  A Kerr-Sen-like black hole solution appears in the Einstein-bumblebee theory
of gravity. The solution contains contains a Lorentz violating parameter in an
explicit manner. We study the null geodesics in the background of this
Kerr-Sen-like black hole surrounded by a dispersive medium like plasma. We
investigate the effect of the charge of the black hole, the Lorentz violation
parameter, and the plasma parameter on the photon orbits with the evaluation of
the effective potential in the presence of both the Lorentz violation parameter
and the plasma parameter. We also study the influence of the Lorentz violation
parameter and plasma parameter on the emission of energy from the black hole
due to thermal radiation. Besides, we compute the angle of deflection of
massless particles with weak-field approximation in this generalized situation
and examine how it varies with the Lorentz violation parameter in presence of
plasma. Constraining the parameters of this Lorentz violating Kerr-Sen-like
black hole is also attempted here with the result obtained from the
observations of the Event Horizon Telescope (EHT) collaboration.
