Rigorous Expressions for the Equivalent Edge Currents

Umul, Yusuf Ziya

doi:10.2528/pierb09040104

Cited by 9 publications

(5 citation statements)

References 30 publications

(40 reference statements)

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“…Such a configuration creates the same radiated electromagnetic field with an electrical loop antenna at the observation point. Another example is the usage of the magnetic current densities in the equivalent source theorem, which is used for the investigation of the aperture antennas [17][18][19][20]. But this mathematical model does not give any physical insight about the existence or nature of the magnetic monopoles.…”

Section: The Memristive Mediummentioning

confidence: 99%

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Electric Charges That Behave as Magnetic Monopoles

Umul¹

2010

PIER Letters

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Abstract-The memristor theory of Chua [1] provides a connection with the charge and magnetic flux in an electric circuit. We define a similar relation for the electric and magnetic flux densities in electromagnetism. Such an attempt puts forward interesting results. For example, the magnetic charges do not exist in nature however the electric charges behave as the magnetic monopoles in special media. We support our theory with the results of the recent experiments on materials named as spin ice.

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Section: The Memristive Mediummentioning

confidence: 99%

“…ϕ is a scalar function. It is apparent that Equation (24) is analogous to Equation (20). The memristive medium remembers its latest state according to ∇ϕ as in a memristor [8].…”

Section: The Memristive Mediummentioning

confidence: 99%

Electric Charges That Behave as Magnetic Monopoles

Umul¹

2010

PIER Letters

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“…These equivalent field sources are constituted of superficial electric and magnetic currents located in the closed surface. The consideration of the currents of magnetic charges can be an excellent and effective mathematical procedure for calculating complex electromagnetic problems [16][17][18]. However, these procedures are developed in order to obtain more accuracy in the solutions of the Maxwell equations in very complex electromagnetic systems and do not try to assign independent phenomenology to these magnetic charges and currents.…”

Section: Introductionmentioning

confidence: 99%

“…Other lines of research of magnetic charges and magnetic currents have been developed for the calculation of the fields in the wave scattering of diffraction in the aperture antennas [16], in the studies on the memristors [17] and in the study of equivalent sources in the reconstruction of 3D surfaces [18]. These equivalent field sources are constituted of superficial electric and magnetic currents located in the closed surface.…”

Section: Introductionmentioning

confidence: 99%

Molecular Em Fields and Dynamical Responses in Solids With Magnetic Charges

Costa‐Quintana¹,

López‐Aguilar²

2011

PIER

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Abstract-The monopoles are theoretically defined as charges which produce fields whose divergence is, obviously, different from zero. However, the entities which have been experimentally detected in the spin-ices, with mimetic behavior to that of the magnetic monopoles, generate magneti c fields which seem to be compatible with ∇ · B = 0. This apparent contradiction can create confusion and therefore it requires explanation. In this paper we have carried out an analysis of the different electromagnetic fields in the spinices materials. We clarify the differences between the average fields of standard Maxwell equations with zero divergence even in spin-ices and the non macroscopic fields when there are magnetic monopoles in these materials. We give the molecular or local fields which allow us to determine the molecular polarizability. We combine the extended Clausius-Mossotti equations with the Lorentz-Drude model for obtaining the extended susceptibility and the optical conductivity which can be used for explaining the action of the electromagnetic fields in spin-ices.

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“…In [58,59], the method of equivalent currents (MEC) was derived by the asymptotics of the surface radiation integral of the physical theory of diffraction method. And the surface radiation integral was obtained from the exact solutions of the canonical wedge problem.…”

Section: Introductionmentioning

confidence: 99%

THE MODERN HIGH FREQUENCY METHODS FOR SOLVING ELECTROMAGNETIC SCATTERING PROBLEMS (Invited Paper)

Wu¹,

Chew²

2016

PIER

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Abstract-The high frequency scattering problems of electromagnetic fields scattered from electrically large scatterers are important and challenging. On the calculation of the reflected and diffracted wave fields, the high frequency methods could be classified into the current based method and the ray based method. In this paper, first, we give a review on the progress of the modern high frequency methods for solving the electromagnetic scattering problems. Next, due to the highly oscillatory property of the high frequency electromagnetic scattered fields, we propose the numerical steepest descent path method. Finally, we comprehensively address the high frequency wave physics, including the high frequency critical point contributions, the Keller's cone, the shadow and reflection boundaries and the creeping wave fields.

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Rigorous Expressions for the Equivalent Edge Currents

Cited by 9 publications

References 30 publications

Electric Charges That Behave as Magnetic Monopoles

Electric Charges That Behave as Magnetic Monopoles

Molecular Em Fields and Dynamical Responses in Solids With Magnetic Charges

THE MODERN HIGH FREQUENCY METHODS FOR SOLVING ELECTROMAGNETIC SCATTERING PROBLEMS (Invited Paper)

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