  With the development of the massive satellite constellation and the on-orbit
laser-based communication equipment, the wavelength routing optical satellite
network (WROSN) becomes a potential solution for on-orbit, high-capacity, and
high-speed communication. Since the inter-satellite links (ISLs) are
time-varying, one of the fundamental considerations in the construction of the
WROSN is assigning limited laser communication terminals for each satellite to
establish ISLs with the visible satellites. Therefore, we propose a links
assignment scheme (LAS) based on the potential edges importance matrix (PEIM)
algorithm to construct a temporarily stable topology of the ISLs for a
dual-layer constellation. The simulation results showed that the LAS based on
the PEIM algorithm is better than LAS based on the random or Greedy algorithm
in terms of node-to-node distance, node pair connectivity, wavelength demand,
and transmission delay. The node pair connectivity and wavelength demand in
WROSN is a trade-off problem. The research in this paper also brings a novel
method for reduction of the cost of the on-board resources, that is through
designing topology of the ISLs with links assignment algorithm.
