Development of Stable A-$\Phi$ Time-Domain Integral Equations for Multiscale Electromagnetics

Roth, Thomas E.; Chew, Weng C.

doi:10.1109/JMMCT.2018.2889535

Title: Development of Stable A-$$\Phi$$ Time-Domain Integral Equations for Multiscale Electromagnetics

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Abstract

Applications involving quantum physics are becoming an increasingly important area for electromagnetic engineering. To address practical problems in these emerging areas, appropriate numerical techniques must be utilized. However, the unique needs of many of these applications require new computational electromagnetic solvers to be developed. The A-4:1. formulation is a novel approach that can address many of these needs. This formulation utilizes equations developed in terms of the magnetic vector potential (A) and electric scalar potential (t.). The resulting equations overcome many of the limitations of traditional solvers and are ideal for coupling to quantum mechanical calculations. In this work, the A-4. formulation is extended by developing time domain integral equations suitable for multiscale perfect electric conducting objects. These integral equations can be stably discretized and constitute a robust numerical technique that is a vital step in addressing the needs of many emerging applications. To validate the proposed formulation, numerical results are presented which demonstrate the stability and accuracy of the method.

Authors:

^[1];

^[1]

Univ. of Illinois, Urbana-Champaign, IL (United States)

Publication Date:: Mon Dec 24 00:00:00 EST 2018

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1497628

Report Number(s):: SAND-2019-1823J
Journal ID: ISSN 2379-8793; 672715

Grant/Contract Number:: AC04-94AL85000

Resource Type:: Accepted Manuscript

Journal Name:: IEEE Journal on Multiscale and Multiphysics Computational Techniques

Additional Journal Information:: Journal Volume: 3; Journal ID: ISSN 2379-8793

Publisher:: IEEE

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING

Citation Formats


                    Roth, Thomas E., and Chew, Weng C. Development of Stable A-$\Phi$ Time-Domain Integral Equations for Multiscale Electromagnetics.  United States: N. p., 2018. 
Web.  doi:10.1109/JMMCT.2018.2889535.

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                    Roth, Thomas E., & Chew, Weng C. Development of Stable A-$\Phi$ Time-Domain Integral Equations for Multiscale Electromagnetics.  United States.  https://doi.org/10.1109/JMMCT.2018.2889535

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                    Roth, Thomas E., and Chew, Weng C. Mon .  
"Development of Stable A-$\Phi$ Time-Domain Integral Equations for Multiscale Electromagnetics".  United States.  https://doi.org/10.1109/JMMCT.2018.2889535.  https://www.osti.gov/servlets/purl/1497628.

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@article{osti_1497628,

  title        = {Development of Stable A-$\Phi$ Time-Domain Integral Equations for Multiscale Electromagnetics},

  author       = {Roth, Thomas E. and Chew, Weng C.},

  abstractNote = {Applications involving quantum physics are becoming an increasingly important area for electromagnetic engineering. To address practical problems in these emerging areas, appropriate numerical techniques must be utilized. However, the unique needs of many of these applications require new computational electromagnetic solvers to be developed. The A-4:1. formulation is a novel approach that can address many of these needs. This formulation utilizes equations developed in terms of the magnetic vector potential (A) and electric scalar potential (t.). The resulting equations overcome many of the limitations of traditional solvers and are ideal for coupling to quantum mechanical calculations. In this work, the A-4. formulation is extended by developing time domain integral equations suitable for multiscale perfect electric conducting objects. These integral equations can be stably discretized and constitute a robust numerical technique that is a vital step in addressing the needs of many emerging applications. To validate the proposed formulation, numerical results are presented which demonstrate the stability and accuracy of the method.},

  doi          = {10.1109/JMMCT.2018.2889535},

  journal      = {IEEE Journal on Multiscale and Multiphysics Computational Techniques},

  number       = ,

  volume       = 3,

  place        = {United States},

  year         = {Mon Dec 24 00:00:00 EST 2018},

  month        = {Mon Dec 24 00:00:00 EST 2018}

}

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