Kolmogorov n-widths of band structure solution manifolds decay exponentially with the minimum spectral gap, establishing sharp optimality bounds for linear reduced-order models.
An efficient method for band structure calculations in 3d photonic crystals.Journal of Computational Physics, 161(2):668–679
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On the Optimality of Reduced-Order Models for Band Structure Computations: A Kolmogorov $n$-Width Perspective
Kolmogorov n-widths of band structure solution manifolds decay exponentially with the minimum spectral gap, establishing sharp optimality bounds for linear reduced-order models.