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In this paper, the recently proposed technique to produce photonic jets(terajets at THz frequencies) using 3D dielectric cuboids is applied in thedesign of mesoscale cuboid-chain waveguide. The chains are basically designedwith several dielectric cubes with dimensions {\lambda}0 along the x, y and zaxes 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 guidingof this chain is performed when the air-gap between the dielectric cubes ischanged from 0.25{\lambda}0 to 2.5{\lambda}0 with the best performance achievedwith the latter design. The numerical results of focusing and transportproperties are carried out using Finite Integration Technique. The results herepresented may be scaled to any frequency ranges such as millimeter,sub-millimeter or optical frequencies.

All-dielectric periodic terajet waveguide using an array of coupled cuboids