Slab cholesteric waveguide with randomly fluctuating director

Mechanically tuned cholesteric elastomer waveguide slab

“…Similarly, mode 4 does not exhibit pure modes and is classified as a quasi-TE mode. This anomaly has also been reported in [33]. Modes 5 and 6 do not exhibit pure modes throughout the presented frequency range.…”

“…In the mode diagram figure 6, the ratio = R e h x x 0 0 for the system without deformation f(θ) = 0°is a realvalued quantity, indicating the ratio between TE and TM modes, as reported in [26,32,33]. As discussed earlier, this ratio provides information about the hybridization of the modes, and for certain frequencies, pure TE or TM modes can be observed.…”

“…Then, a comprehensive comparison was conducted, comparing the cutoff frequencies and dispersion relations with the graphical determination of the eigenvalues reported in textbooks, to find a good agreement. Additionally, a second verification was performed, where the algorithm reproduced results previously reported in [32] (figure 2) and [33] (figure 3), for a slab waveguide filled with an ordinary cholesteric phase. In summary, the isotropic and ordinary cholesteric core solutions were used as validation schemes for the numerical method developed in this investigation.…”

“…As a result, the parameter c 1 measures the relationship between the transverse electric and magnetic modes. [33]. The numerical solving procedure employs the shooting and parametric continuation methods to adjust the value of one of the boundaries through its propagation parameters within the fiber core.…”

“…This research is important because it provides a complete and exact mapping of the propagation modes in the reciprocal space that includes their cut-off frequencies, describing the electromagnetic fields near these frequencies and the Poynting vector a linearly polarized mode, while far from the frequencies [32]. On the other hand, an analysis of the effects on electromagnetic waves that propagate in a waveguide with a planar cholesteric core with fluctuations in the optical axis has also been reported, managing to quantify the expected value of the propagation constant, of the relation between the electric and magnetic modes, of the intensity distributions of the fields, and of the non-evanescent components of the Poynting vector numerically [33].…”