Abstract
This paper describes the electromagnetic field variance estimation in a random printed circuit board (PCB) model due to the unreliability in permittivity and conductivity of the substrate material using a stochastic finite difference time domain (S-FDTD) method. Traditional FDTD method is updated for mean and variance estimation of the electromagnetic field through the random medium by Taylor series approximation and delta method. The correlation coefficient between the constitutive properties is assumed as to bound the variance field. The 2D S-FDTD method is used for simulating variance of fields in PCB model, and the results are validated using Monte Carlo results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Sadiku MNO (2001) Numerical techniques in electromagnetics, 2nd edn. CRC Press, Boca Raton, FL
Masumnia-Bisheh K, Ghaffari-Miab M, Zakeri B (2017) Evaluation of different approximations for correlation coefficients in stochastic FDTD to estimate SAR variance in a human head model. IEEE Trans Electromag Compat 59(2):509–517
Smith SM, Furse C (2012) Stochastic FDTD for analysis of statistical variation in electromagnetic fields. IEEE Trans Antennas Propag 60:3343–3350
Kane Y (1966) Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans Antennas Propag 14:302–307
Smith SM, Furse C (2011) Stochastic FDTD. Ph.D. dissertation, University of Utah, Salt Lake City, UT
Sullivan DM. Electromagnetic simulation using the FDTD method. IEEE press series on RF and Microwave Technology
Smith SM, Furse C (2011) “A stochastic FDTD method for statistically varying biological tissues” presented at the 2 IEEE AP-S International Symposium on Antennas and Propagation and USNC/CNC/URSI, Spokane, WA
Acknowledgements
The authors of this paper are grateful to the staff and students of College of Engineering Trivandrum for their guidance and support.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Joseph, J., Kiran, R. (2020). Analysis of Electromagnetic Field Variance in Random PCB Model Using 2D Stochastic FDTD. In: Jayakumari, J., Karagiannidis, G., Ma, M., Hossain, S. (eds) Advances in Communication Systems and Networks . Lecture Notes in Electrical Engineering, vol 656. Springer, Singapore. https://doi.org/10.1007/978-981-15-3992-3_16
Download citation
DOI: https://doi.org/10.1007/978-981-15-3992-3_16
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-3991-6
Online ISBN: 978-981-15-3992-3
eBook Packages: EngineeringEngineering (R0)