Koch fractalized compact spiral antenna based on Fibonacci sequence

2016 ◽  
Author(s):  
Chetna Sharma ◽  
V. Dinesh Kumar
Keyword(s):  
Fibonacci Sequence ◽  
Spiral Antenna

scholarly journals Nature Inspired Fibonacci Sequence Microstrip Patch Antenna For Energy Harvesting Applications

2019 ◽  
Vol 8 (2) ◽  
pp. 6154-6160
Keyword(s):  
Energy Harvesting ◽  
Return Loss ◽  
Fibonacci Sequence ◽  
Surface Current ◽  
Microstrip Patch Antenna ◽  
Spiral Antenna ◽  
Microstrip Patch ◽  
S Parameter ◽  
Positive Gain ◽  
Voltage Doubler

In this paper, design and simulation of Nature Inspired Fibonacci sequence golden spiral antenna is presented. It is based on the snail’s shell structure which is frequently found in nature. The proposed antenna geometry has its unique design and it is used for energy harvesting applications. For energy harvesting applications rectenna is designed which has an antenna, matching circuit, voltage doubler circuit and load. The antenna is designed in CST (computer simulation technology) microwave studio software. Using CST software S-parameter, surface current, E-field, H-field are simulated and results are analyzed. The antenna is simulated in 3 GHz to 10 GHz frequency band and achieves multiband return loss characteristics and positive gain at respective frequencies

On the zero-multiplicity of the k-generalized Fibonacci sequence

2020 ◽  
Vol 26 (11-12) ◽  
pp. 1564-1578
Author(s):  
Jonathan García ◽  
Carlos A. Gómez ◽  
Florian Luca
Keyword(s):  
Fibonacci Sequence ◽  
Generalized Fibonacci Sequence

scholarly journals Note on some representations of general solutions to homogeneous linear difference equations

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Stevo Stević ◽  
Bratislav Iričanin ◽  
Witold Kosmala ◽  
Zdeněk Šmarda
Keyword(s):  
General Solution ◽  
Difference Equation ◽  
Difference Equations ◽  
Fibonacci Sequence ◽  
Linear Difference Equation ◽  
Linear Difference Equations ◽  
Second Order Difference Equation ◽  
Constant Coefficients ◽  
Order Difference Equation ◽  
Homogeneous Linear

Abstract It is known that every solution to the second-order difference equation $x_{n}=x_{n-1}+x_{n-2}=0$ x n = x n − 1 + x n − 2 = 0 , $n\ge 2$ n ≥ 2 , can be written in the following form $x_{n}=x_{0}f_{n-1}+x_{1}f_{n}$ x n = x 0 f n − 1 + x 1 f n , where $f_{n}$ f n is the Fibonacci sequence. Here we find all the homogeneous linear difference equations with constant coefficients of any order whose general solution have a representation of a related form. We also present an interesting elementary procedure for finding a representation of general solution to any homogeneous linear difference equation with constant coefficients in terms of the coefficients of the equation, initial values, and an extension of the Fibonacci sequence. This is done for the case when all the roots of the characteristic polynomial associated with the equation are mutually different, and then it is shown that such obtained representation also holds in other cases. It is also shown that during application of the procedure the extension of the Fibonacci sequence appears naturally.

scholarly journals Magnetic Normal Mode Calculations in Big Systems: A Highly Scalable Dynamical Matrix Approach Applied to a Fibonacci-Distorted Artificial Spin Ice

2021 ◽  
Vol 7 (3) ◽  
pp. 34
Author(s):  
Loris Giovannini ◽  
Barry W. Farmer ◽  
Justin S. Woods ◽  
Ali Frotanpour ◽  
Lance E. De Long ◽  
...  
Keyword(s):  
Normal Modes ◽  
Low Frequency ◽  
Fibonacci Sequence ◽  
Exchange Interactions ◽  
Geometric Distortion ◽  
Dynamical Matrix ◽  
Spin Ice ◽  
Magnetization Dynamics ◽  
Distortion Parameter ◽  
Artificial Spin Ice

We present a new formulation of the dynamical matrix method for computing the magnetic normal modes of a large system, resulting in a highly scalable approach. The motion equation, which takes into account external field, dipolar and ferromagnetic exchange interactions, is rewritten in the form of a generalized eigenvalue problem without any additional approximation. For its numerical implementation several solvers have been explored, along with preconditioning methods. This reformulation was conceived to extend the study of magnetization dynamics to a broader class of finer-mesh systems, such as three-dimensional, irregular or defective structures, which in recent times raised the interest among researchers. To test its effectiveness, we applied the method to investigate the magnetization dynamics of a hexagonal artificial spin-ice as a function of a geometric distortion parameter following the Fibonacci sequence. We found several important features characterizing the low frequency spin modes as the geometric distortion is gradually increased.

Spiral antenna with coplanar strip line feed

1992 ◽  
Vol 28 (23) ◽  
pp. 2130 ◽  
Author(s):  
H. Nakano ◽  
G. Hirokawa ◽  
J. Yamauchi ◽  
K. Hirose
Keyword(s):  
Strip Line ◽  
Spiral Antenna
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