Reflection and Transmission at Dielectric-Fractal Interface

Asad, Hira; Zubair, Muhammad; Mughal, and Muhammad Junaid

doi:10.2528/pier12012402

Cited by 41 publications

(16 citation statements)

References 32 publications

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“…For a specific problem, we need to find out the solution for vector potential A z , and then applying proper boundary conditions after evaluating Equations (14) to (19) will lead us to the final expressions for E and H field components. This is demonstrated further in last Section.…”

Section: Construction Of General Solutions In Fractional Spacementioning

confidence: 99%

“…When a wave passes through a layer of fractal sandwiched between non-fractals then reflection and transmission will occur which was analytically modeled by Attiya [18]. 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].…”

Section: Introductionmentioning

confidence: 99%

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General Solution for Waveguide Modes in Fractional Space

Khan¹,

Noor²,

Mughal³

2013

PIER M

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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.

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Section: Construction Of General Solutions In Fractional Spacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

General Solution for Waveguide Modes in Fractional Space

Khan¹,

Noor²,

Mughal³

2013

PIER M

Self Cite

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“…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

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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.

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“…Nowadays, fractal technique [2,[7][8][9][10] attracts great attention of microwave researchers in designing new microwave circuits and improving circuit's performance. However, their works focus on antennas, not on filters.…”

Section: Introductionmentioning

confidence: 99%

Right-Angled Triangular Patch Resonator and Filter With Fractal Hole

Xiao¹,

Zu²,

Li³

et al. 2012

PIER B

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Abstract-Fractal-shaped microwave passive circuits offer a great deal of promise for achieving good performance in small circuits. In this paper, isosceles right-angled triangular patch resonator with fractal hole is analyzed, and new single-band and dual-band RF filters by using isosceles right-angled triangular patch resonators with fractal pattern are proposed. It is shown that the right-angled triangular resonator can be miniaturized with the assistance of a fractal, and filter performance is greatly improved. Simultaneously, the resonator's higher order mode resonance is fortified, easing off the difficulty in dual-band filter design. Two proposed fractal bandpass filters are fabricated, and their performance is verified by measurement. The proposed filters demonstrate the applications of right-angled triangular patch resonator and exhibit advantages of a simple structural topology and compactness, which are essential in RF circuit design.

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Reflection and Transmission at Dielectric-Fractal Interface

Cited by 41 publications

References 32 publications

General Solution for Waveguide Modes in Fractional Space

General Solution for Waveguide Modes in Fractional Space

Dual-Band Substrate Integrated Waveguide Resonator Based on Sierpinski Carpet

Right-Angled Triangular Patch Resonator and Filter With Fractal Hole

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