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PIER PIER B PIER C PIER M PIER Letters
2009-09-08
Fractional Rectangular Impedance Waveguide
By
Akhtar Hussain,

    Dr. Akhtar Hussain

    Department of Electronics

    Quaid-i-Azam University Islamabad

    Pakistan

    Homepage

Qaisar Naqvi

    Dr. Qaisar Naqvi

    Department of Electronics

    Quaid-i-Azam University

    Pakistan

    Homepage

Progress In Electromagnetics Research, Vol. 96, 101-116, 2009
doi:10.2528/PIER09060801
Abstract
Fractional rectangular impedance waveguide has been studied using fractional curl operator. Behavior of field inside the fractional rectangular impedance waveguide has been studied with respect to the original impedance of walls of the guide as well as fractional parameter. Analysis of the impedance of the walls as well as power distribution over the cross sectional plane of fractional impedance rectangular waveguide has been given. It has been found that fractional curl can be used to control the power distribution pattern over the cross sectional plane.
Citation
Akhtar Hussain, and Qaisar Naqvi, "Fractional Rectangular Impedance Waveguide," Progress In Electromagnetics Research, Vol. 96, 101-116, 2009.
doi:10.2528/PIER09060801
References

1. Oldham, K. B. and J. Spanier, The Fractional Calculus, Academic Press, New York, 1974.

2. Engheta, N., "Fractional curl operator in electromagnetics," Microwave and Optical Technology Letters, Vol. 17, No. 2, 86-91, Feb. 5, 1998.
doi:10.1002/(SICI)1098-2760(19980205)17:2<86::AID-MOP4>3.0.CO;2-E

3. Engheta, N., "Fractional paradigm in electromagnetic theory," Frontiers in Electromagnetics, Chapter 12, 523-552, D. H. Werner and R. Mittra (eds.), IEEE Press, 1999.

4. Engheta, N., "On fractional paradigm and intermediate zones in electromagnetism: I. Planar observation," Microwave and Optical Technology Letters, Vol. 22, No. 4, 236-241, Aug. 20, 1999.
doi:10.1002/(SICI)1098-2760(19990820)22:4<236::AID-MOP6>3.0.CO;2-8

5. Engheta, N., "On fractional paradigm and intermediate zones in electromagnetism: II. Cylindrical and spherical observations," Microwave and Optical Technology Letters, Vol. 23, No. 2, 100 -103, Oct. 20, 1999.
doi:10.1002/(SICI)1098-2760(19991020)23:2<100::AID-MOP12>3.0.CO;2-W

6. Engheta, N., "Use of fractional calculus to propose some fractional" solution for the scalar Helmholtz equation," Progress In Electromagnetics Research, PIER 12, 107-132, 1996.

7. 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

8. Egheta, N., "Note on fractional calculus and the image method for dielectric spheres," Journal of Electromagnetic Waves and Applications, Vol. 9, No. 9, 1179-1188, 1995.

9. Engheta, N., "Phase and amplitude of fractional-order interme-diate wave," Microwave and Optical Technology Letters, Vol. 21, No. 5, 338-343, 1999.
doi:10.1002/(SICI)1098-2760(19990605)21:5<338::AID-MOP10>3.0.CO;2-P

10. Naqvi, Q. A. and A. A. Rizvi, "Fractional solutions for the Helmholtz's equation in a multilayered geometry --- Abstract," Journal of Electromagnetic Waves and Applications, Vol. 13, No. 6, 815-816, 1999.
doi:10.1163/156939399X01384

11. Naqvi, Q. A., G. Murtaza, and A. A. Rizvi, "Fractional dual solutions to Maxwell equations in homogeneous chiral medium," Optics Communications, Vol. 178, 27-30, 2000.
doi:10.1016/S0030-4018(00)00651-9

12. Naqvi, Q. A. and A. A. Rizvi, "Fractional dual solutions and corresponding sources," Progress In Electromagnetics Research, PIER 25, 223-238, 2000.

13. Naqvi, Q. A. and M. Abbas, "Complex and higher order fractional curl operator in electromagnetics," Optics Communications, Vol. 241, 349-355, 2004.
doi:10.1016/j.optcom.2004.07.028

14. Naqvi, Q. A. and M. Abbas, "Fractional duality and metamaterials with negative permittivity and permeability," Optics Communications, Vol. 227, 143-146, 2003.
doi:10.1016/j.optcom.2003.08.041

15. Mustafa, F., M. Faryad, and Q. A. Naqvi, "Fractional dual solutions using calculus of differential forms," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 2-3, 399-410, 2008.
doi:10.1163/156939308784160721

16. Lakhtakia, A., "A representation theorem involving fractional derivatives for linear homogeneous chiral media," Microwave and Optical Technology Letters, Vol. 28, 385-386, 2001.
doi:10.1002/1098-2760(20010320)28:6<385::AID-MOP1048>3.0.CO;2-L

17. Veliev, E. I. and N. Engheta, "Fractional curl operator in reflection problems," 10th Int. Conf. on Mathematical Methods in Electromagnetic Theory, Ukraine, Sep. 4-17, 2004.

