Wink, Samuel M., Muljarov, Egor A.  ORCID: https://orcid.org/0000-0002-2878-4148, Langbein, Wolfgang  ORCID: https://orcid.org/0000-0001-9786-1023 and Deng, Hai-Yao  ORCID: https://orcid.org/0000-0001-6065-483X
      2023.
      
      Surface scattering amplitude for a spatially dispersive model dielectric.
      Physical Review B (condensed matter and materials physics)
      108
      
        (24)
      
      
      , 245302.
      10.1103/PhysRevB.108.245302
    
  
    
    
       
    
  
  
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Abstract
Recently, it was shown [H.-Y. Deng and E. A. Muljarov, Phys. Rev. B 106, 195301 (2022)] that the so-called additional boundary conditions (ABCs) had significant issues when describing the surface properties of spatially dispersive media and an alternative ABC-free theory was developed introducing the surface scattering amplitude (SSA), which determines how polarization waves are scattered by a surface. Here we analytically calculate the SSA for a spatially dispersive model dielectric using wave-scattering theory and discuss some emerging generic properties independent of the model. The model consists of a lattice of interacting harmonic oscillators which had historically been used to mimic local excitons. It was shown that for short-range interactions the SSA is a constant independent of where the polarization waves were originated, which is not the case for long-range interaction. The calculated optical properties of a slab verify the general ABC-free theory.
| Item Type: | Article | 
|---|---|
| Date Type: | Publication | 
| Status: | Published | 
| Schools: | Professional Services > Advanced Research Computing @ Cardiff (ARCCA) Schools > Physics and Astronomy  | 
      
| Publisher: | American Physical Society | 
| ISSN: | 2469-9950 | 
| Date of First Compliant Deposit: | 10 December 2023 | 
| Date of Acceptance: | 20 November 2023 | 
| Last Modified: | 23 Jun 2025 09:58 | 
| URI: | https://orca.cardiff.ac.uk/id/eprint/164643 | 
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