  We review and elaborate on recent work of Chang and Rabinowitz on scaling
asymptotics of Poisson and Szeg\"{o} kernels on Grauert tubes, providing
additional results that may be useful in applications. In particular, focusing
on the near-diagonal case, we give an explicit description of the leading order
terms, and an estimate on the growth of the degree of certain polynomials
describing the rescaled asymptotics. Furthermore, we allow rescaled asymptotics
in a range $O\left(\lambda^{\epsilon-1/2}\right)$ in all the variables
involved, where $\lambda\rightarrow+\infty$ is the asymptotic parameter, rather
than rescale according to Heisenberg type.
