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Articles

General solution for TEM, TE, and TM waves in fractional dimensional space and its application in rectangular waveguide filled with fractional space

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Pages 2298-2307 | Received 22 Apr 2013, Accepted 28 Aug 2013, Published online: 24 Sep 2013

References

  • StillingerFH. Axiomatic basis for space with noninteger dimension. J. Math. Phys. 1977;18:1224–1234.
  • SadallahM, MuslihSI. Solution of the equations of motion for Einstein’s field in fractional D-dimensional space-time. Int. J. Theor. Phys. 2009;48:3312–3318.
  • MuslihSI, AgrawalOP. A scaling method and its applications to problems in fractional dimensional space. J. Math. Phys. 2009;50:123501–123511.
  • MandelbrotB. The fractal geometry of nature. New York: W.H. Freeman; 1983.
  • PalmerC, StavrinouPN. Equations of motion in a noninteger-dimension space. J. Phys. A. 2004;37:6987–7003.
  • AshmoreJF. On renormalization and complex space-time dimensions. Commun. Math. Phys. 1973;29:177–187.
  • Tarasov VE. Continuous medium model for fractal media. Phys. Lett. A. 2005;336:167–174.
  • TarasovVE. Electromagnetic fields on fractals. Modern Phys Lett. A. 2006;21:1587–1600.
  • ZubairM, MughalMJ, NaqviQA, RizviAA. Differential electromagnetic equations in fractional space. Prog. Electromagn. Res. 2011;114:255–269.
  • ZubairM, MughalMJ, NaqviQA. On electromagnetic wave propagation in fractional space. Nonlinear Anal. B: Real World Appl. 2011;12:2844–2850.
  • ZubairM, MughalMJ, NaqviQA. The Wave equation and general plane wave solutions in fractional space. Prog. Electromagn. Res. Lett. 2010;19:137–146.
  • NaqviA, AhmedS, NaqviQA. Perfect electromagnetic conductor and fractional dual interface placed in a chiral nihility medium. J. Electromagn. Waves Appl. 2010;24:1991–1999.
  • ZubairM, MughalMJ, NaqviQA. An exact solution of spherical wave in D-dimensional fractional space. J. Electromagn. Waves Appl. 2011;25:1481–1491.
  • Zubair M, Mughal MJ, Naqvi QA. Electromagnetic fields and waves in fractional dimensional space, (Springer-Brifes in Applied Sciences and Technology), XII, 76, Springer, Germany, January 28, 2012.
  • AttiyaAM. Reflection and transmission of electromagnetic wave due to a quasi-fractional space slab. Prog. Electromagn. Res. Lett. 2011;24:119–128.
  • AsadH, ZubairM, MughalMJ. Reflection and transmission at dielectric-fractal interface. Prog. Electromagn. Res. 2012;125:543–558.
  • Mughal MJ, Zubair M. Fractional space solutions of antenna radiation problems: an application to hertzain dipole. IEEE 19th Conference on Signal Processing and Communications Applications (SIU), April 20–22, 2011. p. 62–65. doi:10.1109/SIU.2011.5929587.
  • Teng HT, Ewe H-T, Tan SL. Multifractal dimension and its geometrical terrain properties for classification of multi-band multi-polarised SAR image. Prog. Electromagn. Res. 2010;104: 221–237.
  • AngueraJ, DanielJP, BorjaC, MumbruJ, PuenteC, LeducT, SayegrihK, Van RoyP. Metallized foams for antenna design: application to fractal-shaped sierpinski-carpet monopole. Prog. Electromagn. Res. 2010;104:239–251.
  • SiakavaraK. Novel fractal antenna arrays for satellite networks: circular ring Sierpinski carpet arrays optimized by genetic algorithms. Prog. Electromagn. Res. 2010;103:115–138.
  • KarimMNA, RahimMKA, MajidHA, AyopOB, AbuM, ZubirF. Log periodic fractal koch antenna for UHF band appplications. Prog. Electromagn. Res. 2010;100:201–218.
  • BalanisCA. Advanced engineering electromagnetics. New York: Wiley; 1989.
  • Pozar DM. Microwave engineering. 4th ed. Hoboken (NJ): Wiley; 2012.
  • Hussain A, Faryad M, Naqvi QA. Fractional curl operator and fractional chiro-waveguide. J. Electromagn. Waves Appl. 2007;21:1119–1129.
  • Asad H, Mughal MJ, Zubair M, Naqvi QA. Electromagnetic Green‘s function for fractional space. J. Electromagn. Waves Appl. 2012;26:1903–1910.
  • Naqvi A, Hussain A, Naqvi QA. Waves in fractional dual planar waveguides containing chiral nihility metamaterial, J. Electromagn. Waves Appl. 2010;24:1575–1586.

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