18. Veliev, E. I. and M. V. Ivakhnychenko, "Fractional curl operator in radiation problems," Proceedings of MMET*04, 231-233, Dniepropetrovsk, 2004.

19. Ivakhnychenko, M. V., E. I. Veliev, and T. M. Ahmedov, "New generalized electromagnetic boundaries fractional operators approach," Proceedings of MMET*06, 434-437, Kharkiv, 2006.

20. Ivakhnychenko, M. V. and E. I. Veliev, "Elementary fractional dipoles," Proceedings of MMET*06, 485-487, Kharkiv, 2006.

21. Ivakhnychenko, M. V., E. I. Veliev, and T. M. Ahmedov, "Fractional operators approach in electromagnetic wave reflection problems," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, 1787-1802, 2007.

22. Hussain, A. and Q. A. Naqvi, "Fractional curl operator in chiral medium and fractional nonsymmetric transmission line," Progress In Electromagnetics Research, 199-213, PIER 59, 2006.

23. Hussain, A., S. Ishfaq, and Q. A. Naqvi, "Fractional curl operator and fractional waveguides," Progress In Electromagnetics Research, PIER 63, 319-335, 2006.

24. Hussain, A., M. Faryad, and Q. A. Naqvi, "Fractional curl operator and fractional chiro-waveguide," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 8, 1119-1129, 2007.

25. Hussain, A. and Q. A. Naqvi, "Perfect electromagnetic conductor (PEMC) and fractional waveguide," Progress In Electromagnetics Research, PIER 73, 61-69, 2007.

26. Hussain, A., M. Faryad, and Q. A. Naqvi, "Fractional waveguide with impedance walls," Progress In Electromagnetics Research C, Vol. 4, 191-204, 2008.

27. Hussain, A., Q. A. Naqvi, and M. Abbas, "Fractional duality and perfect electromagnetic conductor (PEMC)," Progress In Electromagnetics Research, PIER 71, 85-94, 2007.

28. Naqvi, S. A., Q. A. Naqvi, and A. Hussain, "Modelling of transmission through a chiral slab using fractional curl operator," Optics Communications, Vol. 226, No. 2, 404-406, 2006.
doi:10.1016/j.optcom.2006.05.030

29. Hussain, A., M. Faryad, and Q. A. Naqvi, "Fractional dual parabolic cylindrical reflector," 12th International Conference on Mathematical Methods in Electromagnetic Theory, Odesa, Ukraine, Jun. 29-Jul. 2, 2008.

30. Faryad, M. and Q. A. Naqvi, "Fractional rectangular waveguide," Progress In Electromagnetics Research, PIER 75, 383-396, 2007.

31. Maab, H. and Q. A. Naqvi, "Fractional surface waveguide," Progress In Electromagnetics Research C, Vol. 1, 199-209, 2008.
doi:10.2528/PIERC08020801

32. Naqvi, Q. A., "Planar slab of chiral nihility metamaterial backed by fractional dual/PEMC interface," Progress In Electromagnetics Research, PIER 85, 381-391, 2008.

33. Naqvi, Q. A., "Fractional dual solutions to the Maxwell equations in chiral nihility medium," Optics Communication, Vol. 282, 2016 -2018, 2009.
doi:10.1016/j.optcom.2009.02.022

34. Naqvi, Q. A., "Fractional dual solutions in grounded chiral nihility slab and their effect on outside fields," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 5-6, 773-784, 2009.
doi:10.1163/156939309788019958

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

36. Ozaktas, H. M., Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing, Wiley, New York, 2001.

37. Machado, J. A. T., I. S. Jesus, A. Galhano, and J. B. Cunha, "Fractional order electromagnetics," Signal Processing, Vol. 86, No. 10, 2637-2644, Oct. 2006.

38. Debnath, L., "Recent applications of fractional calculus to science and engineering," (2003) International Journal of Mathematics and Mathematical Sciences, Vol. 54, 3413-3442, 2003.
doi:10.1155/S0161171203301486

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