Validating the Characteristic Modes Solvers

Čapek, Miloslav; Losenicky, Vit; Jelínek, Lukáš; Gustafsson, Mats

doi:10.1109/tap.2017.2708094

Cited by 53 publications

(61 citation statements)

References 53 publications

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“…We notice that this expression agrees with the analytical solutions for PEC structures . The real part of c n is proportional to the extinction (radiated plus dissipated) power .…”

Section: Characteristic Modessupporting

confidence: 84%

“…We notice that this expression agrees with the analytical solutions for PEC structures. 34 The real part of c n is proportional to the extinction (radiated plus dissipated) power. 35 By linking x n to the reactive power, 33 eigenvalues given by Equation (32) can be interpreted as the ratio of reactive and extinction power, similarly as in Equation (11).…”

Section: Analytical Solutions For a Spherementioning

confidence: 99%

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Theory of characteristic modes for lossy structures: Formulation and interpretation of eigenvalues

Ylä‐Oijala

Wallén

Järvenpää

2019

Int J Numerical Modelling

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Volume integral equation (VIE) and surface integral equation (SIE) based characteristic mode (CM) formulations are investigated in the case of lossy objects. Imperfectly conducting metallic structures modelled with an impedance boundary condition and lossy dielectric bodies are considered. Two types of CM formulations are studied. In the first one, the generalized eigenvalue equation is expressed in terms of the Hermitian parts of the integral operators. In the second one, the weighting operator of the eigenvalue equation is defined so that the eigenvectors form a weighted orthogonal set, weighted with respect to radiated power. The first approach gives real eigensolutions and is found to lead to clustering of the eigenvalues as losses are increased. From these solutions it is difficult to separate contributions of radiated, reactive, and dissipated power. This separation appears naturally in the second approach that gives complex eigensolutions. As applications including lossy materials, CM analyses of a graphene sheet and a plasmonic nanoparticle are presented.

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“…We notice that this expression agrees with the analytical solutions for PEC structures . The real part of c n is proportional to the extinction (radiated plus dissipated) power .…”

Section: Characteristic Modessupporting

confidence: 84%

Section: Analytical Solutions For a Spherementioning

confidence: 99%

Theory of characteristic modes for lossy structures: Formulation and interpretation of eigenvalues

Ylä‐Oijala

Wallén

Järvenpää

2019

Int J Numerical Modelling

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“…, λ N ]. Notice that, theoretically, [I] is a square matrix (M = N ), however, in practice, the number of modes is typically limited to N M due to numerical constraints [7].…”

Section: A Characteristic Modesmentioning

confidence: 99%

“…A common way of dealing with modal tracking is to employ correlation between modes [2], [3], [4], [5], [6]. Despite the success of correlation-based tracking [7], there are, however, scenarios in which this technique fails to provide reliable results. One specific example where correlationbased tracking becomes difficult in the vicinity of accidental degeneracies or crossing avoidances [8], [9].…”

Section: Introductionmentioning

confidence: 99%

Modal Tracking Based on Group Theory

Mášek

Čapek

Jelínek

et al. 2020

IEEE Trans. Antennas Propagat.

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Issues in modal tracking in the presence of crossings and crossing avoidances between eigenvalue traces are solved via the theory of point groups. The von Neumann-Wigner theorem is used as a key factor in predictively determining mode behavior over arbitrary frequency ranges. The implementation and capabilities of the proposed procedure are demonstrated using characteristic mode decomposition as a motivating example. The procedure is, nevertheless, general and can be applied to an arbitrarily parametrized eigenvalue problems. A treatment of modal degeneracies is included and several examples are presented to illustrate modal tracking improvements and the immediate consequences of improper modal tracking. An approach leveraging a symmetry-adapted basis to accelerate computation is also discussed. A relationship between geometrical and physical symmetries is demonstrated on a practical example.

