On the analytical investigation of fields and power patterns in coaxial omniguiding Bragg fibers

Plots of the electric fields in the different sections of multilayered coaxial omniguiding Bragg fibers are presented. Investigations are made for the different dimensional values of the fiber, and a comparative study is made. It is found that the fields match very smoothly at the layer interfaces, and decay with the increase in radial distance. Particularly, field patterns are best matched in the case of large core Bragg fibers. For illustration, plots of power are also presented for two-layer and four-layer (core-clad) sections of the fiber. Power peaks are observed in both the types of fiber sections, and in this case also, it is observed that the power patterns match smoothly at the layer boundaries. Smooth match of fields as well as power patterns justifies the validity of the analytical procedure that implements the theory of Bloch formulation in omniguiding fibers.     

Towards dispersion relations for tapered core dielectric elliptical fibers

The paper presents an analytical investigation of the electromagnetic wave propagation in a tapered core dielectric elliptical step-index fiber. Implementing Maxwell's equations in elliptical coordinates, field components are deduced that essentially incorporate Mathieu and the modified Mathieu functions. Finally, the characteristic dispersion equations are developed for even and odd modes supported by the fiber.     

On the investigation of field and power through photonic crystal fibers - A simulation approach

An investigation of different types of photonic crystal fibers (PCFs), in respect of mode formation, is presented using computer simulations. In the investigative approach, we numerically solved Maxwell's equations for PCFs. In particular, we performed modal analysis for three different types of PCFs, namely Bragg fibers, index-guiding PCFs and photonic bandgap PCFs. Through simulations, we demonstrated the distribution of electric/magnetic fields as well as the propagation of power in different types of PCF structures. Simulation results reveal potentials of implementing PCFs (over conventional fibers) for the guidance of electromagnetic waves in nanophotonic waveguidance systems.     

A rigorous analysis of the power distribution in plastic clad annular core optical fibers

Using Maxwell's field equations, an analytical investigation is presented of the relative power distributions in the different sections of a step-index plastic clad annular core optical fiber (ACF) operating in the infrared region of the electromagnetic (EM) spectrum. It is assumed that the fiber cross-section is made of two concentric circles, and the EM waves propagate through the annular region. The chosen fiber materials are widely used in low cost optical links. The wave equations are solved in the different sections of the fiber, and the general expressions for power in the core and the cladding regions are finally deduced. Plots are shown of the variation of fractional power (or the power confinement factor) in all the fiber sections against the propagation constants of sustained modes. The cases of three lowest azimuthal modal indices (i.e. meridional as well as skew modes) are described. It is observed that the confinement of power in the core section is increased for ACFs of larger cross-sectional dimensions. Also, a fairly uniform distribution of power over the sustained modes remains for large sized fibers, and this uniformity is greatly affected in ACFs of smaller dimensions. It is suggested that, because of strong evanescent fields, ACFs can be of potential use in chemical sensing. Apart from this, it is also presumed that these may be useful in the areas of communications. The improved mechanical strength adds the potentiality of ACFs.     

Low eccentricity elliptical fibers with helical windings under slow-wave consideration—Some special cases

Analytical investigation of the lightwave propagation through dielectric elliptical fibers with conducting helical windings on the core-clad boundary is presented under the consideration of slow-wave approximation. The analysis essentially requires the use of elliptical coordinate system. Mathieu and the modified Mathieu functions are used as the representatives of the electromagnetic fields within the structure. Field components in the different sections of the guide are presented, and the characteristic dispersion relations for the system are deduced for 0° and 90° pitch angles. The investigation reveals that the pitch angle has ultimately no effect on the dispersion relations for their selected values. The effect of core ellipse eccentricity on the dispersion characteristics is presented for two different operating wavelengths, and considering different values of the core major axis length.     

A rigorous analysis of the distribution of power in plastic clad linear tapered fibers

An analytical investigation is presented of the propagation of power in a step-index plastic clad tapered optical fiber operating in the infrared region of the electromagnetic (EM) spectrum. The chosen materials are widely used in low cost optical links. It is assumed that the taper section has a linear profile. Following rigorous analytical approach, the general expressions for power in the core and the cladding sections are derived, and a study is presented of the variation of the relative power along the propagation direction in respect of different (meriodinal and skew) lower order modes. It is observed that, in general, the confinement of power is fairly high in the core section, and the confinement increases with the increase in the taper length and/or mode index. In the cladding region, the confinement decreases for higher taper lengths.     

单模锥形光纤锥区光场及超短脉冲的传输特性

根据光波导理论,采用数值方法分析了单模锥形光纤锥区传输常数和光场分布的变化情况.采用分步傅里叶法数值求解广义的非线性薛定谔方程,对超短脉冲在锥区的传输演化进行了研究.结果表明:传输常数沿拉锥方向缓慢减小,在拉锥末端迅速减小|在拉锥初始阶段,能量主要集中在纤芯中,“转换点”之后能量在纤芯和包层中重新分布,光强在拉锥末端变强|脉宽小于80 fs的超短脉冲沿锥区传输时,沿拉锥方向,脉冲不断展宽,而当脉宽大于80 fs时,脉冲展宽不明显.     

单模锥形光纤锥区光场及超短脉冲的传输特性

根据光波导理论,采用数值方法分析了单模锥形光纤锥区传输常数和光场分布的变化情况.采用分步傅里叶法数值求解广义的非线性薛定谔方程,对超短脉冲在锥区的传输演化进行了研究.结果表明:传输常数沿拉锥方向缓慢减小,在拉锥末端迅速减小;在拉锥初始阶段,能量主要集中在纤芯中,"转换点"之后能量在纤芯和包层中重新分布,光强在拉锥末端变强;脉宽小于80 fs的超短脉冲沿锥区传输时,沿拉锥方向,脉冲不断展宽,而当脉宽大于80 fs时,脉冲展宽不明显.     

