Figure 7. Spectrum of spontaneous emission via |2> −→ |1> for γ₂₁ = α²₂₀, and for different values of the detuning δ = ω₂₀ − ω_c of ω₂₀ from ω_c. The frequency ω₂₁ for the transition |2>→ |1> is assumed to lie in the photon continuum far outside the gap. The spontaneous emission spectrum splits only for ω₂₀ close to the band edge ωc (for δ = −α²₂₀ and δ = −0.1α²₂₀), the closer the ω20 to ωc, the more pronounced the splitting. Transitions sufficiently deep inside the gap (δ = −5α²₂₀) or sufficiently far from the gap (δ = +5α²₂₀) do not exhibit spectrum splitting

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Frustrated Spontaneous Emission near the Edge of a Photonic Band Gap

Mesfin Woldeyohannes

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