Hyperuniform disordered material with perforated resonant structure

An optical modulator comprising:

• a photonic crystal waveguide configured to guide an optical signal, wherein the photonic crystal waveguide includes an unperforated central strip extended lengthwise and three rows of circular perforations disposed on each side of the unperforated central strip;
• a Hyperuniform Disordered Solid (“HUDS”) structure formed by walled cells organized in a lattice, wherein the lattice includes a semiconductor material;
• a first electrical contact coupled to a first doping region within the semiconductor material;
• a second electrical contact coupled to a second doping region within the semiconductor material;
• and
• a perforated resonant structure connecting the lattice and the photonic crystal waveguide, wherein the first and second doping regions are disposed to modulate an index of refraction of the perforated resonant structure in response to a modulation signal across the first and second electrical contacts, and wherein the perforated resonant structure is configured to be resonant at a frequency band that is a subset of a bandwidth of the optical signal, the perforated resonant structure including:
• an outer segment of the circular perforations that includes eight of the circular perforations that are offset from their respective rows by a first offset distance;
• a middle segment of the circular perforation that includes five of the circular perforation that are offset from their respective rows by a second offset distance that is larger than the first offset distance;
• and
• an inner segment of the circular perforation that includes two of the circular perforation that are offset from their respective row by a third offset distance that is larger than the second offset distance, wherein the circular perforations having the same diameter, and wherein the first, second and third offset distances are offset away from the unperforated central strip, the middle segment being disposed between the inner segment and the outer segment.

An optical structure comprising:

• a Hyperuniform Disordered Solid (“HUDS”) structure formed by walled cells organized in a lattice;
• a photonic crystal waveguide configured to guide an optical signal, wherein the photonic crystal waveguide includes an unperforated central strip extended lengthwise and three rows of circular perforations disposed on each side of the unperforated central strip;
• and
• a perforated resonant structure formed along a boundary of the photonic crystal waveguide, wherein the perforated resonant structure connects the lattice and the photonic crystal waveguide, and wherein the perforated resonant structure is configured to be resonant at a frequency band that is a subset of a bandwidth of the optical signal, the perforated resonant structure including:
• an outer segment of the circular perforations that includes eight of the circular perforations that are offset from their respective rows by a first offset distance;
• a middle segment of the circular perforation that includes five of the circular perforation that are offset from their respective rows by a second offset distance that is larger than the first offset distance;
• and
• an inner segment of the circular perforation that includes two of the circular perforation that are offset from their respective row by a third offset distance that is larger than the second offset distance, wherein the circular perforations having the same diameter, and wherein the first, second and third offset distances are offset away from the unperforated central strip, the middle segment being disposed between the inner segment and the outer segment.