Compound radiating slots in a broad wall of a rectangular waveguide

An analysis is presented of the characteristics of a broad wall radiating slot, offset from the center line and tilted with respect to the longitudinal axis of a rectangular waveguide. Pertinent integral equations are developed, taking into account finite wall thickness, and are solved for the slot aperture E-field using the method of moments. Compound slot characteristics are then deduced, including resonant length and dominant mode scattering. Numerical results for the scattering from resonant slots are presented over a range of offsets, tilt angles, frequencies and waveguide dimensions. For resonant compound slots, offset and tilt are shown to control the aperture electric-field amplitude with a phase variability of 360°. The results have significant applications in the design of compound slot arrays     

S-matrix of a slot-coupled circular to rectangular waveguide T-junction

An analysis of a slot-coupled T-junction consisting of a circular to rectangular waveguide is presented. The Galerkin method of moments with entire domain sinusoidal basis functions is used to solve the slot aperture electric field integral equations taking into account finite wall thickness. The slot coupler characteristics are deduced, including resonant length and dominant mode scattering. The theoretical results on the magnitude of the s-parameters are compared with experimental results. The effect of the variation of diameter of the circular waveguide as well as the width of the slot on the resonant length of the slot is also studied.     

Resonant length of longitudinal slots and validity of circuit representation: Theory and experiment

Pertinent theory for the design of longitudinal slot arrays is reviewed and its dependence on the dominant mode scattering off a single slot is pinpointed. The critical need to know resonant length versus slot offset is emphasized and the desirability of determining this information theoretically rather than experimentally is argued. Then method of moments solutions are used to calculate resonant length versus slot offset for given waveguide dimensions and frequency. These theoretical results are compared to new, carefully obtained experimental data. Agreement is found to be so good, it is concluded that one can dispense with the costly gathering of experimental input data when designing longitudinal slot arrays fed by standard rectangular waveguide. A critical look is taken at the validity of representing the longitudinal slot as a shunt element on an equivalent transmission line. This assumption is found to be more and more questionable as thebdimension is reduced. For quarter-height guide, an alternate design procedure is suggested as being more accurate.     

Full-wave analysis of broad wall slot's Characteristics in rectangular waveguides

A rigorous analysis of the resonant characteristics for a broad wall waveguide slot by using the finite-difference time-domain method is presented. Four types of slots including a radiating longitudinal shunt slot, a longitudinal/transverse coupling slot, a centered-inclined coupling slot and a compound coupling slot are analyzed. Lots of slot characteristics such as the resonant length, scattering parameters and normalized admittance in different offsets, tilt angles or slot sizes are obtained. Because the shape of slots is a rectangle with rounded ends in practical fabrication, an accurate modeling and computation for the slots with rounded ends is implemented, and the resonant lengths calculated coincide well with the Stegen's measured data and method of moments results. From these computed results, it is found that all the resonant characteristics of the slots with rounded ends are significantly different from those with normal rectangular ends.     

波导宽边辐射缝隙的全波分析

使用时域有限差分法 (FDTD法 )对矩形波导上单个辐射缝隙的特性进行了严格分析 ,得出在不同缝隙偏置、缝隙宽度和波导壁厚条件下缝隙的谐振长度、散射参数以及等效归一化导纳等特性 ,并对‘谐振状态’的定义做了讨论 ,为高性能波导缝隙天线阵的设计提供参考     

Analysis of a centered-inclined waveguide slot coupler

Integral equations are developed for a centered-inclined coupling slot (including the effect of finite wall-thickness of the common broad-wall) and the slot-aperture electric intensity field is found using the method of moments. Numerical results for resonant length, backscattered wave amplitude, and phase variation off-resonance are presented over a range of values of the waveguide b dimension, wall thickness, slot width, and frequency. It is shown that the resonant length is relatively insensitive to slot tilt, &thetas;, for a standard-height X-band waveguide, whereas its dependence on &thetas; is significant for reduced-height waveguides. The phase variation of scattered TE₁₀ waves in both waveguides off-resonance is less for wider slots and smaller b dimensions. Shunt-series coupling slots exhibit greater phase variation off resonance when compared to a centred-inclined coupling slot. Also, the former has a longer resonant length for a smaller b dimension and for a wider slot. Thus the centred-inclined slot coupler possesses superior characteristics. The higher-order mode coupling between a centred-inclined slot coupler and a pair of straddling radiating slots in the branch waveguide is significant     

