Programa del congreso

In this work an automatic and multilevel quasi-Helmholtz decomposition is developed under a multitrace method and integrated with the domain decomposition method for the solution of large-scale complex problems that include piecewise homogeneous objects. A realistic numerical example is presented to demonstrate the accuracy and effectiveness of the proposed scheme for the solution of large objects including low-observable materials.

We present an innovative approach to modeling folded triangles using a new set of basis functions known as Origami basis functions. These functions are similar to the commonly used RWG basis functions and share the same constraints. Utilizing these new basis functions can significantly enhance the accuracy of modeling curvilinear surfaces, especially when working with a non-fine mesh or when implementing h-refinement or its adaptive algorithm version. Origami basis functions are particularly valuable in h-refinement problems, where curvature correction is crucial in the mesh refining process.

Metamaterial (MTM) properties have offer new possibilities to designers to obtain planar, thin and integrable structures to reduce Radar Cross Section (RCS), being applicable in low observability platforms. Since the first single frequency design proposed in literature, the design of RCS MTM surfaces has undergone a great progress in the last few years. Broadband configurations, polarization rotation, absorbers and coding techniques have been applied to maximized the RCS in terms of power, bandwidth and reflection angles. This paper presents a review of the evolution of these RCS reduction configurations.

To accurately simulate the radar cross section (RCS) of low-observable (LO) targets, it is essential to properly discretize the geometry and areas where fields have a strong variation. Frequency domain (FD) methods are commonly used, but time-domain methods such as Discontinuous Galerkin (DGTD) and Conformal Finite Difference (CFDTD) offer advantages by being able to perform wideband simulations. This work reviews the state of some of these simulators, currently in production at the national level, in collaboration between the University of Granada and Airbus. We review results obtained using DGTD and CFDTD compared to FD methods for evaluating RCS with complex geometries.

We present a novel boundary integral method for the full-wave simulation of radiation/scattering problems involving piecewise homogeneous objects whose constitutive parameters, assumed instantaneous (lossless), are modulated in time with some arbitrary periodic pattern, e.g. via electrooptic pumping. This frequency-domain (rigorous) approach is based on multiple plane-wave parameterizations of the usual Green’s function-based Stratton-Chu operators that account for the ω(k) dispersion of our pure-time crystals. This set of planewave propagation modes naturally arises when applying the Bloquet-Floquet theorem in the time domain, commensurate with the time-periodic polarization response of the considered active media. We validate our numerical results with the analytical solution of a canonical problem.

We propose a randomized Pseudo Skeleton (or CUR) Approximation method to compress the H-matrices of linear systems that arise in the discretization of integral equations in electromagnetic scattering. This method is highly parellelizable and well suited for fine-granularity architectures as GPUs. As the Adaptive Approximation Method (ACA), the method is purely algebraic. The method is tested with standard cases to assess its quality and efficiency.