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2011-06-08
Reflection and Transmission of Electromagnetic Wave Due to a Quasi-Fractional-Space Slab
By
Progress In Electromagnetics Research Letters, Vol. 24, 119-128, 2011
Abstract
A new method is introduced to construct a slab that has electric fields with propagation properties which are equivalent to a fractional-space wave equation in two-coordinate system. While its magnetic fields have propagation properties which are equivalent to the complementary fractional-space wave equation. Analytical forms for the reflection and transmission coefficients of this slab are derived. Results of these reflection and transmission coefficients show that such quasi-fractional-space slab has spatial and frequency selectivity properties.
Citation
Ahmed Attiya, "Reflection and Transmission of Electromagnetic Wave Due to a Quasi-Fractional-Space Slab," Progress In Electromagnetics Research Letters, Vol. 24, 119-128, 2011.
doi:10.2528/PIERL11051105
References

1. Hilfer, R., Applications of Fractional Calculus in Physics, World Scientific Publishing, 2000.
doi:10.1142/9789812817747

2. Sabatier, J., O. P. Agrawal, and J. A. Tenreiro Machado, Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, Springer, 2007.

3. Engheta, N., "Use of fractional integration to propose some `fractional' solutions for the scalar helmholtz equation," Progress In Electromagnetics Research, Vol. 12, 107-132, 1996.

4. Engheta, N., "On the role of fractional calculus in electromagnetic theory," IEEE Antennas and Propagation Magazine, Vol. 39, No. 4, 35-46, 1997.
doi:10.1109/74.632994

5. Naqvi, Q. A. and A. A. Rizvi, "Fractional dual solutions and corresponding sources," Progress In Electromagnetics Research, Vol. 25, 223-238, 2000.
doi:10.2528/PIER99051801

6. Lakhtakia, A., "A representation theorem involving fractional derivatives for linear homogeneous chiral media," Microwave and Optical Technology Letters, Vol. 28, No. 6, 385-386, 2001.
doi:10.1002/1098-2760(20010320)28:6<385::AID-MOP1048>3.0.CO;2-L

7. Naqvi, Q. A., "Fractional dual interface in chiral nihility medium," Progress In Electromagnetics Research Letters, Vol. 8, 135-142, 2009.
doi:10.2528/PIERL09032405

8. Hussain, A., Q. A. Naqvi, and M. Abbas, "Fractional duality and perfect electromagnetic conductor (PEMC)," Progress In Electromagnetics Research, Vol. 71, 85-94, 2007.
doi:10.2528/PIER07020702

9. Zubair, M., M. J. Mughal, Q. A. Naqvi, and A. A. Rizvi, "Differential electromagnetic equations in fractional space," Progress In Electromagnetics Research, Vol. 114, 255-269, 2011.

10. Zubair, M., M. J. Mughal, and Q. A. Naqvi, "The wave equation and general plane wave solutions in fractional space," Progress In Electromagnetics Research Letters, Vol. 19, 137-146, 2010.

11. Zubair, M., M. J. Mughal, and Q. A. Naqvi, "An exact solution of the cylindrical wave equation for electromagnetic field in fractional dimensional space," Progress In Electromagnetics Research, Vol. 114, 443-455, 2011.

12. Baleanu, D., A. K. Golmankhaneh, and A. K. Golmankhaneh, "On electromagnetic field in fractional space," Nonlinear Analysis: Real World Applications, Vol. 11, No. 1, 288-292, 2010.
doi:10.1016/j.nonrwa.2008.10.058

13. Ivakhnychenko, M. V. and E. I. Veliev, "Fractional operators approach in re°ection and diffraction problems," 8th International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services, TELSIKS, Vol. 254-257, No. 26-28, Sep. 2007.

14. Cheng, X., H. Chen, X.-M. Zhang, B. Zhang, and B.-I. Wu, "Cloaking a perfectly conducting sphere with rotationally uniaxial nihility media in monostatic radar system," Progress In Electromagnetics Research, Vol. 100, 285-298, 2010.
doi:10.2528/PIER09112002

15. Zhai, Y.-B. and T.-J. Cui, "Three-dimensional axisymmetric invisibility cloaks with arbitrary shapes in layered-medium background," Progress In Electromagnetics Research B, Vol. 27, 151-163, 2011.