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Green's function for photonic crystal slabs.

Li-Ming Zhao1, Xue-Hua Wang, Ben-Yuan Gu

  • 1Institute of Physics, Chinese Academy of Sciences, P. O. Box 603, Beijing, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2005
PubMed
Summary
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The coupled-dipole approximation (CDA) method accurately calculates Green's tensors for photonic crystal (PC) slabs. Results show periodic oscillations and localized scatterer effects in PC slabs, demonstrating CDA

Area of Science:

  • Computational physics
  • Condensed matter physics
  • Photonics

Background:

  • Photonic crystals (PCs) offer unique light manipulation properties.
  • Understanding Green's tensors is crucial for PC slab analysis.
  • Numerical methods are essential for complex PC structures.

Purpose of the Study:

  • To numerically solve Green's tensors for photonic crystal slabs.
  • To assess the applicability of the coupled-dipole approximation (CDA) technique.
  • To investigate the behavior of Green's tensors in PC slabs with varying scatterer configurations.

Main Methods:

  • Numerical solution of Green's tensors.
  • Application of the coupled-dipole approximation (CDA) technique.
  • Analysis of PC slabs with single and multiple rows of scatterers.

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Main Results:

  • The CDA technique successfully yields Green's tensor components satisfying interface conditions.
  • Green's tensors exhibit periodic oscillations with increasing scatterer numbers.
  • A localized effect of scatterers on Green's tensors is observed in single-row samples, disappearing in multi-row samples.

Conclusions:

  • The CDA technique is highly applicable for studying PC slab properties.
  • The spatial distribution and behavior of Green's tensors are dependent on the PC slab's geometry.
  • Scatterer interactions and their influence on electromagnetic fields within PC slabs can be effectively modeled.