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“…As a last token of the momentum TCM is gaining lately, it is worth mentioning that FEKO, CST or WIPL-D, well-known electromagnetic simulation suites, have included CM computation modules in their solvers. As a matter of fact, in [27] the performance of commercial simulators and academic packages have been thoroughly investigated.…”

Section: Fig 11 Ieeexplore Characteristic Modes Search Number Of Pmentioning

confidence: 99%

Contribution to the physical interpretation of characteristic mode resonances. Application to dielectric resonator antennas

Jimenez¹

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A mis padres y hermanas AcknowledgementsHabiendo dejado los agradecimientos para lo último me resulta imposible empezar. . . Este viaje no ha sido fácil, han sido muchas las adversidades tanto profesionales como a nivel personal con las que he tenido que lidiar. El llevar a cabo este trabajo no sólo me ha preparado para desarrollarme profesionalmente, sino algo que considero todavía más importante, mi crecimiento personal. Un crecimiento que me ha permitido conocerme mucho más y ser capaz de entender mejor el mundo y las personas que me rodean. Es por eso que considero fundamental nombrar a todos aquellos que han contribuido a que esto haya sido posible. Porque sin vuestro apoyo hubiese resultado muchísimo más complicado y difícil.En primer lugar, quisiera agradecer a mi director de tesis, Alejandro Valero, la oportunidad que un día me dio para empezar con este proyecto. En un principio la tesis tenía una dirección distinta, quizás más ingenieril. Y con el transcurso de los años me hizo sentir cómodo y sentí mi fluir como físico, dándome libertad para investigar aquello que me pareciese interesante, pero marcando el punto ingenieril que yo no tenía y he ido aprendiendo. Por esto, y por haber sido paciente, por haberme guiado como corresponde, por tu tiempo...porque he aprendido mucho de ti. . . te doy las gracias! En segundo lugar, quisiera agradecer a mi codirector de tesis Felipe Vico su ayuda en la comprensión de las formulaciones integrales, las matemáticas que han intervenido en este trabajo. Han sido muchas las horas de pensar que me has dedicado, y al final. . . todo ha dado su fruto.Después, quiero darte las gracias a ti, Daniel Sánchez! Considero que además de Alejandro y Felipe, tú has aportado mucho a este trabajo. Y al igual que a todos los que pasamos por el GRE me has dedicado muchísimo tiempo. Por esto. . . gracias! Agradecimientos también para mis colegas Miguel Junior, Toni Vila, Bernat, y Alfonso. Habéis estado siempre apoyándome y aconsejándome, en los buenos vi y malos momentos. Después de todos estos años juntos. . . gracias por todo chicos! A mi amiga Nora, tu apoyo durante estos años ha sido fundamental. He podido contar siempre contigo, para cualquier cosa, y siempre has conseguido calmarme y hacerme ver las cosas de una mejor manera. Por eso te doy las gracias.A mi amiga Alicia, siempre tan divertida. Gracias por tus consejos y apoyo. Ha sido un placer haber coincidido contigo.Además, agradecer de manera especial a mi gran amigo Toni Berenguer todo lo que me ha ayudado. Has sido un pilar para mi, siempre has sacado tiempo para echarme una mano. Hemos disfrutado mucho juntos, hemos despertado juntos. No podía haberme llevado nada mejor al venirme a la UPV que conocerte. Ya sabes que para mi eres como un hermano, y que te aprecio como tal.También agradezco a Miguel Ferrando, Eva Antonino, Marta Cabedo, y a José Ignacio Herranz vuestras sugerencias y ayuda. Siempre habéis estado dispuestos cuando lo he necesitado. A ti, María!! Mariano y Vicent Miquel Y al resto de compañeros y profesores d...

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Validating the Characteristic Modes Solvers

Cited by 53 publications

References 53 publications

Theory of characteristic modes for lossy structures: Formulation and interpretation of eigenvalues

Theory of characteristic modes for lossy structures: Formulation and interpretation of eigenvalues

Modal Tracking Based on Group Theory

Contribution to the physical interpretation of characteristic mode resonances. Application to dielectric resonator antennas

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