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Retrieval of the Effective Refractive Index and Impedance Under Oblique Incidence Using the Multimodal Transfer-Matrix Method
KTH, School of Electrical Engineering and Computer Science (EECS), Communication Systems. Thales Research and Technology, 91767 Palaiseau, France.ORCID iD: 0009-0005-0278-7526
KTH, School of Electrical Engineering and Computer Science (EECS), Communication Systems. Universidad de Sevilla, 41004 Sevilla, Spain.ORCID iD: 0000-0001-8943-9068
Thales Research and Technology, 91767 Palaiseau, France.ORCID iD: 0000-0002-0053-9802
Thales Research and Technology, 91767 Palaiseau, France.ORCID iD: 0000-0001-6863-1843
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2026 (English)In: IEEE Journal of Microwaves, E-ISSN 2692-8388, Vol. 6, no 4, p. 1102-1117Article in journal (Refereed) Published
Abstract [en]

This work presents an efficient simulation-assisted procedure to retrieve the effective constitutive parameters of anisotropic metamaterials using the multimodal transfer-matrix method (MMTMM). The validity of the effective parameters is limited to the non-diffractive regime where p ≤ λ0, with p being the periodicity of the constitutive unit cell. Particular emphasis is placed on finding the effective refractive index and impedance, since these quantities are essential to characterize the reflection and transmission of plane waves in lens-based and other microwave applications. Expanding on previous studies, the MMTMM is generalized to deal with oblique incidence when determining the effective permittivity, permeability, and impedance tensors. A novel effective strategy is also presented to compute the effective TM and TE refractive indices and impedances. For illustration purposes, we study three anisotropic metamaterial structures: a wire medium, a stack of L-shaped particles used for polarization control, and an artificial material composed of glide-symmetric patches that can act as a dielectric of high permittivity. The proposed method is validated by comparing the scattering response of a finite stack of the composite structure with that of an equivalent homogenized slab filled with the retrieved constitutive parameters. Finally, as a design application, a matching layer implemented with homogenized stacks of patches was synthesized to match the impedance of a slab illuminated by an oblique incident wave.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) , 2026. Vol. 6, no 4, p. 1102-1117
Keywords [en]
Artificial dielectric, homogenization, impedance, multimodal analysis, numerical methods, periodic structures, permeability, permittivity, refractive index
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering Composite Science and Engineering
Identifiers
URN: urn:nbn:se:kth:diva-386800DOI: 10.1109/JMW.2026.3705515ISI: 001824281900002Scopus ID: 2-s2.0-105045714317OAI: oai:DiVA.org:kth-386800DiVA, id: diva2:2091207
Note

QC 20260811

Available from: 2026-08-11 Created: 2026-08-11 Last updated: 2026-08-11Bibliographically approved

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Tercero, MoisesMesa, Franciscovan Hoang, Thi QuynhBertrand, MatthieuQuevedo-Teruel, Oscar
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