Abstract-Earlier we considered the use of the apparatus of fractional derivatives to solve the twodimensional problem of diffraction of a plane wave on an impedance strip. We introduced the concept of a "fractional strip". A "fractional strip" is understood as a strip on the surface, which is subject to fractional boundary conditions (FBC). The problem under consideration on the basis of various methods has been studied quite well. As a rule, this problem is studied on the basis of numerical methods. The proposed approach, as will be shown below, makes it possible to obtain an analytical solution of the problem for values of fractional order ν = 0.5 and for fractional values of the interval ν ∈ [0, 1], the general solution will be investigated numerically.
Magnetic properties of thin films of three in-plane alloy systems, namely, Co40Ni40−xCrxB20, Co40Fe40−xNixB20, and Co40Fe40−xCrxB20 are investigated with a view to reducing the critical current density (jc) for spin transfer torque switching in MgO barrier magnetic tunnel junction nanopillars. In all three systems, the saturation magnetisation, Ms, decreases with increasing Cr or Ni substitution. The Co40Fe40−xCrxB20 alloy system is found to be the best in terms of reducing Ms, while maintaining a high tunnel magnetoresistance ratio. Ferromagnetic resonance experiments revealed that the damping coefficient of CoFeCrB alloy remains unchanged with increasing Cr content, but jc is reduced by a factor of four to 4.9 × 105 A/cm2 by using a Co40Fe32.7Cr7.3B20 free layer while maintaining a magnetoresistance of around 60 %.
The critical current density (J c ) of monofilament Cu/MgB 2 wire was measured between 4.2 and 30 K with a variable temperature insert (VTI) in a 20 T superconducting magnet using the DC pulse four-wire method with a 1 μV cm −1 criterion. The critical current density, J c , was measured to be 0.83 × 10 4 A cm −2 at 3 T at 21 K and 0.66 × 10 4 A cm −2 at 8 T at 4.2 K for the MgB 2 sample, which was annealed at 700 • C for 30 min with 5.8 • C min −1 heating rate under 4% H 2 -Ar gas flow. Scanning electron microscopy (SEM), electron dispersive spectroscopy (EDS) and x-ray diffraction (XRD) analysis were used to characterize the microstructure of the samples.
Perfect Electrical Conductor (PEC) metal strip analysis Solving of twodimensional problems with integral Analysis with using of diffraction theory
Theory and Methods:The integral-based solution obtained from this study is simulated according to the different medium permeability which is calculated with the electrical dimension varying depending on the frequency of the wave, and a graphical representation is provided. It is seen that the normalized current value at the ends of the strip is maximum for two different cases where the medium permeability is 20 and 30.
Results:Numerical results were observed by the solution of the system of linear algebraic equations (S.L.A.E.). Fig. 1 shows the normalized current distribution on the strip for ε=20. Fig. 2 shows the normalized current distribution on the strip for ε=30. In both cases we see that current has maximum on the edges.
Conclusion:In this article there was considered the problem of plane electromagnetic wave by the PEC strip. The theoretical background is given and after that theory is optimized for big number of ε. Some results are also given.
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