scholarly journals Design of Binary-Sequence Zone Plates in High Wavelength Domains

Sensors ◽  
2018 ◽  
Vol 18 (8) ◽  
pp. 2604 ◽  
Author(s):  
José Fuster ◽  
Sergio Pérez-López ◽  
Pilar Candelas ◽  
Constanza Rubio
Keyword(s):  
Design Method ◽  
Binary Sequence ◽  
Additional Term ◽  
Binary Sequences ◽  
X Rays ◽  
Zone Plates ◽  
Acoustic Focusing ◽  
Sequence Method ◽  
High Flexibility ◽  
High Wavelength

The design of zone plates is an important topic in many areas of physics, such as optics, X-rays, microwaves or ultrasonics. In this paper, a zone plate design method, which provides high flexibility in the shaping of the focusing profile, is analyzed. This flexibility is achieved through the use of binary sequences that produce zone plates with different properties and applications. It is shown that this binary-sequence method works properly at low wavelengths, but requires a modification term to work accurately in high wavelength domains. This additional term extends this powerful design method to any wavelength. Simulation results show acoustic focusing profiles for Fresnel, Fibonacci and Cantor zone plates operating at a wavelength of 1.5 mm without any distortion.

scholarly journals On the Design of Soret Zone Plates Based on Binary Sequences Using Directional Transducers

Sensors ◽  
2021 ◽  
Vol 21 (18) ◽  
pp. 6086
Author(s):  
Pilar Candelas ◽  
Sergio Pérez-López ◽  
José Miguel Fuster
Keyword(s):  
Theoretical Model ◽  
Enhancement Factor ◽  
Critical Parameter ◽  
Binary Sequence ◽  
Transmission Efficiency ◽  
Binary Sequences ◽  
Experimental Measurements ◽  
Zone Plates

In this work, we analyze the effect of the distribution of transparent Fresnel regions over the focusing profile of Soret Zone Plates (SZP) based on binary sequences. It is shown that this effect becomes very significant in those fields where directional transducers are employed, such as microwaves or acoustics. A thorough analysis of both the SZP transmission efficiency and the focusing enhancement factor is presented. Moreover, experimental measurements are also carried out for a particular type of binary sequence, the Cantor ternary set, validating the theoretical model and demonstrating that the distribution of transparent Fresnel regions becomes a critical parameter in applications requiring directional emitters.

scholarly journals Quasi-Random Graphs, Pseudo-Random Graphs and Pseudorandom Binary Sequences, I. (Quasi-Random Graphs)

2019 ◽  
Vol 14 (2) ◽  
pp. 103-126
Author(s):  
József Borbély ◽  
András Sárközy
Keyword(s):  
Random Graphs ◽  
Adjacency Matrix ◽  
Binary Sequence ◽  
Binary Sequences ◽  
Circulant Graph ◽  
Large Families

AbstractIn the last decades many results have been proved on pseudo-randomness of binary sequences. In this series our goal is to show that using many of these results one can also construct large families of quasi-random, pseudo-random and strongly pseudo-random graphs. Indeed, it will be proved that if the first row of the adjacency matrix of a circulant graph forms a binary sequence which possesses certain pseudorandom properties (and there are many large families of binary sequences known with these properties), then the graph is quasi-random, pseudo-random or strongly pseudo-random, respectively. In particular, here in Part I we will construct large families of quasi-random graphs along these lines. (In Parts II and III we will present and study constructions for pseudo-random and strongly pseudo-random graphs, respectively.)

