Effects of the Roughness in the Optical Response of a 2DPC That Have Dielectric or Dispersive LHM Cylindrical Inclusions: The Triangular Lattice

  • V. Castillo-Gallardo
  • L. Puente-Díaz
  • E. Lozano-Trejo
  • H. Pérez-AguilarEmail author
  • A. Mendoza-Suárez
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 233)


In this work, a numerical technique known as integral equation method (IEM) was used to model the optical response of two-dimensional photonic structures of hexagonal lattice with rods that have smooth and rough surfaces, under TM polarization. Photonic structures were modeled by different materials. One of them was formed with dielectric–dielectric media and the other with dielectric–dispersive LHM media. We found that the optical response was modulated by the roughness of the surface of the inclusions. We also observed that the scattering patterns depend on the type of photonic structure and the incidence angle. Additionally, when we consider the two-dimensional photonic structure with rough surfaces, we approach a real physical system and this causes changes in the reflective optical properties. This property is very useful and has multiple applications in waveguides, filters, omnidirectional mirrors, beam splitters, and so on.



This research was supported by Consejo Nacional de Ciencia y Tecnología through a scholarship for Castillo-Gallardo, Puente-Díaz and Lozano-Trejo. Also, Pérez-Aguilar and Mendoza-Suárez express their gratitude to the Coordinación de la Investigación Científica of the Universidad Michoacana de San Nicolás de Hidalgo for the financial support granted for the development of this research project.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • V. Castillo-Gallardo
    • 1
  • L. Puente-Díaz
    • 1
  • E. Lozano-Trejo
    • 1
  • H. Pérez-Aguilar
    • 1
    Email author
  • A. Mendoza-Suárez
    • 1
  1. 1.Facultad de Ciencias Físico-Matemáticas, UMSNH. Avenida Francisco J. Múgica S/NMoreliaMexico

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