Nonlinear TM modes in cylindrical liquid crystal waveguide

Avendaño, Carlos; Reyes, J. A.

doi:10.1016/j.optcom.2010.07.049

Cited by 8 publications

(3 citation statements)

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“…Nematic waveguides have been applied to separate transverse magnetic from transverse electric modes [15]. Nonlinear effects for which the cut-off frequencies of the modes are intensity dependent have been obtained by considering the distortion of the nematic texture induced by the optical field [16]. Bend core liquid crystal fibers have been also studied for the general case of a biaxial phase where elliptically polarized slowly leaky modes have been found, which made the fiber susceptible to be used either as a waveguide or as an antenna depending on the spectral region where the system is tuned [17].…”

Section: Introductionmentioning

confidence: 99%

“…It was shown that the cylindrical geometry and the size of its inner diameter influence BP domains orientation, which can lead to a uniform texture of the BPLC with a dominant Bragg wavelength. In previous works, we have analyzed the propagation of electromagnetic waves throughout distinct cylindrical waveguides cored by various types of mesophases [15][16][17][18]. In these research studies, we have developed certain analytical and numerical procedures suitable to describe inhomogeneous and anisotropic materials.…”

Section: Introductionmentioning

confidence: 99%

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Cylindrical fiber cored by a blue phase liquid crystal

Vázquez

Reyes

Palomares

2020

J. Opt.

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We consider an electromagnetic field propagating within a cylindrical waveguide whose core consists of a material in which the elongated molecules have the tendency to rotate helically along all directions perpendicular to a given vector which we chose to be along the axis of the fiber. This type of structure can be found in some chiral nematic materials such as blue phases. We establish the electromagnetic equations governing the dynamics of all the orders of propagating modes and solve them numerically. We found the band structure of the mentioned modes and show that they can be classified in quasi-transverse magnetic and electric modes whose corresponding cut-off frequencies are in some cases degenerated. Also, the profile field amplitudes versus the radial axis of the fiber are depicted and analyzed. Finally, we discuss how the modes are conformed and their conditions to propagate electromagnetic waves.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cylindrical fiber cored by a blue phase liquid crystal

Vázquez

Reyes

Palomares

2020

J. Opt.

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“…If the boundary conditions are to be considered, the study of transverse magnetic (TM) nonlinear modes in nematic LC core waveguides can be realized by two different assumptions: i) by assuming hard anchoring boundary conditions for the nematic director, an iterative numerical scheme permits determine up to certain approaches the propagation constant as a function of optical power (Lin& Palffy-Muhoray, 1994), ii) by considering soft anchoring boundary conditions, a numerical but exact procedure allows to obtain the propagating parameters, transverse field distribution and nematic configuration as a function of the mode intensity (Avendaño & Reyes, 2010). It is shown that the anisotropy of the nematic and the intensity of the propagating beam causes simultaneously spatial redistribution of the field amplitude and the nematic configuration, as well as changes in the propagation constant and on the cut off frequencies.…”

Section: Introductionmentioning

confidence: 99%