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Making use of the above-mentioned field components, as stated in (3a), (3b), (3c), (3d), (3e), and (3f) and implementing the electromagnetic boundary conditions at the layer interfaces of the LCOF, values of the arbitrary constants can be determined.
Above derived (5), (6), and (7), respectively, represent the expressions of the power propagating through the LCOF core, inner dielectric clad, and the outer liquid crystal clad regions.
then [P.sub.core]/[] ([equivalent to] [[GAMMA].sub.core]) [P.sub.innerclad]/[] ([equivalent to] [[GAMMA].sub.innerclad]), and [P.sub.outerclad]/[] ([equivalent to] [[GAMMA].sub.outerclad]) will, respectively, determine the relative power (or the power confinement factor) in the LCOF core, inner clad, and the outer clad sections.
The two types of fiber structures, namely, the LCOF and the HCLCOF, can now be analyzed.
Now, focussing on the computations of the relative distribution of power in LCOF, we observe from Figure 3(a) that the confinement of power shows an initial increase with the propagation constant [beta] corresponding to almost all the fiber core dimensions considered here.
Figures 3(b) and 3(c), respectively, correspond to the relative distribution of power in the LCOF inner dielectric and the outer liquid crystal clad sections.
The physical properties of the outermost liquid crystal section are considered to be the same as in the case of LCOF discussed above.
Investigators have reported liquid crystal optical fibers (LCOFs) of different forms of constructions in respect of geometry as well as material distributions.
In forming such LCOFs, the radial anisotropy of liquid crystal can be obtained by capillary action after inserting the liquid crystal section (of the fiber) into a capillary tube coated with N, N-dimethyl-N-octadecyl-3-aminopropyl-trimethoxysilyl chloride [11].
Since the propagation of power through a guide plays the determining role for specific applications of the guide, the scope of the present paper lies in the analysis of LCOFs in respect of power confinement factor.
This is to be added at this point that, though the studies related to radially anisotropic LCOFs have been reported before by Choudhury and Yoshino [31], the present study provides a blend of liquid crystal material and tapered structure wherein, apart from the propagation behaviour of the guide in terms of mode cutoffs, a superficial look at the power confinement factors [31] is also given in order to emphasize the usefulness of the guide.