Based on the Werthamer model [Phys. Rev. 147, 255 (1966)] we investigate the current-voltage characteristic of Josephson tunnel junctions irradiated by a microwave. Within the first harmonic approximation we derive relations for the constant-voltage steps and the corresponding stability conditions. The results are compared with investigations in the frame of the Stewart–McCumber model. [Appl. Phys. 12, 277 (1968); J. Appl. Phys. 39, 3113 (1968)].

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Josephson oscillations in a large series array of Josephson junctions designed as a superconducting microwave transmission line are studied. For descriptions of the Josephson junctions both the Stewart–McCumber model and the Werthamer model are used. The attenuation of the Josephson oscillations in the considered array is composed of two terms rising from the stripline and from the Josephson junctions. The latter one is of increasing significance for lower than usually applied drive frequencies.

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