Effect of loss on the dispersion relation of photonic and phononic crystals

  title={Effect of loss on the dispersion relation of photonic and phononic crystals},
  author={V. Laude and Jose M Escalante and Alejandro Mart{\'i}nez},
  journal={Physical Review B},
A theoretical analysis is made of the transformation of the dispersion relation of waves in artificial crystals under the influence of loss, including the case of photonic and phononic crystals. Considering a general dispersion relation in implicit form, an analytic procedure is derived to obtain the transformed dispersion relation. It is shown that the dispersion relation is generally shifted in the complex (k,ω) plane, with k the wave number and ω the angular frequency. The value of the shift… 

Figures and Tables from this paper

Channeled spectrum in the transmission of phononic crystal waveguides

A two-state phononic crystal using highly dissipative polymeric material interface

Periodic structures exhibit very specific properties in terms of wave propagation. In this paper, some numerical tools for dispersion analysis of periodic structures are presented, with a focus on

Complex-Eigenfrequency Band Structure of Viscoelastic Phononic Crystals

The consideration of material losses in phononic crystals leads naturally to the introductionof complex valued eigenwavevectors or eigenfrequencies representing the attenuation of elastic wavesin

Brillouin mirror with an inverted acoustic profile in the presence of strong acoustic dispersion

While usually negligible in standard optical fibers, the group velocity dispersion of acoustic waves may in some cases play a significant role in the dynamics of stimulated Brillouin scattering (SBS)

Reconfigurable Phononic-Crystal Circuits Formed by Coupled Acoustoelastic Resonators

Reconfigurable phononic circuits can be created by the selective fluid filling of holes in a solid phononic crystal. For frequencies within a complete band gap of the bare phononic crystal, the

Lagrangian description of Brillouin scattering and electrostriction in nanoscale optical waveguides

The diffraction of light by sound waves is known as Brillouin scattering. In optical waveguides, Brillouin scattering can arise from both bulk contributions, modelled by photoelasticity, and surface

Enhanced transmission band in periodic media with loss modulation

We study the propagation of waves in a periodic array of absorbing layers. We report an anomalous increase of wave transmission through the structure related to a decrease of the absorption around

Design and experimental validation of a temperature-driven adaptive phononic crystal slab

In this paper, an adaptive phononic crystal slab based on the combination of metallic parts and highly dissipative polymeric interfaces is designed. Cylindrical pillars are composed of shape memory



* Electronic address: vincent.laude@femto-st.fr

    Within the frame of the viscoelastic model, δω| k /ω = ıF L/2 is almost a linear function of frequency