Optical wave propagation in photonic crystal metamaterials

[INVITED] Soliton propagation through nanoscale waveguides in optical metamaterials

“…where the free parameters A and B are connected as in (11). The wave number is also located in (12) while the same constraint (13) holds here.…”

“…However it is always a challenge to compensate for the loss when engineering these types of waveguides using metamaterials. The theoretical results showed that metamaterials enhance nonlinearity by confining electrical field in a small region that allows more light-matter interaction [11,17,19,20]. In metamaterials, linear and nonlinear coefficients of the propagation equation can be tuned to achieve any combination of signs that is not possible in regular materials.…”

“…This material has been fabricated using nano-fabrication technology by several research groups [11,17]. They manipulated the periodic structure of photonic crystal as well as resonant ring for negative permeability [11,17]. Recently, by using metamaterials, Shalaev and others demonstrated optical waveguides in visible and infrared regions [17].…”

“…Optical metamaterials possess both negative permittivity and negative permeability that cannot be found in nature; but can be engineered by using advanced processing technology [17]. This material has been fabricated using nano-fabrication technology by several research groups [11,17]. They manipulated the periodic structure of photonic crystal as well as resonant ring for negative permeability [11,17].…”

“…Optical waveguides with selected wavelengths can be implemented in photonic crystal partially filled with gold and nanoparticles. Recently, theoretical results are reportedfor Y-splitter and bend waveguide structures [11].…”