Kolmogorov n-widths of band structure solution manifolds decay exponentially with the minimum spectral gap, establishing sharp optimality bounds for linear reduced-order models.
Existence of a photonic gap in periodic dielectric structures.Physical review letters, 65(25):3152
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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.