Radiation patterns of the HE11 mode and Gaussian approximations

The problem of the approximation of the HE₁₁ radiation pattern by a Gaussian distribution is discussed. A numerical comparison between the HE₁₁ far-field theoretical pattern, and the Gaussian approximations derived by Abrams and by Crenn, permits and evaluation of the precision of these approximations. A new optimized HE₁₁ Gaussian approximation is calculated: the value of r_o=0.421a (or w_o=0.596a) for the beam radius at the waist is demonstrated to give the best HE₁₁ Gaussian approximation in the far-field and is very close to the result given by Crenn, while the Abrams value is less precise. The calculations are extended to the near-field. Universal curves for intensity, amplitude and power distribution are given for the HE₁₁ radiated mode. These results are of interest for laser waveguide applications and for plasma ECRH transmission systems.     

Computer-aided analysis and design of corrugated TE11 to HE11 mode converters in highly overmoded waveguides

A theoretical and experimental study of TE11-to-HE11 mode conversion in highly oversized waveguides is given. The balanced HE11 hybrid mode propagating in a circumferentially corrugated circular waveguide is in many respects ideal for effective electron cyclotron resonance heating of fusion plasmas with high-power gyrotrons. At an aperture antenna it exhibits desirable radiation characteristics such as linear polarization with very low cross polarization and axisymmetric power distribution with low sidelobe levels. This Gaussian-like mode can be generated from a TE11 mode by means of a corrugated mode converter in which the depth of the annular slots is tapered gradually from one-half to one-quarter wavelength. Computer-aided optimization of converter length, shape of corrugations, and of non-linear slot depth variation for 28 GHz- and 70 GHz-transducers was achieved with a scattering matrix formalism employing the modal field expansion technique (Modular Analysis Concept). In both cases the measured conversion efficiency of (98.5±0.5)% and the experimental values of the maximum cross polarization (below –28 dB) are in very good agreement with the predicted values. High-power operation was successfully demonstrated using pulsed 28 GHz- and 70 GHz-VARIAN gyrotrons (200 kW).     

Generation of the Gaussian-like HE11 mode from gyrotron TEOn mode mixtures at 70 GHz

This work reports calculations and measurements on mode converters for the transformation of TEOn gyrotron mode mixtures (primarily TEO2) into the linearly polarized HE11 hybrid mode at 70 GHz. This mode is ideal for quasi-optical launching systems for ECRH of plasmas. Mode transducers with axisymmetric radius perturbations convert the gyrotron TEOn mode composition into the TEO1 mode. Proper matching of the phase differences between the various modes and of the perturbation amplitudes of the several converter sections is required. The TEO1 wave is used for long-distance transmission through smooth-walled overmoded waveguides. A mode converter with constant diameter and periodically perturbed curvature transfers the unpolarized TEO1 mode into the polarized TE11 wave. The experimentally determined TEOn-to-TEO1 conversion efficiency is (98.5±1)% (99% predicted) while the TEO1-to-TE11 transformer has a (94±2)% efficiency (93% theoretically); ohmic losses are included. The Gaussian-like HE11 mode with axisymmetric power distribution and almost no cross polarization is produced in a circumferentially corrugated TE11-to-HE11 mode transducer with a measured conversion efficiency of (98.3±1.5)% (98.5% predicted). The overall efficiency of the complete mode converter system in the desired mode was determined to be (91±2.5)%. High-power operation (200kW, 100ms) has been successfully demonstrated.     

Optical propagation of the HE11 mode and Gaussian beams in hollow circular waveguides

The propagation of the HE₁₁ mode and Gaussian beams in hollow oversized circular waveguides is analyzed using optical theories. Different types of waveguides are considered : hollow dielectric or conducting waveguides, dielectric-lined waveguides, corrugated waveguides. General formulas are derived which give the power transmission through these different guides. The best wall materials and structures are determined from a comparison of the waveguide transmissions, at the infrared and millimeter wavelengths. The question of the coupling between the HE₁₁ mode and Gaussian beams is discussed and from a review of coupling coefficients derived before, an optimum value is pointed out. The problem of matching a Gaussian beam into circular waveguides in order to achieve the maximum power transmission is analyzed. These results are of interest for infrared lasers or waveguide applications and for Electron Cyclotron Wave (ECW) systems at the millimeter wavelength.     

Polarizer with Nonrectangular Grooves in the HE11 Mode Transmission Line

This paper presents experimental results on polarizers with nonrectangular grooves to be used in high power millimeter wave transmission lines for electron cyclotron heating (ECH) of fusion plasmas. A low-power test at a frequency of 106.4 GHz has been carried out for several polarizers with different groove depths. The polarization characteristics experimentally measured are in good agreement with numerical results in which the actual groove shape functions are taken into account. This confirms the design optimization for future polarizer. Favorable results have also been obtained in a 400 kW-level high-power test for the polarizer installed in an ECH transmission line of the Heliotron-E plasma device.     

