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In this paper, we evaluated the quasinormal modes of electromagnetic perturbation in a Schwarzschild black hole surrounded by the static spherically symmetric quintessence by using the third-order WKB approximation when the quintessential state parameter in the range of . Due to the presence of quintessence, Maxwell field damps more slowly. And when at , it is similar to the black hole solution in the ds/Ads spacetime. The appropriate boundary conditions need to be modified.

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