  Bearing in mind our previous study on asymptotic behavior of null geodesics
near future null infinity, we analyze the behavior of geometrical quantities
such as a certain extrinsic curvature and Riemann tensor in the Bondi
coordinates. In the sense of asymptotics, the condition for an $r$-constant
hypersurface to be a photon surface is shown to be controlled by a key quantity
that determines the fate of photons initially emitted in angular directions. As
a consequence, in four dimensions, such a non-expanding photon surface can be
realized even near future null infinity in the presence of enormous energy flux
for a short period of time. By contrast, in higher-dimensional cases, no such a
photon surface can exist. This result also implies that the dynamically
transversely trapping surface, which is proposed as an extension of a photon
surface, can have an arbitrarily large radius in four dimensions.