Analytical design of photonic band-gap fibers and their dispersion characteristics

The paper essentially deals with the analysis of photonic band-gap fibers in analogy with the electron wave motion in periodic crystal lattice. As such, the analyses are based on Bloch formulation. The dispersion characteristics of such fibers are presented by considering some illustrative values of design parameters. The effect of design parameters on the dispersion characteristics is also presented in terms of the variation of widths of allowed and forbidden bands of band-gap fibers. It is found that the number of allowed bands increases with the increase in difference between refractive indices of different layers. Further, widths of the allowed and forbidden bands increase with the increase in layer thickness.     

Waves in coaxial optical fiber under DB-boundaries

Investigations are made of the wave propagation through coaxial optical fiber composed of dielectric medium with inner and outer surfaces bounded with DB-boundary. Eigenvalue equation for the system is deduced and the energy flux density patterns corresponding to the propagating hybrid modes in the guide are analyzed by varying the radial dimensions of it. The efficacy of the use of DB-boundary is predicted in the form of power content of higher modes in the guide.     

Optical fibers with low nonlinearity and low polarization-mode dispersion for terabit communications

Refractive-index nonlinearities have negligible effect on the performance of short-haul fiber-optic communication links utilizing electronic repeaters. However, in long links, nonlinearities can cause severe signal degradations. To mitigate nonlinear effects, a new generation of fibers, referred to as large effective-area fibers, have been introduced in recent years. This paper reviews the latest research and development work on these fibers conducted by several research groups around the world. Attention is focused on a class of large effective-area fibers that are based on a depressed-core multiple-cladding design. Another important issue in long-haul and high capacity fiber optic systems is the polarization-mode dispersion (PMD) which has been recognized as a serious limiting factor. In this paper, an improved fiber design is proposed which, in addition to providing large effective-area and low bending loss, eliminates PMD due to elliptical deformation in the single-mode wavelength region. Furthermore, this design is allowed to provide a small chromatic dispersion about few ps/nmkm, in order to overcome four-wave mixing effects.     

A novel polarization splitter based on dual-core hybrid photonic crystal fibers

Highly birefringent dual-core photonic crystal fibers (PCFs) can be used as a polarization splitter because the orthogonal polarization modes with dissimilar coupling lengths are easily separated from each other. Different from the traditional methods achieving high birefringence, a new highly birefringent hybrid PCF that guides light by both index guiding and bandgap guiding is proposed. Firstly, a novel polarization splitter based on this kind of dual-core hybrid PCF is designed. The transmission modes, coupling lengths for the two orthogonal polarizations and performance of the proposed polarization splitter are investigated and numerically analyzed. The results demonstrate that it is possible to obtain a 4.72-mm-long polarization splitter. The splitting ratio is better than −20 dB in a large wavelength range of 1.53-1.72 μm. Its bandwidth is about 190 nm.     

An alternative method for plotting dispersion curves

Solving the frequency equation and plotting the dispersion curves in problems of wave propagation in cylinders and plates, particularly when the material is anisotropic, are complicated tasks. The traditional numerical methods are usually based on determination of the zeros of the frequency equation by using an iterative find-root algorithm. In this paper, an alternative method is proposed which extracts the solution of the frequency equation in the form of dispersion curves from the three-dimensional illustration of the frequency equation. For this purpose, a three-dimensional representation of the real roots of the frequency equation is first plotted. The dispersion curves, which are the numerical solutions of the frequency equation, are then obtained by a suitable cut in the velocity-frequency plane. The advantages of this method include simplicity, high speed, low possibility of numerical error, and presentation of the results in a graphical form that promotes ease of interpretation. This method is not directly applicable to problems which incorporate high damping or leaky waves. However, if the damping is not very high, it could be a good estimate of the true dispersion curves.     

椭圆芯非六角对称高双折射聚合物PCFs

采用全矢量平面波展开法,以聚合物PMMA为基材,研究了椭圆芯非六角对称聚合物光子晶体光纤（Photonic Crystal Fibers,PCFs）的传输模场和偏振特性,从理论上分析了其模式双折射和光纤结构参量的关系.研究结果表明,该PCFs基模的两个正交偏振态不再简并,模场呈现明显的椭圆并具有较强的线偏振特性;另外,该光纤的模式双折射强烈地依赖于光纤的结构参量,通过适当调节光纤的相对孔间距比,有望在给定波长范围内实现更高双折射单模运行.     

椭圆形高折射率芯Bragg光纤的偏振和色散特性

应用全矢量有限元方法,分析了椭圆形高折射率芯Bragg光纤的偏振和色散特性,详细讨论了光纤结构参量对模式双折射的影响,结果发现：椭圆形高折射率芯Bragg光纤的模式双折射在10－3量级,比传统保偏光纤高出一个量级,且随波长的增加而单调递增;模式双折射随包层低折射率材料填充比的增加而减小,但与包层周期的变化几乎无关.此外,提高椭圆率或材料间的折射率比可显著增强模式双折射.研究结果有助于设计高性能的一维微结构保偏光纤.     

Nanohybrids investigation by waveguide SNOM illumination mode

We demonstrate how optical waveguides can serve as a high resolution illumination source to image hybrid nano-objects in near field optical microscopy. Nanohybrid particles deposited on the surface of glass waveguides are imaged in terms of topography, scattering and fluorescence.