  We report a specially configured non-Hermitian optical microcavity, imposing
spatially imbalanced gain-loss profile, to host an exclusively proposed next
nearest neighbor resonances coupling scheme. Adopting scattering matrix
(S-matrix) formalism, the effect of interplay between such proposed resonance
interactions and the incorporated non-Hermiticity in the microcavity is
analyzed drawing a special attention to the existence of hidden singularities,
namely exceptional points (EPs); where at least two coupled resonances
coalesce. We establish adiabatic flip-of-states phenomena of the coupled
resonances in the complex frequency plane (k-plane) which is essentially an
outcome of the fact that the respective EP is being encircled in system
parameter plane. Encountering such multiple EPs, the robustness of
flip-of-states phenomena have been analyzed via continuous tuning of coupling
parameters along a special hidden singular line which connects all the EPs in
the cavity. Such a numerically devised cavity, incorporating the exclusive next
neighbor coupling scheme, have been designed for the first time to study the
unconventional optical phenomena in the vicinity of EPs.
