Comment on "Photonic Band Gaps: Noncommuting Limits and the 'Acoustic Band'"

TL;DR

This paper clarifies that static and quasistatic approaches yield identical results for the effective dielectric constant in 2D photonic crystals at high dielectric limits, correcting previous claims.

Contribution

It demonstrates that static and quasistatic methods converge in the high dielectric limit, challenging prior assertions of their divergence.

Findings

Static and quasistatic approaches agree at high dielectric constants.

Corrects previous claims about differences in these approaches.

Provides insight into effective dielectric constant calculations.

Abstract

This Comment concerns the effective dielectric constant for 2D photonic crystal. We show that even in the limit of very high dielectric constant of photonic crystal's "atoms", static and quasistatic approaches give the same results, unlike it was claimed by Nicorovichi et al, PRL, 75, 1507 (1995).