Abstract
The electromagnetic field of a high-quality photonic crystal nanocavity is computed using the finite difference time domain method. It is shown that a separatrix occurs in the local energy flux discriminating between predominantly near and far field components. Placing a two-level atom into the cavity leads to characteristic field modifications and normal-mode splitting in the transmission spectra.
Highlights
High quality photonic crystal structures can be realized by a periodic arrangement of air holes in a dielectric medium [1]
It is shown that a separatrix occurs in the local energy flux discriminating between predominantly near and far field components
Placing a two-level atom into the cavity leads to characteristic field modifications and normalmode splitting in the transmission spectra
Summary
High quality photonic crystal structures can be realized by a periodic arrangement of air holes in a dielectric medium [1]. Received 5 May 2005; revised 6 June 2005; accepted 15 June 2005 27 June 2005 / Vol 13, No 13 / OPTICS EXPRESS 4980 very high quality (Q) factors These microcavities are well suited to study non-perturbative light-matter coupling effects if one inserts an optically resonant material system into the cavity. Normal mode splitting of semiconductor quantum dots in a photonic microcavity has been observed experimentally [2] by measuring the emission spectrum after non-resonant excitation into the continuum of wetting-layer states. In this context, an interesting question arises: Can one can see these coupling effects under resonant excitation conditions by measuring the reflected and/or transmitted signal?. This model is able to represent various physical implementations of two-level systems embedded in a photonic crystal at least to first order, the results are applicable to different experimental situations (nanocrystals, atoms, molecules)
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