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In this paper the method of lines is applied to simulate the electromagnetic field propagation in an optical dielectric nonlinear planar waveguide, with saturation of the refractive index. A comparison of the solutions obtained with the method of lines and the beam propagation method (which uses paraxial approximation) is performed 相似文献
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根据平面光波导损耗的波动理论,通过分析计算,对于传播损耗随波膜厚度的变化关系提出了新的看法,文中给出了一组以波导膜厚度为参变量的传播损耗曲线,说明在某些波导膜厚度范围内,不能有效地进行光波导传播。 相似文献
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Christos N. Capsalis Spyros N. Papadakis 《Journal of Infrared, Millimeter and Terahertz Waves》1989,10(9):1089-1092
The evolution of an optical pulse in a single-mode, step index dielectric slab waveguide which is characterized by an intensity dependent dielectric function in the core and cladding regions is treated by means of differential equation techniques. A cubic order non-linearity is considered. The electromagnetic field distribution in the slab waveguide region satisfies a non-linear wave equation. This field can be represented in terms of even TE guided modes with a slowly varying envelope amplitude function. Then using the well known approximation, based on the slowly varying character of the amplitude function, a non linear partial differential equation is obtained for the amplitude function. As the coefficients of this equation depend on the distance across the transverse direction X, an averaging technique over x is applied to reduce the nonlinear partial differential equation into a form that is easily transformed to the so-called non-linear Scroedinger differential equation. This equation is then attacked by means of the well known Inverse Scattering method in the case of reflection less potentials. The single and double soliton solutions are obtained explicitly for a single-mode slab waveguide. Finally numerical results are presented in the time domain. 相似文献
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M. D. Kovalev 《Journal of Communications Technology and Electronics》2010,55(3):325-329
Dispersion equations for the eigenvalues of effective refractive index β of a planar dielectric waveguide supporting an optic TE wave are investigated. A relation between the traditional dispersion equation obtained on the basis of the characteristic-matrix method and the so-called multilayer equation is revealed. It is shown that all of the roots of the traditional dispersion equation are roots of the multilayer equation for the same problem. It is found that the roots of the multilayer equation may include the values of the refractive indices of inner layers of the waveguide and that these values are not the eigenvalues of quantity β. 相似文献
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Nonlinear propagation in dielectric slab waveguides is discussed in the framework of a phase-plane approach. It is shown that qualitative aspects, such as integrals of motion in phase-plane, emerge from the analysis. Systematic consideration of these quantities narrows the range of possible solutions and provides a direct physical interpretation of them. Particularly suggestive, in this respect, are the interpretations of the appearance of higher order modes and of the energy/boundary conditions constraints typical of the nonlinear problem. Results for the TE and TM cases are presented 相似文献
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In the present work, the finite planar waveguide array problem is formulated as a matrix equation. It is shown that entries of the matrix are independent of the scan angles, and it is necessary to compute and invert the matrix only once in order to obtain information on the array Scanning operation at any angular position. It is also shown that the use of certain symmetry relations greatly reduces the computation time of the matrix entries. Finally, a numerical example is given to demonstrate the effectiveness of the matrix formulation in treating the finite array problem. 相似文献
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For the purpose of generating a quasi-plane wave and realizing small-antenna pattern measurements in the 12 GHz band, a planar-waveguide array antenna consisting of 45 WRJ-120 rectangular waveguides with 57 longitudinal slots on the broad wall of each waveguide is fabricated and tested. The dimensions of the antenna are about 1100 mm×1300 mm×850 mm, including the waveguide-supporting frame, the feed network, and the antenna-supporting pedestal. As an example, the H-plane pattern measurement of a small pyramidal horn antenna is conducted in a small chamber at 12 GHz. The pattern obtained in the compact range is compared with the corresponding data obtained outdoors 相似文献
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We present here a simple matrix method for obtaining propagation characteristics, including losses for various modes of an arbitrarily graded planar waveguide structure which may have media of complex refractive indices. We show the applicability of the method for obtaining leakage losses and absorption losses, as well as for calculating beat length in directional couplers. The method involves straightforward 2 × 2 matrix multiplications, and does not require the solutions of any transcendental or differential equations. 相似文献
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Much effort has been devoted in the past to the development of electromagnetic simulation algorithms for waveguide junctions that could at the same time include higher-order mode interactions and lead to computationally efficient codes. Even though this is indeed a classical subject, there is still a strong interest in this area as waveguide systems become increasingly complex, and ever shorter development and manufacturing times are required. In this paper a simple method is described for the evaluation of the multimode network representation of planar waveguide junctions in terms of admittance or impedance parameters. The key feature of the method is that it starts from the wanted final results, the equivalent network representation, in order to obtain an analytic expression for the evaluation of the relevant matrix elements. The procedure is based on general network theory and is equivalent to ideally measuring directly the value of the admittance or impedance elements. In this paper the evaluation procedure is fully described. Measured results of actual hardware are then compared with simulations indicating that the codes developed are indeed very accurate as well as computationally very efficient 相似文献
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An approximation technique of determining propagation characteristics of a given cross-section graded-index optical waveguide is presented. The numerical technique gives very short computational times and is easy to use. 相似文献
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The successful demonstration of a 1:4 power divider using microstrip probes and a WR-430 rectangular waveguide is presented. The 15-dB return loss bandwidth of the nonoptimized structure is demonstrated to be 22% and its 0.5-dB insertion loss bandwidth 26%. While realized through conventional machining, such a structure is assembled in a fashion consistent with proven millimeter and submillimeter-wave micromachining techniques. Thus, the structure presents a potential power dividing and power combining architecture, which through micromachining, may be used for applications well above 100GHz. 相似文献
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In this paper, we propose a technical alternative to the implementation of analog multistage switches that use optical beam shifters, in which 2-inputs adjacent ports are interconnected to 2-ouputs. The principle is based on the refraction of the extraordinary beam, in a planar liquid crystal waveguide, whose anisotropy can be electrically modified. We present here preliminary results and discuss the advantages and limitations of such a solution with respect to the conventional freespace switch based on the use of liquid crystal polarization controllers. In particular, we show that this solution can present some interesting advantages with respect to telecommunication system specifications, such as crosstalk, insertion losses and bandwidth range. Finally, we discuss possible technical improvements and intrinsic limitations. 相似文献
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本文报导了负胶-玻璃复合平面光波导传播特性的实验研究。测量并归纳了负胶介质薄层对银离子交换玻璃平面波导传播特性影响的实验趋势。介绍了弯曲条载波导的实验研究。 相似文献
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The propagation loss of Si/sub 0.9/Ge/sub 0.1//Si planar optical waveguides has been measured at wavelengths of 1.15 and 1.523 mu m. The results show that these waveguides have a low propagation loss (<1 dB/cm) at a wavelength of 1.523 mu m, which is due to the intrinsic absorption of SiGe whereas at a wavelength of 1.15 mu m its loss is determined by both the SiGe absorption edge and defects at the SiGe/Si interface.<> 相似文献
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Conventional 2×2 matrix techniques give an implicit dispersion relation for planar waveguides that involves multivalued functions. This multivalued form can cause complications and confusion. It is shown that it is possible to derive a single-valued form that avoids all such difficulties. The resulting formulation allows the unique identification of all the proper and improper modes of a structure and simplifies their numerical determination 相似文献
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本文实验观测了N_2激光泵浦平板染料波导的各种“被导”和“自导”特性,双程染料池在x方向是“被导”的;在y方向是“自导”的。 相似文献