This paper presents a versatile finite‐difference‐based method, formulated in terms of the simultaneous over‐relaxation (SOR) technique, for the modeling of photonic crystal fibers. The dispersion characteristics of such fibers are obtained and the results are compared with previously published data with excellent agreement. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 38: 418–421, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.11078

A novel wide‐angle finite‐difference beam‐propagation method is applied to the analysis of confinement losses in photonic crystal fibers (PCFs). The method is formulated in terms of the locally one‐dimensional (LOD) technique and Padé polynomials. It was found that the wide‐angle approach allows an acceleration of the convergence rate of up to 50% for the effective‐index imaginary part when compared to paraxial formalism. In this framework, an important aspect of PCF structures, namely, the random structural variation of the hole radius and pitch, which occurs during the fabrication process of these devices, is investigated in this paper. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 45: 568–573, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20882

An optimal design of photonic crystal optical fibers for simultaneous dispersion compensation and Raman amplification is investigated by numerical simulation using the finite-difference simultaneous over-relaxation method. The proposed fiber was fabricated and experimental characterization results are presented. Figure 1 Raman gain, ␥, as a function of the pitch parameter, ⌳, for various d/⌳ values. The single star represents the C-band DC-PCF with physical parameters d/⌳ ϭ 0.89 and ⌳ ϭ 0.93 m.ABSTRACT: Refraction of obliquely incident plane waves due to the interface of a vacuous half-space and a half-space occupied by a simply moving, nondissipative, isotropic dielectric-magnetic medium is considered, when the medium's velocity lies parallel to the interface and in the plane of incidence. Counterposition of the refracted wave vector and time-averaged Poynting vector occurs when the medium's velocity is sufficiently large in magnitude and makes an obtuse angle with the incident wave vector. The counterposition induced by relative motion occurs whether the refraction is negative or positive when the medium is at rest.

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