Symmetry and resonant modes in platonic grating stacks

Abstract

We study the flexural wave modes existing in finite stacks of gratings containing rigid, zero-radius pins. We group the modes into even and odd classes, and derive dispersion equations for each. We study the recently discovered EDIT (elasto-dynamically inhibited transmission) phenomenon, and relate it to the occurrence of trapped waves of even and odd symmetries being simultaneously resonant. We show how the EDIT interaction may be steered over a wide range of frequencies and angles, using a strategy in which the single-grating reflectance is kept high, so enabling the quality factors of the even and odd resonances to be kept large.

This is an Author's original manuscript of an article submitted for consideration in the journal Waves in Complex and Random Media [copyright Taylor & Francis]; 18 pages; 14 figures; 1 table

References in corpus (1)

• Time Driven Subwavelength Focusing with Negative Refraction

Cited by in corpus (7)

• Trapped Modes and Steered Dirac Cones in Platonic Crystals
• Dynamic interfacial trapping of flexural waves in structured plates
• From zero transmission to trapped modes in waveguides
• Semi-infinite herringbone waveguides in elastic plates
• Controlling flexural waves in semi-infinite platonic crystals
• Blockage, trapping and waveguide modes for flexural waves in a semi-infinite double grating
• Active cloaking for clusters of pins in thin plates