{"title":"Solving the EFIE for printed layered structures with ferrite layers","authors":"F. Mesa, F. Medina","doi":"10.1109/CEM.2007.4387653","DOIUrl":"https://doi.org/10.1109/CEM.2007.4387653","url":null,"abstract":"This work presents a mixed-potential integral equation (MPIE) posed in the space domain to deal with printed structures whose layered substrate includes arbitrarily magnetized ferrite materials. Previous to solving the MPIE it is presented a method to numerically generate the appropriate Green's functions starting from their spectral-domain counterparts. The corresponding reaction integrals of the method-of-moments matrix are accurately computed by means of appropriate techniques that deal efficiently with the singular and quasi-singular integrals. The proposed approach gives rises to a method that, although very demanding from a numerical point of view, is able to analyze planar structures with ferrite layers and non-rectangular shape conductors.","PeriodicalId":112792,"journal":{"name":"2007 Computational Electromagnetics Workshop","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123854327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"FEM and SIE modeling of layered uniaxial crystals for compact directive antennas","authors":"S. Yarga, G. Mumcu, K. Sertel, J. Volakis","doi":"10.1109/CEM.2007.4387654","DOIUrl":"https://doi.org/10.1109/CEM.2007.4387654","url":null,"abstract":"We present a 3-D design and realization of degenerate band edge (DBE) periodic assemblies forming anisotropic photonic crystals to achieve highly directive radiation characteristics when operated close to band edge frequencies. For the design, we employ a method of moments implementation of the surface integral equation in presence of uniaxial dielectric materials using closed form dyadic Green's functions. To our knowledge, this is the first time that closed form uniaxial dyadic Green's functions are used in a surface integral equation formulation. The proposed method of moments implementation is then adapted to design DBE crystals using an engineered composition of Barium-titanate and Alumina platelets. This paper points out the computational challenges associated with the DBE antenna design procedure.","PeriodicalId":112792,"journal":{"name":"2007 Computational Electromagnetics Workshop","volume":"64 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116680169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
E. Ubeda, A. Heldring, J. Rius, H. Espinosa, J. Tamayo, J. Parrón
{"title":"Improved MDA compression for accelerated linear system solutions and monopolar basis functions for accurate MFIE formulations","authors":"E. Ubeda, A. Heldring, J. Rius, H. Espinosa, J. Tamayo, J. Parrón","doi":"10.1109/CEM.2007.4387645","DOIUrl":"https://doi.org/10.1109/CEM.2007.4387645","url":null,"abstract":"We present some of the recent advances in computational electromagnetics developed at AntennaLab, UPC. The paper focuses on two research lines: Firstly, an improved version of the multilevel matrix decomposition algorithm (MLMDA) is presented. This new approach lends itself to both traditional iterative and direct solutions of the linear system. Secondly, the monopolar basis functions, a new highly accurate set for the magnetic-field integral equation (MFIE) is presented.","PeriodicalId":112792,"journal":{"name":"2007 Computational Electromagnetics Workshop","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124702916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
C. Christopoulos, P. Sewell, K. Biwojno, J. Wykes, J. Paul, D.W.P. Thomas, A. Ajayi, L. de Menezes
{"title":"Multi-scale problems and complexity in computational electromagnetics","authors":"C. Christopoulos, P. Sewell, K. Biwojno, J. Wykes, J. Paul, D.W.P. Thomas, A. Ajayi, L. de Menezes","doi":"10.1109/CEM.2007.4387649","DOIUrl":"https://doi.org/10.1109/CEM.2007.4387649","url":null,"abstract":"The paper describes recent advances in the treatment of multi-scale problems and complexity in the electromagnetic simulation of complex systems.","PeriodicalId":112792,"journal":{"name":"2007 Computational Electromagnetics Workshop","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122492350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Design, implementation, and optimization of a highly efficient multilevel fast multipole algorithm","authors":"I. van den Bosch, M. Acheroy, J.-P. Marcel","doi":"10.1109/CEM.2007.4387641","DOIUrl":"https://doi.org/10.1109/CEM.2007.4387641","url":null,"abstract":"In this work we present a highly optimized sequential multilevel fast multipole algorithm. Departing from Fortran coding tradition, we have implemented the algorithm in C++, making extended use of the object-oriented features of the language, which leads to a great data locality. Great effort has also been put into optimizing the interpolation routines, which take up a significant fraction of the computation time. Finally, we also show that, by ordering carefully the interpolations and alpha translations, it is possible to reduce the octtree memory to almost half of what is normally needed.","PeriodicalId":112792,"journal":{"name":"2007 Computational Electromagnetics Workshop","volume":"09 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117243746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Electromagnetic modelling of composite structures with surface integral equations of the second kind","authors":"P. Yla-Oijala, M. Taskinen","doi":"10.1109/CEM.2007.4387651","DOIUrl":"https://doi.org/10.1109/CEM.2007.4387651","url":null,"abstract":"Surface integral equations of the second kind are applied for solving electromagnetic scattering by composite perfectly conducting metallic and homogeneous dielectric objects with junctions. The solution accuracy of the integral equations of the second kind, discretized with high-order basis functions, is compared with the solution accuracy of the integral equations of the first kind, discretized with low-order Rao-Wilton-Glisson basis functions. In