Journal
OPTICS LETTERS
Volume 40, Issue 24, Pages 5790-5793Publisher
OPTICAL SOC AMER
DOI: 10.1364/OL.40.005790
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Funding
- Carlsberg Foundation
- Sapere Aude (LOQIT) [DFF-4005-00370]
- Villum Foundation via the VKR Centre of Excellence NATEC
- Villum Fonden [00008692] Funding Source: researchfish
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We present and validate a semianalytical quasi-normal mode (QNM) theory for the local density of states (LDOS) in coupled photonic crystal (PhC) cavity-waveguide structures. By means of an expansion of the Green's function on one or a few QNMs, a closed-form expression for the LDOS is obtained, and for two types of two-dimensional PhCs, with one and two cavities side-coupled to an extended waveguide, the theory is validated against numerically exact computations. For the single cavity, a slightly asymmetric spectrum is found, which the QNM theory reproduces, and for two cavities, a nontrivial spectrum with a peak and a dip is found, which is reproduced only when including both the two relevant QNMs in the theory. In both cases, we find relative errors below 1% in the bandwidth of interest. (C) 2015 Optical Society of America
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