Object picture of quasinormal ringing on the background of small Schwarzschild anti–de Sitter black holes

We investigate the evolution of a scalar field propagating in small Schwarzschild anti--de Sitter black holes. The imaginary part of the quasinormal frequency decreases with the horizon size and the real part of the quasinormal frequency keeps nearly as a constant. The object picture clarifies the question about the quasinormal modes for small anti--de Sitter black holes. The dependence of the quasinormal modes on spacetime dimensions and the multipole index for small anti--de Sitter black holes is also illustrated.