Two-dimensional periodicity in rectangular arrays

A Amir, G Benson - SIAM Journal on Computing, 1998 - SIAM
… Classifying arrays. Our goal here is classifying an array A into one of four periodicity
classes. For clarity of presentation we concentrate on square arrays. We later show how to …

Periodicity in rectangular arrays

G Gamard, G Richomme, J Shallit, TJ Smith - Information processing letters, 2017 - Elsevier
… m × n rectangular arrays A of elements chosen from the alphabet Σ. Our arrays are indexed
starting at position 0, so that A [ 0 , 0 ] is the element in the upper left corner of the array A. We …

Two-dimensional periodicity and its applications

A Amir, G Benson - Proceedings of the third annual ACM-SIAM …, 1992 - dl.acm.org
periodicity can be as important a tool in multidimensional matching. However, multidimensional
periodicity … and analysing two-dimensional periodicity in rectangular arrays. In addition, …

Analysis of multilayer infinite periodic array structures with different periodicities and axes orientations

AK Bhattacharyaa - IEEE Transactions on Antennas and …, 2000 - ieeexplore.ieee.org
… 1 where the layers have different periodicities. The elements of each layer … a rectangular
lattice structure. Suppose represents the overall periodicity (we will refer to as global periodicity

Periodicity matters: grating or lattice resonances in the scattering by sparse arrays of subwavelength strips and wires

VO Byelobrov, TL Zinenko… - IEEE Antennas and …, 2015 - ieeexplore.ieee.org
… large or infinite arrays made of subwavelength metallic and dielectric elements, and in all
wavelength ranges, we will concentrate our discussion around infinite arrays of circular silver …

Embedded Rayleigh–Bloch surface waves along periodic rectangular arrays

R Porter, DV Evans - Wave motion, 2005 - Elsevier
… in the presence of an infinite periodic array of obstacles of rectangular cross-section are …
not propagate energy away from the array. The periodicity of the array implies the existence of a …

[PDF][PDF] Periodicity Matters

K Kobayashi, AI Nosich - IEEE AntEnnAs & ProPAgAtIon MAgAzInE, 2015 - ire.kharkov.ua
… large or infinite arrays made of subwavelength metallic and dielectric elements, and in all
wavelength ranges, we will concentrate our discussion around infinite arrays of circular silver …

Revisiting the appearance of grating lobes for antennas with circular periodicity

V Manohar, Y Rahmat-Samii - IEEE Transactions on Antennas …, 2019 - ieeexplore.ieee.org
… On the other hand, the array factor for a rectangular array … the array factor for a circular
array and the array factor for a … the array factor of a rectangular array and the array factor of …

Multiple beams from planar arrays

P Angeletti - IEEE transactions on antennas and propagation, 2013 - ieeexplore.ieee.org
… theory the concepts of array elements’ periodicity with that of … can be generated from a
rectangular arrays and viceversa). The … between the periodicity of the array elements and the …

Fast and accurate MoM analysis of periodic arrays of multilayered stacked rectangular patches with application to the design of reflectarray antennas

R Florencio, RR Boix, JA Encinar - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
… in [25] for the interpolation of the regularized MPGF with 2-D periodicity, in this paper, we use
2-D … of regularized MPGF with 1-D periodicity). The resulting interpolating expressions for G …