Complementary media (CM) interacting with arbitrarily situated obstacles are usually less discussed. In this paper, an analytical framework based on multiple scattering theory is established for analyzing such a mismatched case. As examples, CM-based devices, i.e., a superlens and superscatterer, are discussed. From an analysis, the cancellation mechanism of the mismatched CM is studied. In addition, numerical results are provided for illustration. Moreover, further study shows that such cancellation effects might rely on specific conditions. Actually, the conclusions are not restricted to any specific frequencies; they could be extended to many other areas including applications to active cloaking, antennas, and wireless power transfer.
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