Behavior of Electromagnetic Waves at Dielectric Fractal-Fractal Interface in Fractional Spaces

Omar, Muhammad Firdaus; Mughal, Muhammad Junaid

doi:10.2528/pierm12121903

Cited by 18 publications

(6 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The wave number of fractal medium is k F = ω √ µ and wave impedance η = µ = η 0 /n F .x,ŷ andẑ are the vectors, and exponential function is used to represent the propagation of the wave in x direction. Hankel function of the second kind is used for forward propagating (+z-axis) wave, and Hankel function of the first kind is used for reverse propagating (−z-axis) wave [14]. The subscripts n and nh define the order of the Hankel function and n = |3−D| 2…”

Section: Propagation Equationsmentioning

confidence: 99%

“…Lately, solutions to plane wave, differential electromagnetic (EM) wave, cylindrical wave and spherical wave in D-dimension fractional space are developed by Zubair et al [10][11][12][13]. Since then much work has been done on the propagation of waves in fractional dimension space [14][15][16][17][18][19]. Hence, complex structures can now be modeled with an exact solution.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Characteristics of Multilayered Metamaterial Structures Embedded in Fractional Space for Terahertz Application

Marwat¹,

Mughal²

2014

PIER

Self Cite

View full text Add to dashboard Cite

Abstract-This paper discusses the electromagnetic characteristics of a stratified metamaterial structure placed in fractional dimension space. Reflection and transmission coefficients for plane wave incident on multilayered structure in D-dimensional space are computed. Transfer matrix method is used to study the behaviour of different planer multilayered periodic metamaterial structures. The results are compared for integer and fractal dimensional spaces for both the cases of normal and oblique incidences. Classical results are recovered for integer dimensions. This work provides solution for examining the electromagnetic fields and waves in multilayered structures at fractal interfaces.

show abstract

Section: Propagation Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Characteristics of Multilayered Metamaterial Structures Embedded in Fractional Space for Terahertz Application

Marwat¹,

Mughal²

2014

PIER

Self Cite

View full text Add to dashboard Cite

show abstract

“…Similarly reflection co-efficient was analyzed at an interface which is developed when a half space of fractal meet another half space of non-fractal [19]. Also reflection from a fractal-fractal interface analyzed by Omar and Mughal [26]. This idea was utilized further by them in developing reflection and transmission coefficients for chiral-fractal dielectric interface where half space was assumed chiral and second half space as fractal.…”

Section: Introductionmentioning

confidence: 99%

General Solution for Waveguide Modes in Fractional Space

Khan¹,

Noor²,

Mughal³

2013

PIER M

Self Cite

View full text Add to dashboard Cite

Abstract-In this paper, general solution for the electric and magnetic fields are developed using the vector potentials A and F when the wave is propagating in fractional dimensional space. Different field configurations can be analyzed using the developed expressions for electric and magnetic fields, here we have analyzed TE z and TM z modes when the wave propagates in fractional space inside a rectangular waveguide. It is observed that wave propagation behavior in fractional space changes substantially from the non-fractional space. It is also observed that the obtained results show generalization of the concept of solutions for wave propagation from integer to fractional space. As a special case, when all the dimensions are considered integer, then all classical results are recovered.

show abstract

“…In order to minimize the size of a planar filter, fractal technique is often used [15][16][17][18][19]. Fractal geometries refer to highly complex structures, e.g., those of clouds, ocean floor, biological tissues, which cannot be described by the conventional Euclidean geometry.…”

Section: Introductionmentioning

confidence: 99%

“…However, a fractal geometry can be identified with few parameters because all fractals are self-similar and repeat themselves at different scales. Filters can be reduced in sizes by applying fractal rules to their layout [16,17]. In fact, fractals allow to create longer current lines on smaller surfaces.…”

Section: Introductionmentioning

confidence: 99%

Dual-Band Substrate Integrated Waveguide Resonator Based on Sierpinski Carpet

Chiapperino¹,

Castellano²,

Venanzoni³

et al. 2015

PIER C

View full text Add to dashboard Cite

Abstract-In this paper, a dual-band Substrate Integrated Waveguide (SIW) resonator with Sierpinski fractal geometry is proposed. The space-filling property of the employed fractal shape allows to reduce the resonator size. The bandwidth, the minimum insertion loss, the maximum return loss and the stop band rejection are considered for evaluating the effect of the fractal geometry on the resonator characteristics. An accurate electromagnetic investigation is made using a full wave finite element method solver (Ansoft HFSS). Simulated and measured results are in good agreement. The second iteration fractal resonator exhibits two simulated bands centered at the frequencies f 1 = 11.57 GHz and f 2 = 25.7 GHz, while the measured frequencies are f 1 = 11.33 GHz, f 2 = 23.67 GHz. The measured bandwidths are BW = 1.15 GHz and BW = 2 GHz and the minimum insertion losses are close to −1.36 dB and −1.97 dB, respectively. The prototypes of the square resonator without, with first and with second iteration fractal geometry are fabricated via standard printed circuit board process (PCB). A Rogers Duroid 5880 substrate with thickness t = 0.381 mm is employed.

show abstract

Behavior of Electromagnetic Waves at Dielectric Fractal-Fractal Interface in Fractional Spaces

Cited by 18 publications

References 16 publications

Characteristics of Multilayered Metamaterial Structures Embedded in Fractional Space for Terahertz Application

Characteristics of Multilayered Metamaterial Structures Embedded in Fractional Space for Terahertz Application

General Solution for Waveguide Modes in Fractional Space

Dual-Band Substrate Integrated Waveguide Resonator Based on Sierpinski Carpet

Contact Info

Product

Resources

About