Comparative Study of Three Wave Propagation Software Programs for the Modeling of Coupled Maxwell and Boltzmann Equations at THz Frequency

Authors

  • B. Tissafi IEF – UMR 8622 CNRS, Département N.A.E.L., Université Paris Sud, Bât 220, 91405 Orsay, France
  • F. Aniel IEF – UMR 8622 CNRS, Département N.A.E.L., Université Paris Sud, Bât 220, 91405 Orsay, France
  • L. Pichon LGEP – UMR 8507 CNRS, SUPELEC, Université Paris-Sud, Université Pierre et Marie Curie Plateau de Moulon, 91192 Gif-sur-Yvette cedex, France
  • B. Essakhi LGEP – UMR 8507 CNRS, SUPELEC, Université Paris-Sud, Université Pierre et Marie Curie Plateau de Moulon, 91192 Gif-sur-Yvette cedex, France
  • C. Guiffaut XLIM – UMR 6172 CNRS, Département O.S.A., Faculté des Sciences et Techniques, 123 avenue Albert Thomas, 87060 Limoges, France
  • S. Lepaul EDF R&D – Département O.S.I.R.I.S., 1 avenue du Général De Gaulle, BP 408, 92141 Clamart, France

Keywords:

Comparative Study of Three Wave Propagation Software Programs for the Modeling of Coupled Maxwell and Boltzmann Equations at THz Frequency

Abstract

The modeling of optoelectronic devices operating at THz frequency requires self consistently solving the Maxwell equations and the Boltzmann transport equation. In this article, it is the numerical method for solving Maxwell’s equations that is debated in the frame of its ability to be combined with transport equations. For this purpose, three software programs mainly devoted to the simulation of 3D electromagnetic equations in time-domain (one based on a 3D finite element method and two on 3D FDTD methods) are first presented and compared. The structure used for the modeling comparison is a coplanar waveguide structure. Results provided by the three solvers are compared according to two factors of merit. Then, the coupling of Maxwell and Boltzmann equations in the FDTD frame is briefly presented and the difficulties to use other methods are explained, showing that the variable-mesh FDTD method is most suitable for such a coupling.

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References

M. Sirbu, S. Lepaul, and F. Aniel, “Coupling 3D

Maxwell and Boltzmann equations for analyzing a

terahertz photoconductive switch,” IEEE Trans. on

Microwave Theory and Techniques, vol. 53. no. 9,

pp. 2991-2998, 2005.

K. S. Yee, “Numerical solution of initial boundary

value problems involving Maxwell’s equations in

isotropic media,” IEEE Trans. on Antennas and

Propagation, AP-14, pp. 302-307, 1966.

P. B. Johns and R. L. Beurle, “Numerical solution of

-dimensional scattering problems using a

transmission line matrix,” Proc. IEE, vol. 118, no. 9,

pp. 1203-1208, 1971.

T. Weiland, “A discretization method for the solution

of Maxwell’s equations for six-component fields,”

Electron Comm., 31, 3, pp. 116-120, 1977.

J. C. Nédélec, “Mixed finite elements in R3,” Numer.

Math., vol. 35, pp. 315-341, 1980.

M. Remaki, “A new finite volume scheme for

solving Maxwell’s system,” COMPEL, 19:913-931,

J. Hesthaven and T. Warburton, “Discontinuous

Galerkin methods for time-domain Maxwell’s

equations: an introduction,” ACES Newletter, vol. 19,

pp. 10-29, 2004.

R. O. Grondin, S. M. El-Ghazaly, and S. Goodnick,

“A review of global modeling of charge transport in

semiconductors and full-wave electromagnetics,”

IEEE Trans. on Microwave Theory and Techniques,

vol. 47, no. 6, pp. 817-829, 1999.

J. S. Ayubi-Moak, S. M. Goodnick, S. J. Aboud, M.

Saraniti, and S. El-Ghazal y, “Coupling Maxwell’s

equations to full band particle-based simulators,”

Journal of Computational Electronics, vol. 2, pp.

-190, 2003.

J. S. Ayubi-Moak, S. M. Goodnick, and M. Saraniti,

“Global modeling of high frequency devices,”

Journal of Computational Electronics, vol. 5, pp.

-418, 2006.

J. S. Ayubi-Moak, R. Akis, D. K. Ferry, S. M.

Goodnick, N. Farralli, and M. Saraniti, “Towards the

global modeling of InGaAs-based pseudomorphic

TISSAFI, ANIEL, PICHON, ESSAKHI, GUIFFAUT, LEPAUL: COMPARATIVE STUDY OF THREE WAVE PROPAGATION SOFTWARE PROGRAMS

HEMTs,” Journal of Computational Electronics,

DOI 10.1007/s10825-008-0207-5, 2008.

