A study of a phase formalism for calculating the cumulative density of states of one-dimensional photonic crystals

Abram, R. A.; Greshnov, A. A.; Brand, S.; Kaliteevski, M. A.

doi:10.1080/09500340.2017.1296597

Cited by 6 publications

(1 citation statement)

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“…Excellent analytical work [7] was done following up [5], but that too was limited in frequency range and number of cells, and imposed various approximations. A disordered 1D photonic crystal with sinusoidally varying index of refraction was considered in [17], but the integrated density of states (IDOS) was shown for only one bandgap. A synthetic photonic lattice disordered temporally [18] simulated DOS for 10 5 temporal cells, but was limited to two symmetric bands separated by a gap, and, in addition, the DOS calculation technique was not explained.…”

Section: Introductionmentioning

confidence: 99%

Integrated density of states algorithm for one-dimensional randomly layered optical media

Kissel¹

2023

Preprint

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Anderson localization simulations in one-dimensional disordered optical systems usually focus on the localization length or its inverse, but the calculation of the density of states has appeared less frequently for such models. In this paper a technique originally used to calculate the integrated density of states for one-dimensional disordered crystals supporting electron propagation is modified for use with randomly layered optical media. The density of states is then readily available via differentiation. The algorithm is demonstrated on one-dimensional quarter-wave stack and non-quarter-wave stack models with layer thicknesses disordered.

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