用八孔耦合器识别TM0_(1)/TE_(11)混模中TE_(11)模式的方法北大核心CSCD

在高功率微波传输系统中,为了提高功率容量和效率,往往采用过模波导,因此圆波导中往往出现TM_(01)和TE_(11)混合模式的情况。采用角向均匀分布的8孔圆波导耦合器,对提取TE_(11)模式的混合比和极化角度的方法进行了分析和研究。分析了圆波导中TM_(01)和TE_(11)模式在耦合孔处的电场分布,并采用CST对各耦合孔的输出功率进行了模拟计算,得出相互正对的耦合孔的平均功率与8个孔的平均功率之比与模式之间的相位差无关的结论。同时,发现该比值与TE_(11)模式的混合比成线性关系,线性关系中的比例系数是极化角度线性函数。通过线性拟合获得了计算TE_(11)模式混合比和极化方向的表达式。与仿真设定的参数相比,用该表达式计算的结果表明,在TE_(11)模式混合比小于30%时,用其计算TE_(11)模式的混合比和极化角度是可行的,误差不超过10%。在此基础上,给出了实际情况下TE_(11)模式信息的具体判断方法。     

Single mode optical fiber characterisation by the LP11 mode radiation pattern

We describe a method for determining the V-value from the far-field radiation pattern of dual mode optical fibers (this method is an extension of the work by Gambling et al. for the LP₁₁ modes). The method involves measurements of the maximum radiation angle and the angle of the first minimum. Curves are presented which can be used with dual mode fibers, determining the core diameter, the refractive index difference between core and cladding, as well as the V-value in the single mode regime for longer wavelength operation with the help of dispersion curves of the dopant materials.     

Compact HE11 to surface wave converters for high power waveguide dummy loads

The HE₁₁ mode in corrugated circular waveguide can be converted to the EH₁₁ mode (surface wave) by a short, smooth-waveguide phase shift section followed by a short corrugation depth taper. Low-power measurements at 110 GHz in 1.25 in. aluminum waveguide demonstrated approximately 99% conversion with the proper phase shift length. As expected, the conversion efficiency versus length of the phase shifter varied periodically with the period of the TE₁₁ to TM₁₁ beat wavelength. Since the EH₁₁ surface wave is highly attenuated, this type of converter can be used effectively in a compact high-power dummy load.     

Experimental investigation of a compact relativistic magnetron with axial TE11 mode radiation

As one of the relativistic electron tubes having compact configuration and high efficient output, the relativistic magnetron with direct axial radiation is very attractive in pulsed power and high power microwave fields for industrial and military applications. In this paper, the experimental investigation of a relativistic magnetron with axial TE11 mode radiation is reported. Under a total length of - 0.3 m, volume of - 0.014 m3, working at an applied voltage of 508 kV and a magnetic field of - 0.31 T, the relativistic magnetron radiates a microwave of 540 MW with the TE11 mode at 2.35 GHz in the axial direction. The power conversion efficiency is 15.0%. After a lot of shots, the detected amplitudes of microwaves are nearly the same. The fluctuations of wave amplitudes are less than 0.3 dB.     

高功率速调管TE11-HE11模式变换器的设计及实验验证

基于模式匹配法编制了分析内壁刻槽TE11-HE11圆波导模式变换器数值计算程序;采用该程序为工作频率为30.5 GHz的高功率速调管设计了一半径为16 mm的TE11-HE11模式变换器。计算表明该变换器在2.6%的带宽内转换效率在98.8%以上,实验结果表明该变换器性能良好。     

The measurement of the phase constant of EH11 mode in the hollow dielectric waveguides

In this paper, we presented the results of experiments of propagation phase shift in the hollow dielectric waveguides of the radius a20 with farinfrared laser (wave length =0.337mm). The experimental results agree well with theoretical expecting values. The results also show that it is to exist a coupling length between TEM_oo mode and the funtamental hybrid waveguide EH₁₁ mode. The coupling length is obtained from our measurement.     