the case of composite objects with junctions and sharp metallic wedges significantly finer mesh density and higher order basis functions are required to obtain accurate results in the integral equations of the second kind.","PeriodicalId":112792,"journal":{"name":"2007 Computational Electromagnetics Workshop","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121545126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Sequential and parallel preconditioners for large-scale integral-equation problems","authors":"T. Malas, O. Ergul, L. Gurel","doi":"10.1109/CEM.2007.4387648","DOIUrl":"https://doi.org/10.1109/CEM.2007.4387648","url":null,"abstract":"For efficient solutions of integral-equation methods via the multilevel fast multipole algorithm (MLFMA), effective preconditioners are required. In this paper we review appropriate preconditioners that have been used for sparse systems and developed specially in the context if MLFMA. First we review the ILU-type preconditioners that are suitable for sequential implementations. We can make these preconditioners robust and efficient for integral-equation methods by making appropriate selections and by employing pivoting to suppress the instability problem. For parallel implementations, the sparse approximate inverse or the iterative solution of the near-field system enables fast convergence up to certain problem sizes. However, for very large problems, the near-field matrix itself becomes insufficient to approximate the dense system matrix and preconditioners generated from the near-field interactions cannot be effective. Therefore, we propose an approximation strategy to MLFMA to be used as an effective preconditioner. Our numerical experiments reveal that this scheme significantly outperforms other preconditioners. With the combined effort of effective preconditioners and an efficiently parallelized MLFMA, we are able to solve problems with tens of millions of unknowns in a few hours. We report the solution of integral-equation problems that are among the largest in their classes.","PeriodicalId":112792,"journal":{"name":"2007 Computational Electromagnetics Workshop","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128403054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Broadband multilevel fast multipole algorithm for locally refined meshes","authors":"S. Jarvenpaa","doi":"10.1109/CEM.2007.4387642","DOIUrl":"https://doi.org/10.1109/CEM.2007.4387642","url":null,"abstract":"Multilevel fast multipole algorithm (MLFMA) based on the standard Rokhlin translation function cannot handle effectively cases where the element size is very small compared to the wavelength. Broadband MLFMA allows the creation of additional levels with smaller cubes, and so also these cases can be computed. However, if the element size varies a lot across the model and the childless cubes are all on the same level, either the sparse system matrix or the cube structure can require large amounts of memory. This paper presents an algorithm that modifies broadband MFLMA so that the memory requirements stay reasonable in all cases.","PeriodicalId":112792,"journal":{"name":"2007 Computational Electromagnetics Workshop","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133793186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Broadband MLFMA with faster translations and optimal memory demand on the subwavelength levels","authors":"T. Dufva, J. Sarvas","doi":"10.1109/CEM.2007.4387643","DOIUrl":"https://doi.org/10.1109/CEM.2007.4387643","url":null,"abstract":"A broadband multilevel fast multipole algorithm (MLFMA) is presented based on the plane wave expansions for all translations on all division levels. For the out-to-in translation on the superwavelength levels we use the Rokhlin translator, and the exponential translator for the subwavelength levels. On those levels we also use a novel representation method for the far field and incoming wave patterns which enables as efficient saving of these field as with the multipole series technique but, in addition, allows the use of the diagonal translations and the FFT technique, which make all translations fast. The resulting broadband MLFMA has a complete error control up to 9 digits and is more efficient in both computational cost and memory demand than the traditional broadband MLFMA, which makes use of the multipole series on the subwavelength levels.","PeriodicalId":112792,"journal":{"name":"2007 Computational Electromagnetics Workshop","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134608406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fast and accurate solutions of scattering problems involving dielectric objects with moderate and low contrasts","authors":"O. Ergul, L. Gurel","doi":"10.1109/CEM.2007.4387652","DOIUrl":"https://doi.org/10.1109/CEM.2007.4387652","url":null,"abstract":"We consider the solution of electromagnetic scattering problems involving relatively large dielectric objects with moderate and low contrasts. Three-dimensional objects are discretized with Rao-Wilton-Glisson functions and the scattering problems are formulated with surface integral equations. The resulting dense matrix equations are solved iteratively by employing the multilevel fast multipole algorithm. We compare the accuracy and efficiency of the results obtained by employing various integral equations for the formulation of the problem. If the problem size is large, we show that a combined formulation, namely, electric-magnetic current combined-field integral equation, provides faster iterative convergence compared to other formulations, when it is accelerated with an efficient block preconditioner. For low-contrast problems, we introduce various stabilization procedures in order to avoid the numerical breakdown encountered in the conventional surface formulations.","PeriodicalId":112792,"journal":{"name":"2007 Computational Electromagnetics Workshop","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125665073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}