Geometric and wave optics in a BTZ optical metric-based wormhole

Gürtaş Doğan S., Güvendi A., Mustafa O.

Physics Letters B, cilt.868, ss.1-9, 2025 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 868
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1016/j.physletb.2025.139824
  • Dergi Adı: Physics Letters B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.1-9
  • Hakkari Üniversitesi Adresli: Evet

Özet

We investigate the geometric and wave optical properties of a (2+1)-dimensional ultra-static spacetime conformally related to the static BTZ black hole, characterized by constant negative Gaussian curvature. The associated optical metric defines a hyperbolic wormhole geometry, wherein null geodesics experience a Pöschl–Teller-type repulsive effective potential that suppresses circular photon orbits and directs all trajectories toward the optical origin. In the wave regime, we reformulate the Helmholtz equation into a Schrödinger-like form, revealing a spatially localized effective potential that encodes curvature and angular momentum effects. The resulting refractive index n(ρ,ω)n(\rho,\omega) is both spatially and spectrally dispersive, leading to a position-dependent critical frequency ωc(ρ)\omega_c(\rho) that delineates the boundary between propagating and evanescent modes. At high frequencies, the medium becomes asymptotically transparent, while for ω<ωc(ρ)\omega < \omega_c(\rho), waves undergo exponential attenuation. These results demonstrate intrinsic curvature-induced spectral filtering and provide a geometrically tunable framework for analog gravity systems and graphene-based photonic platforms.