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Journal ArticleDOI

A new technique of synthesis of the near- or far-field patterns of arrays

TLDR
In this paper, a unified approach for synthesizing the near or far-field radiation patterns of an array of uniformly or non-uniformly spaced point sources or directive elements located on a planar contour of arbitrary shape is presented.
Abstract
A unified approach for synthesizing the near- or far-field radiation patterns of an array of uniformly or nonuniformly spaced point sources or directive elements located on a planar contour of arbitrary shape is presented. The synthesis problem is formulated employing the free-space Green's dyadic as well as the translational and rotational addition theorems for spherical vector wave functions. A similar unified approach for synthesizing the near- or far-field radiation patterns of a uniformly or nonuniformly spaced linear array of point dipoles is also presented. The validity of the technique presented is established with several typical numerical illustrations.

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Citations
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Journal ArticleDOI

Near-Field-Focused Microwave Antennas: Near-field shaping and implementation.

TL;DR: In this paper, the basic working principles and applications of the NF-focused (NFF) microwave antennas as well as the synthesis procedures suggested for the NF shaping around the focal point and the technologies currently used for their implementation are discussed.
Journal ArticleDOI

A technique of synthesizing the excitation currents of planar arrays or apertures

TL;DR: In this article, a technique of synthesizing or reconstructing the excitation currents of a planar array of aperture-type antennas from the known near-field patterns of the radiating source is presented.
Journal ArticleDOI

Synthesis of near-field patterns of arrays

TL;DR: In this article, a new technique of synthesis of near-field amplitude and phase patterns of linear, planar, of volume arrays of finite size or arrays located on a planar contour of a finite size is presented.
Journal ArticleDOI

Spherical-Wave-Based Shaped-Beam Field Synthesis for Planar Arrays Including the Mutual Coupling Effects

TL;DR: In this paper, an analytical method to synthesize shaped-beam patterns with planar arrays, based on the handling of spherical waves, is proposed, which only requires the a priori knowledge of the Generalized Scattering Matrix of each array element considered as isolated from the rest of the array elements.
Journal ArticleDOI

Synthesis of near-field patterns of a nonuniformly spaced array

TL;DR: In this paper, a technique of synthesis of near-field patterns of a nonuniformly spaced linear array of point dipoles with identical direction of current flow for each array element, or a uniformly spaced array of points with variation in direction for each dipole is presented.
References
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Journal ArticleDOI

Translational addition theorems for spherical vector wave functions

TL;DR: In this article, the authors derived translation theorems for spherical vector wave functions in a reduced form by the use of formulas relating the coefficients that arise in expansion of the product of two associated Legendre functions.
Journal ArticleDOI

Addition theorems for spherical wave functions

TL;DR: In this paper, the vector wave function addition theorems are based on corresponding theorem for the spherical scalar wave functions, which are the characteristic solutions in spherical coordinates of vector wave equation, such as occurs in electromagnetic problems.
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Multiple scattering of EM waves by spheres part I--Multipole expansion and ray-optical solutions

TL;DR: In this article, a new recursion relation is derived which reduces the computation effort by several orders of magnitude so that a quantitative analysis for spheres as large as 10 λ in radius at a spacing as small as two spheres in contact becomes feasible.
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Sidelobe reduction by nonuniform element spacing

TL;DR: In this article, a perturbational procedure for reducing the sidelobe level of discrete linear arrays with uniform amplitude excitation by using nonuniform element spacing is presented, and the calculation of the required element spacings is quite simple.
Journal ArticleDOI

Near-field far-field transformations using spherical-wave expansions

TL;DR: In this article, the authors used spherical-wave expansions as a numerical technique for expressing arbitrary fields specified by analytical, experimental, or numerical data, and found that the generally accepted wave order cutoff value corresponds to 99.9 percent or more of the power in the input pattern.
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