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R. Dubertrand, E. Bogomolny, N. Djellali, M. Lebental, C. Schmit et J. Zyss, Phys. Rev. A 77, 013804 (2008)
The construction of perturbation series for slightly deformed dielectric circular cavity is discussed in detail. The obtained formulas are checked on the example of cut disks. A good agreement is found with direct numerical simulations and far-field experiments.