Analysis of Periodic and Aperiodic Coupled Nonuniform Transmission Lines Using the Fourier Series Expansion

Khalaj‐Amirhosseini, Mohammad

doi:10.2528/pier06072701

Cited by 34 publications

(27 citation statements)

References 15 publications

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“…Studies of various aspects of wave propagation in the Fibonacci quasiperiodic structures carried out in Refs. [24][25][26][27][28][29][30][31] have considerably improved our understanding of wave transport in the Fibonacci quasiperiodic structures.…”

Section: Introductionmentioning

confidence: 99%

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

Rahimi¹,

Namdar²,

Entezar³

et al. 2010

PIER

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Abstract-We investigate the transmission properties of the Fibonacci quasiperiodic layered structures consisting of a pair of double positive (DPS), epsilon-negative (ENG) or/and mu-negative (MNG) materials. It is found that there exist the polarization-dependent transmission gaps which are invariant with a change of scaling and insensitive to incident angles. Analytical methods based on transfer matrices and effective medium theory have been used to explain the properties of transmission gaps of DPS-MNG, DPS-ENG and ENG-MNG Fibonacci multilayer structures.

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Section: Introductionmentioning

confidence: 99%

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

Rahimi¹,

Namdar²,

Entezar³

et al. 2010

PIER

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“…Although the Fourier transform has already been used for spectral analysis of some periodic waveguide and grating structures [16,17], however, so far, we have not seen any published reports on the dependence of the spectral properties of these multilayer's on the physical parameters. In this paper, using the fast Fourier transform (FFT) method, we have studied the spectral properties of the Fibonacci quasi-periodic structures of various dimensions and various refractive index profiles.…”

Section: Introductionmentioning

confidence: 90%

SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES

Golmohammadi¹,

Moravvej-Farshi²,

Rostami³

et al. 2007

PIER

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Abstract-In this paper, spectral properties of the Fibonacci-class one-dimensional quasi-periodic structures, F C J (n), as an important optical structure are investigated. Analytical relations for description of the spectral properties of F C J (n) are used. Fast Fourier Transform (FFT) for investigation of the spectral properties of these structures is proposed. FFT spectrum of the Fibonacci-class one-dimensional quasi-periodic structures contains peaks that are equivalent to photonic bandgaps or multiband reflection filter. Based on the proposed relations and FFT simulation results, the optical bandgap and other properties of these structures are studied. In this paper, the effects of the optical and geometrical parameters on optical properties of the Fibonacci quasi-periodic structures are considered. Our proposed relations show that the spectral contents of the Fibonacci-class onedimensional quasi-periodic structures have two main terms including the low and high frequency parts. Our results illustrate that the high frequency term depends up on the class order, n, and the width of the layer B, d b , while the low frequency term depends on the width

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“…By definition, a CCITL possesses conjugate characteristic impedances Z ± 0 of waves propagating in the opposite directions along the transmission line. Examples of CCITLs are reciprocal lossless uniform TLs, nonreciprocal lossless uniform TLs [8][9][10], exponentially tapered lossless nonuniform TLs [2,11,12] and periodically loaded lossless TLs operated in passband [13][14][15][16][17][18]. Using the ABCD matrix technique, it can be shown that the equation of the input impedance at each terminal of loaded finite lossless periodic structures is in the same form as that of CCITLs [4].…”

Section: Introductionmentioning

confidence: 99%

Equivalent Graphical Solutions of Terminated Conjugately Characteristic-Impedance Transmission Lines With Non-Negative and Corresponding Negative Characteristic Resistances

Torrungrueng¹,

Lamultree²

2009

PIER

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Abstract-This paper presents the graphical solutions of conjugately characteristic-impedance transmission lines (CCITLs) implemented by periodically loaded lossless transmission lines (TLs), which can exhibit both non-negative (NNCR) and negative characteristic resistances (NCR) with the corresponding propagation constants. The standard T-chart and the extended T-chart are employed to solve CCITL problems with NNCR and NCR cases respectively, depending on the argument of CCITL characteristic impedances. The range of plotting of the standard T-chart and the extended T-chart is always inside or on the unit circle, and always outside or on the unit circle of the voltage reflection coefficient plane, respectively. Two examples of finite periodic TL structures providing both NNCR and NCR cases are given. It is found that both T-charts provide the same input impedance of the corresponding CCITLs as expected, and the standard T-chart is more familiar and easier to deal with.

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Analysis of Periodic and Aperiodic Coupled Nonuniform Transmission Lines Using the Fourier Series Expansion

Cited by 34 publications

References 15 publications

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES

Equivalent Graphical Solutions of Terminated Conjugately Characteristic-Impedance Transmission Lines With Non-Negative and Corresponding Negative Characteristic Resistances

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Analysis of Periodic and Aperiodic Coupled Nonuniform Transmission Lines Using the Fourier Series Expansion

Cited by 34 publications

References 15 publications

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES

Equivalent Graphical Solutions of Terminated Conjugately Characteristic-Impedance Transmission Lines With Non-Negative and Corresponding Negative Characteristic Resistances

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Product

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SPECTRAL ANALYSIS OF FIBONACCI-CLASS ONE-DIMENSIONAL ÂQUASI-Periodic STRUCTURES