M. Patterson

Ultrahigh Purcell factors and Lamb shifts in slow-light metamaterial waveguides

Employing a medium-dependent quantum optics formalism and a Green function solution of Maxwells equations, we study the enhanced spontaneous emission factors (Purcell factors) and Lamb shifts from a quantum dot or atom near the surface of a %embedded in a slow-light metamaterial waveguide. Purcell factors of approximately 250 and 100 are found at optical frequencies for

Interplay between disorder-induced scattering and local field effects in photonic crystal waveguides

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Reducing disorder-induced losses for slow light photonic crystal waveguides through Bloch mode engineering

polarized and

Disorder-induced resonance shifts and mode edge broadening in photonic crystal waveguides

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Reducing disorder-induced losses for slow-light photonic crystal waveguides through Bloch mode engineering

polarized dipoles respectively placed 28\thinspace nm (0.02\thinspace

Disorder-induced coherent scattering in slow-light photonic crystal waveguides

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Disorder-induced incoherent scattering losses in photonic crystal waveguides: Bloch mode reshaping, multiple scattering, and breakdown of the Beer-Lambert law

) above the slab surface, including a realistic metamaterial loss factor of

Broadband Purcell factor enhancements in photonic-crystal ridge waveguides

\gamma /2\pi =2 \mathrm{THz}

Role of Bloch mode reshaping and disorder correlation length on scattering losses in slow-light photonic crystal waveguides

. For smaller loss values, we demonstrate that the slow-light regime of odd metamaterial waveguide propagation modes can be observed and related to distinct resonances in the Purcell factors. Correspondingly, we predict unusually large and rich Lamb shifts of approximately -1 GHz to -6 GHz for a dipole moment of 50 Debye. We also make a direct calculation of the far field emission spectrum, which contains direct measurable access to these enhanced Purcell factors and Lamb shifts.

The Disorder Problem for Slow-Light Photonic Crystal Waveguides

We introduce a theory to describe disorder-induced scattering in photonic crystal waveguides, specifically addressing the influence of local field effects and scattering within high-index-contrast perturbations. Local field effects are shown to increase the predicted disorder-induced scattering loss and result in significant resonance shifts of the waveguide mode. We demonstrate that two types of frequency shifts can be expected, a mean frequency shift and a RMS frequency shift, both acting in concert to blueshift and broaden the nominal band structure. For a representative waveguide, we predict substantial meV frequency shifts and band structure broadening for a telecommunications operating frequency, even for state of the art fabrication. The disorder-induced broadening is found to increase as the propagation frequency approaches the slow light regime (mode edge) due to restructuring of the electric field distribution. These findings have a dramatic impact on high-index-contrast nanoscale waveguides, and, for photonic crystal waveguides, suggest that the nominal slow-light mode edge may not even exist. Furthermore, our results shed new light on why it has hitherto been impossible to observe the very slow light regime for photonic crystal waveguides.