We present an analytical study of null geodesics and massless scalar fields in traversable wormholes supported by anisotropic Kiselev-type matter. The geometry, defined by the throat radius Formula: see text and equation-of-state parameter Formula: see text, satisfies regularity and flaring-out conditions. Photon trajectories are characterized by exact photon-sphere conditions, critical impact parameters, and bending angles, with the effective potential Formula: see text encoding the geometry and redshift profile. Scalar perturbations reduce to a generalized Helmholtztype equation with a frequency(Formula: see text)-dependent refractive index Formula: see text, which exhibits strong near-throat confinement for low-frequency waves and approaches a nondispersive, ray-like behavior in the high-frequency limit. This framework provides a self-consistent analytical description of ray and wave propagation in Kiselevtype wormholes, highlighting the influence of geometry and redshift on light and scalar fields across all frequency regimes.
Guvendi et al. (2026) studied this question.