复合缝波导耦合器的全波分析

本文使用时域有限差分法 (FDTD法 )对由两根正交矩形波导构成的复合缝耦合器进行了严格分析 ,得出在不同偏置、倾斜角度和谐振频率下耦合缝隙的谐振长度和散射参量特性 ;并对带有短路器的复合缝波导耦合器系统进行了分析 ,得出短路片移动时该小系统的传输特性     

The design of small slot arrays

The differences in mutual coupling for a central slot and a peripheral slot cannot be ignored in small arrays if good patterns and impedance are to be obtained. A theory has been developed whereby the length and offset of every slot in the array can be determined, in the presence of mutual coupling, for a specified aperture distribution and impedance match. The theory enlarges on Stevenson's method, and uses a modified form of Booker's relation based on Babinet's principle to treat nonresonant longitudinal shunt slots in the broad wall of a rectangular waveguide. A general relation between slot voltage and mode voltage is developed, and then formulas are derived for the active, self-, and mutual admittances among slots. These formulas result in a design procedure. Analogous treatments of inclined series slots in rectangular guide and of strip-line-fed slots are possible. Comparison between various experiments and the theory is presented. Tests of the theory include the resonant length of a zero offset slot, resonant conductance versus offset and resonant conductance versus frequency for a single slot, and self- and mutual admittances for two staggered slots. The design and performance of a two-by-four longitudinal shunt slot array is also described.     

Compound coupling slots for arbitrary excitation of waveguide-fedplanar slot arrays

A resonant coupling slot cut in the common broad wall of two crossed rectangular waveguides is analyzed. The slot is offset from the center line and tilted with respect to the longitudinal axis of the main waveguide, whereas it is centered-tiled in the branch waveguide. It is shown that the slot offset and tilt control the branch waveguide excitation amplitude with a phase variability of 360°. Pertinent integral equations are developed, taking into account finite wall thickness. The integral equations are solved for the slot aperture electric field using the method of moments. Dominant mode scattering by the slot in both waveguides is obtained     

矩形波导宽壁复合缝隙耦合器的MPSTD算法分析

本文首先研究了多区域时域伪谱(MPSTD)算法应用于波导问题分析时的时域激励源设置方法。然后在此基础上,将MPSTD算法应用于矩形波导宽壁复合缝隙耦合器的分析。针对X波段半高波导,得出了耦合缝隙在不同高度、不同偏置和不同倾斜角度下的谐振长度和散射参量特性。仿真结果表明,将MPSTD算法应用于波导缝隙耦合器的分析,具有较高的计算效率和计算精度。同时该问题的MPSTD分析也拓展了MPSTD算法的应用领域,为准确、快速分析复杂波导问题的宽频时域特性提供了一种思路。     

Numerical analysis of centered-inclined coupling slots in rectangular waveguides

Numerical analysis is presented for the characteristic parameters of centered-inclined coupling slot in rectangular waveguides,taking into account the transverse distribution of the electric field across the slot aperture.Integral equations are formulated based on dyadic Green＇s function theories and solved using the method of moments.Trigonometric basis functions are adopted.It is found that the method will converge with up to ten basis functions.The characteristic parameters can be easily obtained for different slot sizes.Resonant length and resonant resistance of the coupling slots are calculated.It is shown that the calculated results have very high accuracy,compared with simulated results obtained from commercial software.Therefore,it can be effectively applied in the synthesis of antenna arrays.Effects of the transverse distribution on calculating resonant parameters of the coupling slot are also analyzed.The results show that if the transverse distribution of the electric field is neglected,the calculated error tends to become larger when the slot gets wider or thinner.     

Backscatter RCS for TE and TM excitations of dielectric-filledcavity-backed apertures in two-dimensional bodies

Transverse electric (TE) and transverse magnetic (TM) scattering from dielectric-filled, cavity-backed apertures in two-dimensional bodies are treated using the method of moments technique to solve a set of combined-field integral equations for the equivalent induced electric and magnetic currents on the exterior of the scattering body and on the associated aperture. Results are presented for the backscatter radar cross section (RCS) versus the electrical size of the scatterer for two different dielectric-filled cavity-backed geometries. The first geometry is a circular cylinder of infinite length which has an infinite length slot aperture along one side. The cavity inside the cylinder is dielectric filled and is also of circular cross section. The two cylinders (external and internal) are of different radii and their respective longitudinal axes are parallel but not collocated. The second is a square cylinder of infinite length which has an infinite length slot aperture along one side. The cavity inside the square cylinder is dielectric-filled and is also of square cross section     

