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  • 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference
  • OSA Technical Digest (Optica Publishing Group, 2019),
  • paper ch_p_48

“Cartesian Light”: How does Light Propagate in a 3D Superlattice of Photonic Bandgap Cavities?

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Abstract

We explore the unconventional propagation of light in a three-dimensional (3D) superlattice of coupled resonant cavities in a 3D photonic band gap crystal (Fig. 1). Such a 3D cavity superlattice is the photonic analogue of the Anderson model for spins and electrons in the limit of zero disorder [1]. Using the plane-wave expansion method [2], we calculate the dispersion relations of the 3D cavity superlattice with the cubic inverse woodpile structure [3,4] that reveal five coupled-cavity bands. These bands have quadrupolar symmetry and are the optical analogues of d-orbitals in solid-state physics [4,5]. Therefore, one might naively expect neighboring cavities to couple mostly in diagonal directions.

© 2019 IEEE

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