Journal Publications

  1. An Approximate Method for the Study of Transverse Discontinuities in Waveguides, Wave Motion, vol. 13, pp. 123-131, 1991.
  2. Optical Theorems for Electromagnetic Scattering by Inhomogeneities in Layered Dielectric Media, IEEE Transactions on Antennas and Propagation , vol. 39, no. 8, pp. 1119-1124, 1991.
  3. Stability and Phase Error Analysis of FD-TD in Dispersive Dielectrics, IEEE Transactions on Antennas and Propagation, vol. 40, no. 1, pp. 62-69, 1994.
  4. A Simple Guideline for Choosing the Points per Wavelength in FD-TD Simulations, IEEE Antennas and Propagation Magazine, vol. 36, no. 2, pp. 67-68, 1994.
  5. Phase Error Control for FD-TD Methods of Second and Fourth Order Accuracy, IEEE Transactions on Antennas and Propagation, vol. 42, no. 6, pp. 859-862, 1994.
  6. The Wave Hierarchy for Propagation in Relaxing Dielectrics, Wave Motion, vol. 21, pp. 253-262, 1995.
  7. Asymptotic and Energy Estimates for Electromagnetic Pulses in Dispersive Media, J. Opt. Soc. Am. A, vol. 13, no. 6, pp. 1204-1217, 1996.
  8. The Computation of Linear Dispersive Electromagnetic Waves, Applied Computational Electromagnetics Society Journal, invited paper in special issue titled ``Applied Mathematics: meeting the challenges presented by Computational Electromagnetics,'' vol. 11, no. 1, pp. 8-16, 1996.
  9. Analysis of Exponential Time-Differencing for FD-TD in Lossy Dielectrics, IEEE Transactions on Antennas and Propagation, vol. 45, no. 6, pp. 1054-1057, 1997.
  10. A Reflectionless Sponge Layer Absorbing Boundary Condition for the Solution of Maxwell's Equations with High-Order Staggered Finite Difference Schemes, J. Computational Physics, vol. 139, pp. 184-208, 1998.
  11. On the Termination of the Perfectly Matched Layer with Local Absorbing Boundary Conditions, J. Computational Physics, vol. 143, pp. 665-673, 1998.
  12. Plane-Wave Analysis and Comparison of Split-Field, Biaxial and Uniaxial PML Methods as ABCs for Pseudospectral Electromagnetic Wave Simulations in Curvilinear Coordinates, J. Computational Physics, vol. 146, pp. 747-774, 1998.
  13. Performance Evaluation and Absorption Enhancement of the Grote-Keller and Unsplit PML Boundary Conditions for the 3-D FDTD Method in Spherical Coordinates, IEEE Transactions on Magnetics, vol. 35, no. 3, pp. 1418-1421, 1999.
  14. Asymptotic and Energy Estimates for Electromagnetic Pulses in Dispersive Media: Addendum, J. Opt. Soc. Am. A, vol. 16, no. 11, pp. 2799-2800, 1999.
  15. Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell's Equations in Rectangular, Cylindrical and Spherical Coordinates, SIAM J. Applied Mathematics, vol. 60, no. 3, pp. 1037-1058, 2000.
  16. Reflectionless Sponge Layers for the Numerical Solution of Maxwell's Equations in Cylindrical and Spherical Coordinates, Applied Numerical Mathematics, vol. 33, no. 1-4, pp. 517-524, 2000.
  17. Numerical Dispersion and Absorbing Boundary Conditions, International Journal of Numerical Modelling: Devices, Circuits and Fields , vol. 13, no. 5, pp. 483-498, 2000. Special Issue titled ``ABC's for CEM,'' edited by P.G. Petropoulos.
  18. A Staggered Fourth-Order Accurate Explicit Finite Difference Scheme for the Time-Domain Maxwell's Equations, J. Computational Physics , vol. 168, no. 2, pp. 286-315, 2001.
  19. Nonlinear Stability of Electrified Fluid Sheets, Physics of Fluids, vol. 13, no. 12, pp. 3547-3563, 2001.
  20. Approximating the Surface Impedance of a Homogeneous Lossy Half-Space: An Example of "Dialable" Accuracy, IEEE Transactions on Antennas and Propagation, vol. 50, no. 7, pp. 941-943, 2002.
  21. The Effect of Electric Fields on the Rupture of Thin Viscous Films by van der Waals Forces, Physics of Fluids, vol. 15, no. 3, pp. 641-652, 2003.
  22. An Analytical Study of the Discrete Perfectly Matched Layer for the Time-Domain Maxwell Equations in Cylindrical Coordinates, IEEE Transactions on Antennas and Propagation, vol. 51, no. 7, pp. 1671-1675, 2003.
  23. On the Long-Time Behavior of Unsplit Perfectly Matched Layers, IEEE Transactions on Antennas and Propagation,  vol. 52, no. 5, pp. 1335-1342, 2004.
  24. Generation of Interfacial Instabilities in Charged Electrified Viscous Liquid Films, Journal of Engineering Mathematics, vol. 50, pp. 223-240, 2004.
  25. Accurate and Efficient Boundary Integral Methods for Electrified Liquid Bridge Problems, SIAM J. Scientific Computing, vol. 26, no. 6, pp. 2102-2132, 2005. 
  26. On the Time-Domain Response of Cole-Cole Dielectrics, IEEE Transactions on Antennas and Propagation, vol. 53, no. 11, pp. 3741-3746, 2005.
  27. Gravity Capillary Waves in Fluid Layers under Normal Electric Fields, Physical Review E, vol. 72, pp. 051601-1 to 051601-9, 2005.
  28. Nonlinear Stability of a Charged Electrified Viscous Liquid Film Under the Action a Horizontal Electric Field, Physics of Fluids, vol. 18, no. 4, pp. 042102-1 to 042102-10, 2006.
  29. Monodisperse Drop Formation in Square Microchannels, Physical Review Letters, vol. 96, no. 14, pp. 144501-1 to 144501-4, 2006.
  30. Electrohydrodynamic Linear Stability of Two Immiscible Fluids in Channel Flow, Electrochimica Acta, vol. 51, no. 25, pp. 5316-5323, 2006.
  31. Linear stability of a two-fluid interface for electrohydrodynamic mixing in a channel, J. Fluid Mech., vol. 583, pp. 347-377, 2007.
  32. Incorporating the Havriliak-Negami dielectric model in the FD-TD method , J. Computational Physics, vol. 230, no. 10, pp. 3884-3899, 2011.
  33. Suppression of Rayleigh-Taylor instability using electric fields , Mathematics and Computers in Simulation , vol. 82, no. 6, pp. 1008-1016, 2012.
  34. On the Time-Domain Response of Havriliak-Negami Dielectrics , IEEE Transactions on Antennas and Propagation , vol. 61, no. 6, pp. 3182-3189, 2013. This paper was nominated and subsequently short-listed for the IEEE-AP Society's RWP King Award for 2013.
  35. On the control and suppression of the Rayleigh-Taylor instability using electric fields , Physics of Fluids, vol. 26, no. 2, pp. 022105-1 to 022105-19, 2014.
  36. Nonlinear dynamics and wall touchdown in unstably stratified multilayer flows in horizontal channels under the action of electric fields , SIAM J. Applied Mathematics, vol. 75, no. 1, pp. 92-113, 2015.
  37. Electric field stabilization of viscous liquid layers coating the underside of a surface , Physical Review Fluids, vol. 2, no. 5, pp. 054001-1 to 054001-25, 2017.

