Parametric vs Bloch gain in a single energy band

Kirill Alekseev

Loughborough University, Physics Department, Loughborough, UK

(in collaboration with T Hyart, A Shorokhov, NV Alekseeva)

We consider a high-frequency parametric gain arising in a single energy band of superlattice subject to ac electric field. Phase-sensitive amplification of a weak probe field, whose frequency is even or half-integer harmonic of the pump frequency, can be realized due to periodic oscillations of an effective electron mass in the energy band [1,2]. Here we further develop the theory of parametric amplification in superlattices considering the nondegenerate parametric amplification which allows to reach a phase-insensitive gain for a signal field in the presence of an idler field. We show how the familiar Manley-Rowe relations [3], connecting powers and frequencies of pump, signal and idler fields, arises in the limit of weak dissipation (rare electron collisions). Comparison of the parametric and ordinary Bloch amplification mechanisms is provided.

[1] T. Hyart, N. V. Alexeeva, A. Leppanen, and K. N. Alekseev, "THz parametric gain in semiconductor superlattices in the absence of electric domains", Appl. Phys. Lett. 89, 132105 (2006)

[2] T. Hyart, A. V. Shorokhov, and K. N. Alekseev, "Theory of Parametric Amplification in Superlattices", Phys. Rev. Lett. 98, 220404 (2007)

[3] J. M. Manley and H. E. Rowe, "Some general properties of nonlinear elements", Proc. IRE 44, 904 (1956)

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