Singlemode transmission within photonic bandgapofwidth-varied single-line-defect photonic crystal waveguideson SOI substrates

Modal behavior of single-line photonic crystal guiding structures on InP substrate

“…The W1 PCW attracts interest as it supports a single spatially even mode on most of the photonic band gap. Such a system has been thoroughly investigated on membrane structures [1][2][3][4][5][6][7], where lossless modes exist below the light cone. A membrane-based structure is a very interesting object of study, but injecting light in the structure still remains challenging [8]; furthermore, for any in-plane optical function, the design will probably break the PC translational symmetry, then light is not transmitted anymore on lossless modes.…”

Coupled resonator optical waveguides

“…If two pulses centered at the carrier frequencies and , propagate in opposite directions with wave vectors and , and group velocities and , respectively, the space representation of the field is (37) The interference pattern of the spectral components of this field (for example, considering the component at from the forward-propagating pulse and the component at of the backward-propagating pulse) is weighted by a complex coupling coefficient which depends on the material properties, the orientation of the medium, and the polarization of the waves [27], [31]. Therefore, we may write the grating as (38) where is the total optical power. Equation (38), describing the refractive index, may be used to express the nonlinear polarization as in standard coupled-mode theory [27]; the formalism presented in Section IV then dictates the polarization-driven evolution of the fields.…”

“…Therefore, we may write the grating as (38) where is the total optical power. Equation (38), describing the refractive index, may be used to express the nonlinear polarization as in standard coupled-mode theory [27]; the formalism presented in Section IV then dictates the polarization-driven evolution of the fields. The particular example of photorefractive holography, which introduces the further complication of two time coordinates, separated by the hold-time of the grating is discussed elsewhere [6].…”

“…A related family of waveguides in photonic crystals-the reduced-index and increased-index waveguides-is exemplified e.g., in a triangular lattice of holes by altering one row of holes [38], and either increasing or decreasing the radius [39] or leaving out a line of holes [40]. Photonic crystal waveguides fabricated in a silicon slab (with an undercut air region for symmetry) for both triangular and square lattice have demonstrated low scattering-loss transmission around bends at 1550 nm [41].…”

Coupling techniques between dielectric waveguides and planar photonic crystals.

“…Several examples are illustrated in figure 2.12. In figure 2.12(a), the waveguide is designed by shifting the lattice so the distance between the adjacent rows of columns is reduced γ times the distance of the original waveguide [Not01]. In figure 2.12(b), the radius of the adjacent rows of columns that form the waveguide is changed [Adi00].…”