Application of the method of auxiliary sources to the wide-band electromagnetic induction problem

Shubitidze, Fridon; O’Neill, Kevin; Haider, Shahid A.; Sun, Keli; Paulsen, Keith D.

doi:10.1109/tgrs.2002.1006378

Cited by 101 publications

(77 citation statements)

References 19 publications

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“…Typically, monopoles are used for two-dimensional scattering problems and Hertzian dipoles are used for three-dimensional scatterers. Recently, a three-dimensional quasistatic MAS formulation has been reported in [3].…”

Section: Introductionmentioning

confidence: 99%

MAS Pole Location and Effective Spatial Bandwidth of the Scattered Field

Richie

2010

IEEE Trans. Antennas Propagat.

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Abstract-The concept of effective spatial bandwidth (EBW) is introduced for periodic domains. The EBW is applied to the incident and scattered fields along the boundary of an infinite circular cylinder. The scattered field is formulated using the method of auxiliary sources (MAS). In MAS, monopoles on an auxiliary surface (AS) are used to model the scattered field. It is shown that the EBW of the incident field can provide some insight regarding the placement of poles for the MAS scattered field model. Example simulations are provided to demonstrate the usefulness of EBW with respect to monopole placement rules in MAS.Index Terms-Boundary value problems, electromagnetic scattering.

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Section: Introductionmentioning

confidence: 99%

MAS Pole Location and Effective Spatial Bandwidth of the Scattered Field

Richie

2010

IEEE Trans. Antennas Propagat.

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“…The MAS is robust, easy to implement, and accurate, and has been used to investigate waveguide structures, antennas, scattering, electromagnetic wave propagation in complex media, etc. It has also been employed successfully in the analysis of low-frequency electromagnetic induction scattering phenomena [9], [10]. In the MAS, boundary value problems are solved numerically by representing the electromagnetic fields in each domain of the structure under investigation by a finite linear combination of analytical solutions of the relevant field equations, corresponding to sources situated at some distance away from the boundaries of each domain.…”

Section: The Methods Of Auxiliary Sources For Assessing Emi Noise Due mentioning

confidence: 99%

“…Longbaseline (LBL) acoustic methods create an accurate local reference frame for positioning but suffer from acoustic multi-path and attenuation in shallow or cluttered environments. Because of the dynamic nature of the highly variable UW environment, it is desirable to develop more accurate and reliable sensor positioning that will enable real-time processing and enhance classification approaches [1]- [9]. To achieve this goal, under this project we investigated a new UW Geo-location system.…”

Section: Theory Introductionmentioning

confidence: 99%

A Low Frequency Electromagnetic Sensor for Underwater Geo-Location

Shubitidze¹

2011

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Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. Geo-Location that would be based on the measured vector magnetic field, which would be sufficiently robust and efficient to be used in the real field for underwater UXO detection and discrimination systems tracking and positioning. In this project we concentrated on the fundamental mathematical, physical, computer simulation and potential practical implementations aspects of the proposed approaches. The report provides both the mathematical fundamentals and physical meanings of the proposed approach for underwater geolocation. Namely we explore two techniques for underwater geo-location using low frequency magnetic field: a) the first technique was based on the vector magnetic field full tensor gradient estimations at a given point, b) the second uses the non-linear optimization algorithm based on the differential evolution (DE) approach. We studied the sensitivity of the vector magnetic field gradient estimations using the standard finite different approach. In addition we utilized the three dimensional EMI solver based on the method of auxiliary sources for estimating the noise due to a spherical and spheroidal UXO like targets. We studied the accuracy with which the system can estimate a transmitters location, their robustness with respect to noise, and their requirements with regard to data quality and quantity. The main focus of this research was to explore and develop a new low frequency Electromagnetic Sensor modality for fast and accurate Geo-Location that would be based on the measured vector magnetic field, which would be sufficiently robust and efficient to be used in the real field for underwater UXO detection and discrimination systems tracking and positioning. In this project we concentrated on the fundamental mathematical, physical, computer simulation and potential practical implementations aspects of the proposed approaches. The report provides both the mathematical fundamentals and physical meanings of the proposed approach for underwater geolocation. Namely we explore two techniques for underwater geo-location using low frequency magnetic field: a) the first technique was based on the vector magnetic field full tensor gradient estimations at a given point, b) the second uses the non-lin...

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“…According to the MAS for penetrable objects, two auxiliary surfaces, S aux 1 and S aux 2 , are required to describe the ÿelds in both regions 1 and 2, respectively (Shubitidze et al, 2002b). Fig.…”

Section: Methods Of Auxiliary Sources (Mas)mentioning

confidence: 99%