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Complex Band Structure for Subwavelength Evanescent Waves.

  • Published In: Studies in Applied Mathematics, 2025, v. 154, n. 2. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: De Bruijn, Yannick; Hiltunen, Erik Orvehed 3 of 3

Abstract

We present the mathematical and numerical theory for evanescent waves in subwavelength bandgap materials. We begin in the one‐dimensional case, whereby fully explicit formulas for the complex band structure, in terms of the capacitance matrix, are available. As an example, we show that the gap functions can be used to accurately predict the decay rate of the interface mode of a photonic analogue of the Su–Schrieffer–Heeger model. In two dimensions, we derive the bandgap Green's function and characterize the subwavelength gap functions via layer potential techniques. By generalizing existing lattice‐summation techniques, we illustrate our results numerically by computing the complex band structure in a variety of settings. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Studies in Applied Mathematics. 2025/02, Vol. 154, Issue 2, p1
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2025
  • ISSN:0022-2526
  • DOI:10.1111/sapm.70022
  • Accession Number:184046425
  • Copyright Statement:Copyright of Studies in Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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