  In this paper, the recently proposed technique to produce photonic jets
(terajets at THz frequencies) using 3D dielectric cuboids is applied in the
design of mesoscale cuboid-chain waveguide. The chains are basically designed
with several dielectric cubes with dimensions {\lambda}0 along the x, y and z
axes placed periodically along the axial z-axis and separated by an air-gap.
Based on this, a systematic study of the focusing properties and wave guiding
of this chain is performed when the air-gap between the dielectric cubes is
changed from 0.25{\lambda}0 to 2.5{\lambda}0 with the best performance achieved
with the latter design. The numerical results of focusing and transport
properties are carried out using Finite Integration Technique. The results here
presented may be scaled to any frequency ranges such as millimeter,
sub-millimeter or optical frequencies.
