type structures and that are easily fabricated in multilayer form, have received great interest in recent years. In this paper, one-dimensional and polarization independent circular fishnet metamaterials and their equivalent discontinuous slab-pair modeling for tuning resonance frequencies are introduced. After the numerical and experimental demonstration of the inclusions, the standard retrieval characterization methods and the correspondent/related backward-wave propagation observation are realized in order to check the physical explanation mentioned in the paper. In addition, a detailed phase analysis is performed in order to demonstrate the application of the suggested structure as a phase compensator.
A pair of mutually twisted metallic cross-wires can produce giant optical activity. When this single chiral layer is stacked layer by layer in order to build a thick chiral metamaterial, strong ...coupling effects are found between the two adjacent chiral layers. We studied these coupling effects numerically and experimentally. The results show that the existing coupling between chiral layers can make the chiral properties of a two-layered chiral metamaterial different from the constituting single chiral layers. It is explained qualitatively that the coupling effects are generated from the coupling of metallic cross-wires belonging to different chiral layers. Our experimental results are in good agreement with the simulation results.
En este trabajo proporcionamos doce formas normales para todos los campos vectoriales polinomiales Hamiltonianos en el plano que tienen términos lineales más cúbicos homogéneos y que poseen en el ...origen un centro de tipo lineal o un centro nilpotente. Para estos sistemas caracterizamos sus retratos de fase globales en el disco de Poincaré y describimos sus diagramas de bifurcación. Las formas normales de estos sistemas las obtenemos utilizando las formas normales de los sistemas cúbicos homogéneos dados en 1, y añadiendo a estos los términos lineales de manera que el origen sea un centro de tipo lineal o un centro nilpotente. Luego describimos los retratos de fase globales en el disco de Poincaré de estas doce familias de sistemas. Para ello en primer lugar encontramos los retratos de fase en el infinito de esos sistemas, y luego encontramos los retratos de fase locales en los puntos singulares finitos. Usando estos dos resultados determinamos los posibles retratos de fase globales de cada familia. Para algunas familias los puntos singulares finitos son demasiado complicados para estudiar sus retratos de fase local, y en algunos otros casos ni siquiera podemos calcular los puntos singulares finitos. En estas situaciones primero determinamos el número máximo de puntos singulares finitos que los sistemas pueden tener, a continuación utilizando el hecho de que el índice total de todos los puntos singulares de un campo vectorial en la esfera de Poincaré con un número finito de puntos singulares es 2 (este resultado se conoce como el teorema de Poincaré–Hopf) determinamos el número posible de puntos singulares finitos y sus posibles retratos fase locales posibles. Para determinar los posibles retratos de fase globales posibles miramos el número de puntos de una recta que pasa por el origen que se encuentran en el mismo nivel de energía. Puesto que los polinomios Hamiltonianos de las doce familias de sistemas son de cuarto grado, no puede haber más que cuatro de tales puntos. Si encontramos que sólo un retrato de fase global es posible para una familia, entonces este es el retrato de fase de la familia. Si hay más de un retrato de fase global posible, entonces mostramos que podemos elegir los parámetros de forma que los retratos de fase se realicen. Por último, después de haber determinado los retratos de fase global para cada familia, describimos sus diagramas de bifurcación utilizando las dos diferencias principales entre estos retratos de fase: el número de puntos singulares finitos y el número de sillas en el mismo nivel de energía. 1 A. Cima and J. Llibre, “Algebraic and topological classification of the homogeneous cubic vector fields in the plane”, J. Math. Anal. and Appl. 147 (1990), 420–448.
In this work we provide twelve normal forms for all the Hamiltonian planar polynomial vector fields having linear plus cubic homogeneous terms which possess a linear type center or a nilpotent center at the origin, and find their global phase portraits on the Poincaré disk. Moreover we provide the bifurcation diagrams of these differential systems. We obtain the normal forms of these systems using the normal forms of cubic homogeneous systems given in 1, and by adding to them the linear terms such that the origin is a linear type center or a nilpotent center. Then we describe the global phase portraits on the Poincaré disk of these twelve families of systems. To do this we first find the phase portraits at infinity of those systems, and then we find the local phase portraits at the finite singular points. Using these two results we determine the possible global phase portraits of each family. For some families the finite singular points are too complicated to study their local phase portraits, in some other cases we even cannot calculate the finite singular points. In these situations we first determine the maximum number of finite singular points that the systems can have, then using the fact that the total index of all the singular points of a vector field on the Poincaré sphere with a finite number of singular points is 2 (this result is known as the Poincaré–Hopf theorem) we determine the possible number of finite singular points and their possible local phase portraits. To determine the possible global phase portraits we look at the number of points of a straight line passing through the origin that are at the same energy level. Since the Hamiltonian polynomials of the twelve families of systems are quartic, there can be at most four such points. If we find only one possible global phase portrait for a family then we are done. If there are more than one possible global phase portrait then we show that for some specific choice of parameters those phase portraits are indeed realizable. Finally, after having determined the global phase portraits for each fam- ily, we describe their bifurcation diagrams using the two main differences between these phase portraits: the number of finite singular points and the number of saddles at the same energy level. 1 A. Cima and J. Llibre, “Algebraic and topological classification of the homogeneous cubic vector fields in the plane”, J. Math. Anal. and Appl. 147 (1990), 420–448.
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