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A reliable algorithm for computationally efficient simulation-driven design optimization of microwave structures is introduced. Our approach exploits manifold mapping (MM), a response correction technique that aligns the coarse model (computationally cheap representation of the structure under consideration) with the accurate but CPU-intensive (fine) model of the optimized device. MM model does not use any extractable parameters which makes it easy to implement. Efficiency and excellent convergence properties of the proposed algorithm is demonstrated through the design of several microstrip filters.