Abstract
We present a systematic design procedure of photonic crystal (PhC) superprism structures for on-chip spectroscopic applications. In specific, we propose a new figure of merit, namely the angular-group-dispersion-bandwidth-product (AGDBP) to quantitatively describe the spectroscopic performance of PhC superprism structures, and an optimum PhC structure for spectroscopic applications should have large angular group dispersion over a large bandwidth, i.e., a flat-top dispersion profile. We demonstrate the advantage of such a new design consideration by optimizing the geometry of a two-dimensional parallelogram-lattice PhC superprism structure. The performance of such a superprism spectrometer is further analyzed numerically using finite-difference time-domain simulations, which out-performs current implementations in terms of the number of achievable output spectral channels.
Highlights
Photonic crystals (PhCs) [1,2,3] are periodic dielectric patterns with feature sizes comparable to the wavelength of light
One major limitation of a square-lattice PhC superprism structure is that its angular group dispersion (AGD) is highly frequency dependent, which leads to very narrow working bandwidth over which the superprism effect is appreciable and to very unevenly-spaced channel spacing
To further demonstrate the performance of our flat-band PhC superprism structure obtained through the optimization procedure, we numerically simulate spectral performance of an optimized superprism spectrometer using finite-difference time-domain (FDTD) algorithms [16]
Summary
Photonic crystals (PhCs) [1,2,3] are periodic dielectric patterns with feature sizes comparable to the wavelength of light. “Systematic design of superprism-based photonic crystal demultiplexers,” IEEE J. “Compact wavelength demultiplexing using focusing negative index photonic crystal superprisms,” Opt. Express 14, 2413– 2422 (2006).
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