Fabrication of Multilayer Mirror Zone Plates and Gratings for Use with Soft X-Rays

1992 ◽  
pp. 118-121
Author(s):  
C. Khan Malek ◽  
T. Moreno ◽  
H. Berrouane ◽  
J. M. Andre ◽  
Ph. Guérin ◽  
...  
Keyword(s):  
X Rays ◽  
Multilayer Mirror ◽  
Zone Plates ◽  
Mirror Zone

scholarly journals High-Efficiency Gold Fresnel Zone Plates for Multi-keV X-rays

2011 ◽  
Author(s):  
S. Gorelick ◽  
J. Vila-Comamala ◽  
V. A. Guzenko ◽  
R. Barrett ◽  
M. Salomé ◽  
...  
Keyword(s):  
High Efficiency ◽  
Fresnel Zone ◽  
X Rays ◽  
Fresnel Zone Plates ◽  
Zone Plates

High resolution fresnel zone plates for soft x-rays

1994 ◽  
Vol 23 (1-4) ◽  
pp. 101-104 ◽  
Author(s):  
M. Baciocchi ◽  
R. Maggiora ◽  
M. Gentili
Keyword(s):  
High Resolution ◽  
Fresnel Zone ◽  
X Rays ◽  
Fresnel Zone Plates ◽  
Zone Plates

Sputtered-Sliced Multilayers: Zone Plates And Transmission Gratings For 8-kev X Rays

1988 ◽  
Author(s):  
R. M. Bionta ◽  
E. Ables ◽  
K. J. Cook ◽  
O. D. Edwards ◽  
P C. Gabriele ◽  
...  
Keyword(s):  
X Rays ◽  
Zone Plates

scholarly journals Some Algebraic Properties of Finite Binary Sequences

2016 ◽  
Vol 65 (1) ◽  
pp. 93-104 ◽  
Author(s):  
Małgorzata Filipczak ◽  
Tomasz Filipczak
Keyword(s):  
Binary Sequence ◽  
Fixed Number ◽  
Binary Sequences ◽  
Algebraic Properties

Abstract We study properties of differences of finite binary sequences with a fixed number of ones, treated as binary numbers from ℤ (2m).We show that any binary sequence consisting of m terms (except of the sequence (1, 0, . . . , 0)) can be presented as a difference of two sequences having exactly n ones, whenever .

scholarly journals High-efficiency zone-plate optics for multi-keV X-ray focusing

2014 ◽  
Vol 21 (3) ◽  
pp. 497-501 ◽  
Author(s):  
Istvan Mohacsi ◽  
Petri Karvinen ◽  
Ismo Vartiainen ◽  
Vitaliy A. Guzenko ◽  
Andrea Somogyi ◽  
...  
Keyword(s):  
Optical Transmission ◽  
High Efficiency ◽  
Fresnel Zone ◽  
Transmission Function ◽  
Zone Plate ◽  
X Rays ◽  
Fresnel Zone Plates ◽  
X Ray ◽  
Zone Plates ◽  
The Ideal

High-efficiency nanofocusing of hard X-rays using stacked multilevel Fresnel zone plates with a smallest zone width of 200 nm is demonstrated. The approach is to approximate the ideal parabolic lens profile with two-, three-, four- and six-level zone plates. By stacking binary and three-level zone plates with an additional binary zone plate, the number of levels in the optical transmission function was doubled, resulting in four- and six-level profiles, respectively. Efficiencies up to 53.7% focusing were experimentally obtained with 6.5 keV photons using a compact alignment apparatus based on piezoelectric actuators. The measurements have also been compared with numerical simulations to study the misalignment of the two zone plates.

Tapered tilted linear zone plates for focusing hard x-rays

2004 ◽  
Author(s):  
Leonidas E. Ocola ◽  
Joerg Maser ◽  
Stefan Vogt ◽  
Barry Lai ◽  
Ralu Divan ◽  
...  
Keyword(s):  
X Rays ◽  
Zone Plates

Concatenation of Legendre symbol sequences

2011 ◽  
Vol 48 (2) ◽  
pp. 193-204
Author(s):  
Katalin Gyarmati
Keyword(s):  
Binary Sequence ◽  
Binary Sequences ◽  
Legendre Symbol ◽  
Pseudorandom Binary Sequence ◽  
Symbol Sequences

In the applications it may occur that our initial pseudorandom binary sequence is not long enough, thus we have to take the concatenation of it with another pseudorandom binary sequences. Here we will consider concatenation of Legendre symbol sequences so that the resulting longer sequence has strong pseudorandom properties.

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