  Recently, presence of hidden singularities known as exceptional points (EPs)
in non-Hermitian quantum systems has opened up a tremendous interest in
different domains of physics owing to their unique unconventional physical
effects. Effectively for such systems an EP appears as a fascinating
topological defect where two mutually interacting eigenstates of the system
coalesce. In this work, we report occurrence of EP via avoided crossing between
coupled resonance states in an optical microcavity with spatially varying gain
loss profile, an optical analogue of non-Hermitian system. With suitably
tailored system openness and coupling strength, internally coupled resonances
can exhibit EP in a medium with simultaneous presence of loss and gain. We
explore the characteristics behaviors of energy eigenvalues in complex energy
plane and corresponding eigenstates when the control parameters of the system
are adiabatically changed, such a way that they encircle the EP. In this
letter, we first ever exploit the above scheme to analyze the optical
performance in terms of stability and rigidity of a microcavity simultaneously
hosting such multiple EPs.
