  Electronic spin-orbit coupling (SOC) is essential for various newly
discovered phenomena in condensed-matter systems. In particular,
one-dimensional topological heterostructures with SOC have been widely
investigated in both theory and experiment for their distinct transport
signatures indicating the presence of emergent Majorana fermions. However, a
general framework for the SOC-affected transport in superconducting
heterostructures, especially with the consideration of interfacial effects, has
not been developed even regardless of the topological aspects. We hereby
provide one for an effectively one-dimensional superconductor-normal
heterostructure with nonuniform magnitude and direction of both Rashba and
Dresselhaus SOC as well as a spin-orbit-active interface. We extend the
Blonder-Tinkham-Klapwijk treatment to analyze the current-voltage relation and
obtain a rich range of transport behaviors. Our work provides a basis for
characterizing fundamental physics arising from spin-orbit interactions in
heterostructures and its implications for topological systems, spintronic
applications, and a whole variety of experimental setups.
