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(a) Schematic of a coupled resonator-waveguide system. a(t) is the modal amplitude of the resonator, is its coupling rate to the waveguide, and is the incoming [outgoing] wave in the waveguide. (b) Input vs output power plot obtained from CMT (solid line) and FDTD (open circles) for the coupled resonator-waveguide PC device shown in the inset.
(a) The power spectrum of an input pulse. (b) Phase spectra of the transform-limited pulse (dotted line) and a shaped pulse [Eq. (3)] (solid line). (c) Shaped pulse (solid line) and transform-limited pulse (dotted line) in the time domain, with power and phase spectra shown in Figs. 2(a) and 2(b), respectively. (d) Reflected power from the resonator [ is the energy coupled into the resonator].
The (a) transform-limited input waveform and (c) shaped input waveforms used in the bistable switching analysis. (b) and (d) show transmitted powers corresponding to (a) and (c), respectively, from FDTD (solid line) and CMT (open circles) simulations. Insets in (b) and (d) show the electric field distributions before and after the application of the input pulse.
(a) Phase functions for two different values. (b) Results from CMT (solid line) and FDTD (open circles) of the transmission output power long after the switching pulse has passed, over a range of frequency detunings of the shaped pulse’s phase function.
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