Articles you may be interested inCoupled electromagnetic transverse-electric-transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity An analytical study of a waveguide with two parabolic cylindrical surfaces separating the guiding region of refractive index nl from two cladding regions of common refractive index n2 with nl > n2 is presented. The cutoff conditions for modes are derived as equations containing trigonometric functions. The modes show a bunching tendency instead of well-defined discreteness, and several mode bunches occur because the distance of separation between the two interfaces does not remain constant but continues to increase as one moves away from the region near the vertices of the parabolas. Unlike the planar waveguide, a nonzero cutoff is deduced which may be attributed to the curvature of the boundaries, and the flare.
A design for the fabrication of an IR filter by using a linearly periodic refractive index pattern on the macroscopic scale in a suitable material has been proposed. To predict allowed and forbidden bands of wavelengths for the lower modes, a mathematical analysis is presented. Numerical estimates of allowed and forbidden bands are also made. Several parameters controlling the range of operation and region of allowed wavelength bands have been identified. It is being suggested that the technical knowhow used in the manufacturing of optical fibres and integrated optical devices can successfully be employed for the fabrication of these filters.
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