正交矩形波导复合耦合槽特性分析

两个正交矩形波导公共宽边上偏离中心线的耦合斜槽称为复合耦合槽。考虑波导壁的厚度，根据等效原理和缝隙口面切向磁场的连续条件建立一对耦合积分方程，利用矩量法进行求解，给出复合耦合槽的谐振长度、散射参量随缝隙的倾角、偏离波导中心线距离的关系曲线     

Admittance of an isolated waveguide-fed slot radiating betweenbaffles using a spectrum of two-dimensional solutions

An efficient method of computing resonant length and admittance characteristics of an isolated broad-wall shunt slot radiating between baffles of finite height is presented. The outer three-dimensional (3D) field problem associated with this geometry is reduced to a two-dimensional (2D) one via a Fourier transformation with respect to the longitudinal z direction. For each value of the longitudinal wave number k_z an integral equation is solved for the E field in the mouth of the plates using the method of moments. This procedure is repeated for several discrete values of k_z, to obtain a spectrum of 2D solutions which are then inverse-transformed to construct the 3D solution in the spatial domain for the exterior baffle region and the half space. The slot aperture field is determined by the conventional moment method solution to the integral equation that enforces the continuity of the H field across the slot. Scattering properties of the slot are then deduced. Numerical results for the resonant length and resonant conductance are presented. Computer results are found to be in good agreement with experimentally measured data     

Admittance and resonant length of inclined slots in the narrow wallof a rectangular waveguide

The admittance properties and the resonant length of an inclined slot in the narrow wall of a rectangular waveguide have been investigated. The depth of cut of the slot in the broad walls of the waveguide has been taken into account. The internal power storage in evanescent modes in the waveguide, neglected in previous studies, is included. Theoretical results for the variations of conductance and resonant length with the angle of inclination of slots are presented. Through comparisons of the calculated results with previously available experimental data, the importance of the inclusion of the waveguide internal power storage is emphasized     

Studies on wide inclined slots in the narrow wall of rectangularwaveguide

Investigations of the resonant length and admittance of inclined slots in the narrow wall of a rectangular waveguide that are sufficiently wide for applications involving high power handling capacity are presented. For high accuracy, the integrals appearing in the expression for the self-reaction are evaluated numerically instead of attempting to derive closed-form expressions, which are applicable only to thin slots. Numerical data on the variation of resonant length with slot width and also on the variation of real and imaginary parts of the admittance with 2L/λ as well as frequency for wide slots are presented. Comparison between theory and experimental results is presented for a slot with a width of 1.6 mm and a depth of cut in both the broad walls of 2.23 mm     

The equivalent parameters for the radiating slot on a sectoralwaveguide

Formulas for the field components of the TE_pq, mode and the dominant mode TE₁₁ in a sectoral waveguide are given. Using the equivalence principle, the electric field distribution on the aperture surface of a narrow longitudinal slot cut in the curved broad wall of a sectoral waveguide is solved by the moment method (Galerkin's method). Important results such as the scattering parameters, the equivalent shunt admittance, and the resonant conductance and length are studied. The method used in this paper has good precision and has been adopted in the design of a linear slot array     

Analysis of longitudinal slots in rectangular waveguides

An accurate computation of the admittance characteristics of longitudinal shunt slots in a rectangular waveguide is presented. A moment method with entire basis functions is used for solving the electric field in the slot. The waveguide wall thickness is accounted for by introducing higher order waveguide modes in the short waveguide connecting the inner and outer regions. Particular attention is given to the resonant length of the slot, which is a critical parameter in the design of waveguide slot array antennas. Computed resonant lengths compare very well with measured results.     

Resonant conductance of inclined slots in the narrow wall of a rectangular waveguide

A method to determine the admittance and resonant length of an inclined slot in the narrow wall of a rectangular waveguide is presented. An expression for the admittance of the slot is derived using an angular spectrum of planewaves and the discontinuity in modal current. When the depth of cut in the top and bottom wall is assumed to be zero, the expression for resonant conductance found by the present method is exactly the same as that obtained by Stevenson. Comparison between the theoretical and experimental results on the variation of resonant conductance with angle of inclination of slots for a fixed depth of cut of 3.5 mm is presented.     

The input admittance of the rectangular cavity-backed slot antenna

The input admittance of the rectangular cavity-backed slot antenna is investigated. The slot is assumed narrow so that the voltage distribution in its aperture is sinusoidal. Equations which represent the input admittance of this slot, backed by a rectangular cavity in which a single propagating wave is assumed to exist, are given. Calculations based on these representations are compared to available measured data. As the depth of the cavity increased the resonant frequency decreased and the bandwidth became narrower. Input admittance curves as a function of electrical slot length are also presented for several size cavities.