Low-threshold bistability of slow light in photonic-crystal waveguides
S. F. Mingaleev, A. E. Miroshnichenko, and Yu. S. Kivshar,
Opt. Express 15, 12380-12385 (2007).
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We analyze the resonant transmission of light through a
photonic-crystal waveguide side coupled to a Kerr nonlinear cavity, and
demonstrate how to design the structure geometry for achieving bistability
and all-optical switching at ultralow powers in the slow-light regime. We
show that the resonance quality factor in such structures scales inversely
proportional to the group velocity of light at the resonant frequency
and thus grows indefinitely in the slow-light regime. Accordingly, the
power threshold required for all-optical switching in such structures scales
as a square of the group velocity, rapidly vanishing in the slow-light regime.
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