Phase-Sensitive Multimode Parametric Amplification in a Parabolic-Index Waveguide

This is the authors' abstract. We don't add key points for this paper.

We show that multiple spatial modes or images can be amplified by an optical parametric amplifier based on a graded-index waveguide, and that the modal gains can be equalized by using a superposition of several pump modes. We present a coupled-mode model of such an amplifier and develop gain equalization techniques for both 1- and 2-D cases. In the former case, we find that ~ 20 modes can be amplified with a relatively low gain ripple by a superposition of four pump modes. In the latter case, over 250 modes can be similarly amplified by a superposition of 4×4 = 16 pump modes.