2018
DOI: 10.2528/pierb17112104
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A Hermite-Interpolation Discretization and a Uniform Path Deformation for the Spatial Spectral Domain Integral Equation Method in Multilayered Media for Te Polarization

Abstract: Two alternative approaches to the spatial spectral integral equation method are proposed. The first enhancement comprises a Hermite interpolation as the set of basis functions instead of the Gabor frame. The continuity, differentiability, equidistant spacing, and small support of these basis functions allows for an efficient and accurate numerical implementation. The second approach encompasses a method to transform between spatial domain and the deformed path in the complex-plane spectral domain. This method … Show more

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“…It should be noted that the complex integration path of (16) is not the only possible choice. For example, in Dilz and Beurden (2018) a different continuous path in one dimension is chosen. The current choice for the path in (16) was made because the large horizontal stretches allow for fast transformations to and from the spectral domain.…”
Section: A Complex-plane Deformation Of the Integration Manifoldmentioning
confidence: 99%
“…It should be noted that the complex integration path of (16) is not the only possible choice. For example, in Dilz and Beurden (2018) a different continuous path in one dimension is chosen. The current choice for the path in (16) was made because the large horizontal stretches allow for fast transformations to and from the spectral domain.…”
Section: A Complex-plane Deformation Of the Integration Manifoldmentioning
confidence: 99%