Optical cooperative effects of multiemitters in a one-dimensional (1D) dense array

Posted on 13.10.2021 - 15:54
We theoretically explore cooperative effects of equally spaced multiemitters in a 1D dense array to a low-intensity incident laser beam by modeling the emitters as point-like coupled electric dipoles. We calculate the collective optical spectra of a number of 1D emitter arrays with any radiation-retention coefficient $\eta$ using both exact classical-electrodynamics and mean-field-theory formalisms. We illustrate cooperative effects of lossless 1D emitter arrays with $\eta = 1$ at the emitter spacings, which are displayed by steep edges accompanied by a deep minimum and Fano resonances in the plots of transmissivities as a function of the detuning of the incident light from the emitter resonance. Numerical simulation of the full width of such optical bandgaps reveals that cooperativity between emitters is greater in a small array of size $N \le 8$ than in a larger one of size $N > 8$. For a lossy 1D emitter array in which the radiation retention coefficient is equal to or less than 0.1 the transmissivity obtained by exact-electrodynamics scheme exhibits no bandgap structures, being in good agreement with the mean-field-theory result. We propose that a 1D multiemitter array may work as a nanoscale filter blocking transmission of light with a frequency in the range of optical bandgaps.

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Yoo, Sung (2021): Optical cooperative effects of multiemitters in a one-dimensional (1D) dense array. Optica Publishing Group. Collection. https://doi.org/10.6084/m9.figshare.c.5639875.v2
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