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Studies on the scattering of electromagnetic fields by a thin cylindrically curved conducting strip are becoming an important research subject for a variety of applications in the area of antennas and propagation. We use time-domain uniform asymptotic analysis to study the field scattered by a thin cylindrically curved conducting strip. By applying the idea of the GTD, we derive first the frequency-domain uniform asymptotic representations from the solutions to the canonical problems. Then, by applying the saddle point technique to evaluate the inverse Fourier transform, we derive the time-domain uniform asymptotic solution. Comparisons of the uniform asymptotic solution with the reference solution calculated numerically from the combination of the method of moments and the fast Fourier transform (FFT) confirm the validity and utility of the proposed uniform asymptotic time-domain solution.