高功率速调管TE_(11)-HE_(11)模式变换器的设计及实验验证

基于模式匹配法编制了分析内壁刻槽TE11-HE11圆波导模式变换器数值计算程序;采用该程序为工作频率为30.5GHz的高功率速调管设计了一半径为16mm的TE11-HE11模式变换器。计算表明该变换器在2.6%的带宽内转换效率在98.8%以上,实验结果表明该变换器性能良好。     

回旋速调管变周期TE01-TE11模式变换器

针对蛇形圆波导变换器尺寸大和带宽窄的不足,提出了变周期蛇形圆波导模式变换器,以实现TE01到TE11模式的高效率转换。根据耦合波方程,编制了优化计算程序,对工作于30.5 GHz、半径为16 mm的变周期以及传统蛇形变换器几何结构分别进行了优化计算,得到了可实现最高模式变换效率的几何参量。计算结果表明:传统结构变换器最优长度长达1 056.97 mm,转换效率98.1%,90%以上转换带宽也仅为3.3%;变周期变换器最优长度为769.53 mm,转换效率为99.3%,90%以上转换带宽为5.9%。变周期结构相对于传统结构的模式变换器具有尺寸小和带宽宽的明显优势。测试表明所提出的模式变换器具有良好的模式变换性能。     

TE01-TE11模式转换器的带宽特性

针对模式转换器设计中在相同的中心频点转换效率下模式转换器越短带宽越宽的传统观点,研究发现了最佳长度的存在,即当结构长度大于最佳长度时,带宽随着结构长度增加而减小,当结构长度小于最佳长度时,带宽随着结构长度增加而增加。通过对中心频率35 GHz、半径13.6 mm的TE01-TE11模式转换器进行的验证发现,最佳长度为550 mm,此时带宽达到最大值6.28%。     

TE01-TE11模式转换器的带宽特性

针对模式转换器设计中在相同的中心频点转换效率下模式转换器越短带宽越宽的传统观点,研究发现了最佳长度的存在,即当结构长度大于最佳长度时,带宽随着结构长度增加而减小,当结构长度小于最佳长度时,带宽随着结构长度增加而增加。通过对中心频率35 GHz、半径13.6 mm的TE01-TE11模式转换器进行的验证发现,最佳长度为550 mm,此时带宽达到最大值6.28%。     

回旋速调管变周期TE01-TE11模式变换器

针对蛇形圆波导变换器尺寸大和带宽窄的不足,提出了变周期蛇形圆波导模式变换器,以实现TE01到TE11模式的高效率转换。根据耦合波方程,编制了优化计算程序,对工作于30.5 GHz、半径为16 mm的变周期以及传统蛇形变换器几何结构分别进行了优化计算,得到了可实现最高模式变换效率的几何参量。计算结果表明：传统结构变换器最优长度长达1 056.97 mm,转换效率98.1%,90%以上转换带宽也仅为3.3%;变周期变换器最优长度为769.53 mm,转换效率为99.3%,90%以上转换带宽为5.9%。变周期结构相对于传统结构的模式变换器具有尺寸小和带宽宽的明显优势。测试表明所提出的模式变换器具有良好的模式变换性能。     

Wave-matching method for mode analysis of dielectric waveguides

Frequently the cross-section of a longitudinally homogeneous dielectric waveguide may be decomposed into rectangles with constant permittivity. For points inside these rectangles the wave equation for modal fields is solved analytically by expanding into functions with harmonic or exponential dependence on the transverse coordinates. Minimization of a least-squares expression for the remaining misfit on the boundary lines allows us to determine propagation constants and fields for guided modes. Semivectorial calculations for two sets of rib waveguides and the centre sections of a directional coupler and an MMI device show very good agreement with results found in the literature. This revised version was published online in November 2006 with corrections to the Cover Date.     

Simultaneous analysis of the microwave and infrared spectra of 14ND3 and 15ND3 for the ν2 excited state

The data on the inversion spectrum in the ν₂ state of ¹⁴ND₃ [F. Scappini, A. Guarnieri, and G. DiLonardo, J. Mol. Spectrosc.95, 20–29 (1982)] have been extended by measuring frequencies of 25 new transitions. A simultaneous least-squares analysis of these data with the ground state microwave transition frequencies and the diode laser measurements of the ν₂ band has been carried out. Improved sets of molecular parameters have been obtained for ¹⁴ND₃ and ¹⁵ND₃, including the ground and ν₂ state inversion splittings, ν₂ band origins, rotational and centrifugal distortion constants, and the parameters of the Δk = ±3n vibrational-rotational interactions.     

Far Field Calculations and Measurements of an S-Bend Deformed Oversized HE11-Waveguide Antenna

The mode conversion in an s-bend deformed HE₁₁ waveguide is calculated. With the mode mixture at the end of the waveguide, the corresponding far-fields for different waveguide lengths are calculated and compared with measurements. Optimisations of the total waveguide length and diameter are performed.     

Numerical modelling of 8mm TM01-TE11 mode converter

A numerical study of TM₀₁-TE₁₁ circular waveguide mode converter, with its optimized size and structure, is presented in this paper. Many factors such as spurious modes, backward wave, perturbation functions of waveguide axis or radius, phase-rematching techniques and ohmic losses are taken into account for the influence to mode converter's efficiency and bandwidth. And the dimensions of an optimized model (f₀=35GHz. with input and output radius a₀=13.6mm) are given.