Fractional Duality in Homogeneous Bi-Isotropic Medium

Naqvi, Sajid Abbas; Faryad, Muhammad; Naqvi, Qaisar Abbas; Abbas, Musarat

doi:10.2528/pier07090701

Cited by 16 publications

(7 citation statements)

References 32 publications

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Section: Previous Contributionsmentioning

confidence: 99%

Fields in Fractional Parallel Plate Db Waveguides

Hussain¹,

Naqvi²,

Illahi³

et al. 2012

PIER

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Abstract-Time harmonic electric and magnetic fields inside a parallel plate DB boundary waveguide are derived and fractional curl operator is utilized to study the fractional parallel plate DB waveguides.The DB boundary conditions are incorporated by assuming the behavior of boundary as perfect electric conductor (PEC) for transverse electric mode and perfect magnetic conductor (PMC) for transverse magnetic mode. For this purpose a general wave propagating inside the parallel plate wave waveguide is assumed and decomposed into TE and TM modes. Behavior of the fields and transverse impedances of the walls of guide are studied with respect to the fractional parameter describing the order of the fractional curl operator. The results are compared with the corresponding results for fractional waveguides with PEC walls.

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Section: Previous Contributionsmentioning

confidence: 99%

Fields in Fractional Parallel Plate Db Waveguides

Hussain¹,

Naqvi²,

Illahi³

et al. 2012

PIER

Self Cite

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“…The work on this topic entered into new era when concept of fractional transmission lines, fractional waveguides, and fractional resonator in electromagnetics were introduced [31][32][33][34][35][36][37][38][39][40] and nature of the modes supported by fractional dual waveguides and impedance of the walls were addressed. Modelling of transmission of electromagnetic plane wave through a chiral slab using fractional curl operator and fractional dual solutions in bi-isotropic medium are also available [41,42] After the introduction of nihility concept by Lakhtakia [43], Tretyakov incorporated the nihility conditions to chiral medium and proposed another metamaterial termed as chiral nihility metamaterial [44,45]. Chiral nihility is a metamaterial with following properties of constitutive parameters at certain frequency [45].…”

Section: Previous Contributionsmentioning

confidence: 99%

Fractional Parallel Plate DB Waveguides Using Fractional Curl Operator

Hussain¹,

Naqvi²,

Illahi³

et al. 2011

Preprint

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DB boundary conditions have been simulated in terms of perfect electric conductor (PEC) boundary for transverse electric modes and perfect magnetic conductor (PMC) for transverse magnetic modes. Electric and magnetic fields inside the dielectric region of a parallel plate DB boundary waveguide have been derived and fractional curl operator has been utilized to study the fractional parallel plate DB waveguide. Field behavior as well as transverse impedance of the guide walls have been studied with respect to the fractional parameter describing the order of fractional curl operator.The results are also compared with the corresponding results for fractional waveguides with PEC walls.

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“…Zhang and Zheng [19] established an algebraic eigenvalue problem for analyzing the propagation characteristics of electromagnetic waves inside the PBG Structure consisting of complex medium by using Bloch theorem and plane wave expansion. Naqvi et al [20] studied the dual solutions of Maxwell equations with the fractional calculus in bi-isotropic using the field decomposition approach. Wave propagation with both negative and positive phase velocity propagation was considered.…”

Section: Introductionmentioning

confidence: 99%

A Uniqueness Theorem for Initial-Boundary Value Problems in Tellegen Medium

Altan¹

2008

PIER C

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Uniqueness of the initial-boundary value problems for a Tellegen media is studied. Initial-boundary value problems for a Tellegen Medium are summarized for the sake completeness; the conservation of energy for such a medium is reviewed. Sufficient conditions are given for the positive definiteness of the energy stored in a Tellegen media due to the fields. It is shown that the if the energy stored in a Tellegen medium is positive definite, then an initialboundary value problem for a Tellegen media has only one solution, if it exists.

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Fractional Duality in Homogeneous Bi-Isotropic Medium

Cited by 16 publications

References 32 publications

Fields in Fractional Parallel Plate Db Waveguides

Fields in Fractional Parallel Plate Db Waveguides

Fractional Parallel Plate DB Waveguides Using Fractional Curl Operator

A Uniqueness Theorem for Initial-Boundary Value Problems in Tellegen Medium

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