  We have derived analytical solutions using Jacobi elliptic functions for
bound and nearly bound photon orbits in Kerr-de Sitter (KdS) and Kerr-de Sitter
Revisited (RKdS) spacetimes. Leveraging our obtained solutions, we have
conducted an analytic ray-tracing in both spacetimes. We have obtained direct
images, lensing rings and photon rings for equatorial disks considering
inclined locally static observers. Images corresponding to n=(2,3) exhibit a
significantly closer resemblance to the critical curve as compared to the n=1
image. This highlights the remarkable potential of these higher-order images as
robust testing grounds for General Relativity (GR). Furthermore in both
spacetimes, we have obtained analytical solutions for the critical parameters
governing the structure of the photon ring and analyzed these parameters in
details.
