Skip to main content
SpringerLink
Log in

Quantifying Uncertainties Strength from Electromagnetic Stochastic Simulations

  • Conference paper
  • First Online:
Ultra-Wideband, Short-Pulse Electromagnetics 10

  • 1442 Accesses

Abstract

In this chapter, we associate sensitivity analysis (SA) with the stochastic collocation (SC) method in the context of electromagnetic problems. The SC has shown its efficiency and precision on problems with a little number of random variables [Chauvière et al. SIAM J. Sci. Comput. 28: 751–775, 2006]. The SA, as a first step, compensates the major drawback of the SC in reducing the number of entries to only the predominant ones. The combined method appears to be precise and effective to deal with problems with numerous uncertainties.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 229.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 299.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 299.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Fink, M.: Time reversal of ultrasonic fields: part I. Basic principles. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39(5), 555–566 (1992)

    Article  Google Scholar 

  2. Maaref, N., Millot, P., Ferrière, X.: Electromagnetic imaging method based on time reversal processing applied to through-the-wall target localization. Prog. Electromagn. Res. M 1, 59–67 (2008). ISSN 1937-6472

    Article  Google Scholar 

  3. Metropolis, N., Ulam, S.: The Monte Carlo method. J. Am. Stat. Assoc. 44, 335–341 (1949)

    Article  MATH  MathSciNet  Google Scholar 

  4. Chauvière, C., Hesthaven, J.S., Lurati, L.: Computational modeling of uncertainty in time-domain electromagnetic. SIAM J. Sci. Comput. 28, 751–775 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  5. Yee, K.S.: Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans. Antennas. Propag. 14, 302–307 (1966)

    Article  ADS  MATH  Google Scholar 

  6. Julier, S.J., Uhlmann, J.K.: Unscented filtering and nonlinear estimation. Proc. IEEE 92, 401–402 (2004)

    Article  Google Scholar 

  7. Bagcı, H., Yücel, A.C., Hesthaven, J.S., Michielssen, E.: A fast stroud-based collocation method for statistically characterizing EMI/EMC phenomena on complex platforms. IEEE Trans. Electromagn. Comput. 51(2), 301–311 (2009)

    Article  Google Scholar 

  8. Iooss B.: Revue sur l’analyse de sensibilité globale de modèles numériques. Journal de la Société Française de Statistiques, 152(1), 3–25 (2011). [In French]

    Google Scholar 

  9. Morris, M.D.: Factorial sampling plans for preliminary computational experiments. Technometrics 33, 161–174 (1991)

    Article  Google Scholar 

  10. Lalléchère, S., Jannet, B., Bonnet, P., Girard, S., Paladian, F.: Sensitivity analysis to compute advanced stochastic problems in uncertain and complex electromagnetic environments. In: Proceedings of the Advanced Electromagnetic Symposium, Paris, France (2012)

    Google Scholar 

  11. Morel, L., Pecqueux, B., Vézinet, R.: Notice d’installation et d’utilisation de la version exportable du code Gorf3D, Note Interne CEG 194–28 (1994) [In French]

    Google Scholar 

  12. Davy, M., de Rosny, J., Joly, J.C., Fink, M.: Focusing and amplification of electromagnetic waves by time-reversal in an leaky reverberation chamber. CR Phys. 11, 37–43 (2010). doi:10.1016/j.crhy.2009.12.008

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. CEA, DAM, GRAMAT, 46500, Gramat, France

    B. Jannet & B. Pecqueux

  2. Clermont Université, Université Blaise Pascal, BP10448, 63000, Clermont Ferrand, France

    B. Jannet, P. Bonnet & S. Lalléchère

  3. CNRS, UMR 6602, Institut Pascal, 63177, Aubière, France

    B. Jannet, P. Bonnet & S. Lalléchère

Authors
  1. B. Jannet
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Bonnet
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Lalléchère
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. B. Pecqueux
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Jannet .

Editor information

Editors and Affiliations

  1. Bundeswehr Research Institute for Protective Technologies and NBC-Protection (WIS), Munster, Germany

    Frank Sabath

  2. US Naval Research Laboratory, Washington, District of Columbia, USA

    Eric L. Mokole

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media New York

About this paper

Cite this paper

Jannet, B., Bonnet, P., Lalléchère, S., Pecqueux, B. (2014). Quantifying Uncertainties Strength from Electromagnetic Stochastic Simulations. In: Sabath, F., Mokole, E. (eds) Ultra-Wideband, Short-Pulse Electromagnetics 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9500-0_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-9500-0_1

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-9499-7

  • Online ISBN: 978-1-4614-9500-0

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics

Search

Navigation