S. Benhassine, L. Pichon, and W. Tabbara, “An

efficient finite-element time-domain method for the

analysis of the coupling between wave and shielded

enclosure,” IEEE Trans. on Magnetics, vol. 38, no.

, pp. 709-712, 2002.

Ch. Guiffaut and A. Reineix, “Improvement of

FDTD codes for EMC applications,” PIERS, 2004 –

-31 March 204- Pise - Italie – Session 41.

A. Taflove and S. C. Hagness, Computational

electrodynamics the finite-difference time-domain

method. 3 rd ed., London, UK: Artech House, Chapter

, pp. 44-60, 2005.

J. J. Berthelier, S. Bonaimé, V. Ciarletti, R.

Clairquin, F. Dolon, A. Le Gall, D. Nevejans, R.

Ney, and A. Reinex, “Initial results of the

NETLANDER imaging ground penetrating radar

operated on the Antarctic ice shelf,” Geophysical

research letters, 32, L22305,

1029/2005GL024203

S. Reynaud, Y. Cocheril, A. Reineix, C. Guiffaut,

and R. Vauzelle “A hybrid FDTD/UTD radiowave

propagation modeling : Application to indoor

channel simulations,” Microwave and Optical

Technology Letters, vol. 49, no. 6, pp. 1312-1320,

A. Reineix, C. Guiffaut, F. Torres, B. Pecqueux, J.

Ch. Joly, and P. Hoffmann, “VULCAIM : A

Methodology Project for the Study of the Printed

Circuit Boards Vulnerability,” 2ème EMC – IEEE

Symposium on embedded EMC, Session 3 “EMC

Methodology” – 3C, Rouen, France – September

J. A. Roden and S. D. Gedney, “Convolution PML

(CPML): an efficient FDTD implementation of the

CFS-PML for arbitrary media,” Microwave and

Optical Technology Letters, vol. 27, no. 5, pp. 334-

, December 2000.

B. Essakhi, G. Akoun, and L. Pichon, “A global time

domain circuit simulation of a microwave rectenna,”

International Journal of Numerical Modeling

Electronic Networks, devices and fields, vol. 20, pp.

-15, 2006.

J. P. Webb, “Edge elements and what they can do for

you,” IEEE Trans. on Magnetics, vol. 25, no. 2, pp.

-1465, 1993.

W. P. Carpes, L. Pichon, and A. Razek, “A finite

element method for the numerical modeling of

bounded and unbounded electromagnetic problems

in the time domain,” International Journal of

Numerical Modeling, vol. 13, pp. 527-540, 2000.

S. Cohen and P. Monk, “Gauss point mass lumping

schemes for Maxwell’s equations,” Numer. Meth.

Part. Diff. Equns., vol. 14, pp. 63-68, 1998.

S. Benhassine, W. P. Carpes, and L. Pichon,

“Comparison of Mass Lumping Techniques for

solving the 3D Maxwell’s equations in the time

domain,” IEEE Trans. on Magnetics, vol. 36, no. 4,

pp. 1548-1552, 2000.

S. El-Ghazaly, R. P. Joshi, and R. O. Grondin,

“Electromagnetic and transport considerations in

subpicosecond photoconductive modeling,” IEEE

Trans. on Microwave Theory and Techniques, vol.

, no. 5, pp. 629-637, 1990.

M. A. Alsunaidi, S. M. S. Imtiaz, and S. El-Ghazaly,

“Electromagnetic wave effects on microwave

transistors using a full-wave time-domain model,”

IEEE Trans. on Microwave Theory and Techniques,

vol. 44, no. 6, pp. 799-808, 1996.

F. Edelvik and G. Ledfelt, “A comparison of time-

domain hybrid solvers for complex scattering

problems,” International Journal of Numerical

Modeling: Electronic Networks, Devices and Fields,

vol. 15, pp. 475-487, 2002.

S. Selleri, J. Y. Dauvignac, G. Pelosi, and Ch.

Pichot, “Comparison between FDTD and hybrid

FDTD-FETD applied to scattering and antenna

problems,” Microwave and Optical Technology

Letters, vol. 18, no. 4, pp. 247-250, 1998

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Published

2022-06-17

How to Cite

[1]
B. . Tissafi, F. . Aniel, L. . Pichon, B. . Essakhi, C. . Guiffaut, and S. . Lepaul, “Comparative Study of Three Wave Propagation Software Programs for the Modeling of Coupled Maxwell and Boltzmann Equations at THz Frequency”, ACES Journal, vol. 24, no. 4, pp. 382–390, Jun. 2022.

Issue

2009: Vol 24 Iss 4

Section

General Submission