This paper presents an attempt to come to a natural field model of individual
photons considered as finite entities and propagating along some distinguished
direction in space in a consistent translational-rotational manner. The
starting assumption reflects their most trustful property to propagate
translationally in a uniform way along straight lines. The model gives correct
energy-momentum characteristics and connects the rotational characteristics of
photons with corresponding nonintegrability (or curvature) of some
2-dimensional distributions (or Pfaff systems) on $\mathbb{R}^4$. It is
obtained that the curvature is proportional to the corresponding
energy-density. The field equations are obtained through a Lagrangian and they
express a consistency condition between photon's translational and rotational
propagation properties. The energy tensor is deduced directly from the
equations since the corresponding Hilbert energy-tensor becomes zero on the
solutions. Planck's formula $E=h\nu$ is naturally obtained as an integral
translational-rotational consistency relation.