English

Frequency Conversion in a High Q-factor Sapphire Whispering Gallery Mode Resonator due to Paramagnetic Nonlinearity

Optics 2015-06-05 v1

Abstract

Nonlinear frequency conversion is a well known and widely exploited family of effects in optics, often arising from a Kerr nonlinearity in a crystal medium. Here, we report high stability frequency conversion in the microwave regime due to a χ(3)\chi^{(3)} nonlinearity in sapphire introduced by a dilute concentration of paramagnetic spins. First, we produce a high stability comb from two microwave fields at 12.029 and 12.037 GHz corresponding to two high QQ-factor Whispering Gallery (WG) modes within the Electron Spin Resonance (ESR) bandwidth of the Fe3+^{3+} ion. The resulting comb is generated by a cascaded four-wave mixing effect with a 7.7 MHz repetition rate. Then, by suppressing four-wave mixing by increasing the threshold power, third harmonic generation is achieved in a variety of WG modes coupled to various species of paramagnetic ion within the sapphire.

Keywords

Cite

@article{arxiv.1207.5341,
  title  = {Frequency Conversion in a High Q-factor Sapphire Whispering Gallery Mode Resonator due to Paramagnetic Nonlinearity},
  author = {Daniel L. Creedon and Karim Benmessai and Michael E. Tobar},
  journal= {arXiv preprint arXiv:1207.5341},
  year   = {2015}
}
R2 v1 2026-06-21T21:39:53.445Z