Effective field theory for distorted photonic crystals

Hitoshi Kitagawa, Kanji Nanjyo, and Kyoko Kitamura
Phys. Rev. A 103, 063506 – Published 7 June 2021

Abstract

In this study, we used differential geometry to develop an effective field theory to study the behavior of light propagation in distorted photonic crystals (DPCs) of averagely homogeneous refractive index media. To study the light-ray trajectories in DPCs, we derived a geodesic equation based on the principle of least action by defining the metric tensor in terms of the lattice-position distortion. The geodesic equation implies that the lattice-position distortion can curve the trajectory. We present multiple exact solutions for the trajectory for simple distortion under the condition of having the same values of the lattice point filling factor at each unit cell. These solutions explicitly demonstrate that the light is only bent through the introduction of lattice distortion, and that these results are consistent with the finite-difference time-domain simulation results.

  • Figure
  • Figure
  • Figure
  • Received 30 November 2020
  • Revised 25 May 2021
  • Accepted 25 May 2021

DOI:https://doi.org/10.1103/PhysRevA.103.063506

©2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Hitoshi Kitagawa1,*, Kanji Nanjyo1, and Kyoko Kitamura1,2

  • 1Department of Electronics, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto 606-8585, Japan
  • 2Japan Science and Technology Agency, Precursory Research for Embryonic Science and Technology, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan

  • *Corresponding author: pamkitag@kit.ac.jp

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 103, Iss. 6 — June 2021

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×