Preprints

  1. Efficient high-order methods for solving fractional differential equations of order 0<\alpha<1 using fast convolution and applications in wave propagation, with M. F. Causley.
  2. Nystrom methods for high-order CQ solutions of the wave equation in two dimensions, with C. Turc and E. Wind-andersen.

Reports & Conference Proceedings Publications

  1. A Fourth-Order FD-TD Scheme for Electromagnetics, Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation, pp. 883-887, 2000.
  2. The FD-TD Method: Theory and Applications, Applied Computational Electromagnetics: State of the Art and Future Trends, Vol. NATO-ASI Series: SERS. F, pp. 202-242, Springer-Verlag (2000).
  3. A Non-Dissipative Staggered Fourth-Order Accurate Explicit Finite Difference Scheme for the Time-Domain Maxwell's Equations, ICASE Technical Report, No. 99-30, NASA/CR-1999-209514, 1999.
  4. Well-Posed Perfectly Matched Layers, Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, pp. 567-569, 1998.
  5. A Comparison of the Grote-Keller ABC and the Unsplit PML for Maxwell's Equations in Spherical Coordinates, 14th Annual Review of Progress in Applied Computational Electromagnetics Proceedings, vol. 2, pp. 623-680, Monterey, CA, March 1998. Paper in special session, titled ``ABCs: Theoretical and Numerical Implementation Issues,'' organized by P. G. Petropoulos.
  6. The Direct Problem in Ultra-Short Pulse Electromagnetic Wave Propagation and Scattering, USAF Armstrong Laboratory Technical Report, AL/OE-TR-1997-0109, 1997.
  7. Fourth-Order Accurate Staggered Finite Difference Schemes for the Time-Dependent Maxwell Equations, Invited Paper in the Proceedings of the 13th Dundee Conference on Ordinary and Partial Differential Equations , Pitman Research Notes in Mathematics Series, #370, pp. 85-107, UK, 1997.
  8. The Application of PML ABCs in High-Order FD-TD Schemes, 13th Annual Review of Progress in Applied Computational Electromagnetics Proceedings, vol. 2, pp. 884-891, Monterey, CA, March 1997. Paper in special session, titled ``PML:Theoretical and Numerical Implementation Issues,'' co-organized by P.G. Petropoulos & A.C. Cangellaris.
  9. High-Order Nondissipative Staggered Schemes for Maxwell's Equations, IEEE-APS International Symposium Proceedings, vol. 1, pp. 114-117, Montreal, Canada, July 1997. Paper invited in special session titled ``Interdisciplinary Computational Electromagnetics.''
  10. Modeling Propagation and Scattering in Dispersive Dielectrics with FD-TD, 10th Annual Review of Progress in Applied Computational Electromagnetics Proceedings, vol. 1, pp. 3-9, Monterey, CA, 1994.
  11. Wave Hierarchies for Propagation in Dispersive Electromagnetic Media, Second International Conference on Ultra-Wideband Short-Pulse Electromagnetics Proceedings, pp. 351-354, Plenum Press, 1994.
  12. Domain Integral Equation Analysis of Scattering in Layered Dielectric Media, IEEE-APS International Symposium Proceedings, pp. 761-764, 1992.
  13. Phase Error Control for FD-TD Type Methods, First International Conference on Ultra-Wideband Short-Pulse Electromagnetics Proceedings , pp. 359-366, Plenum Press, 1992.
  14. Validation of UTRC 2D CEM Codes, United Technologies Research Center Internal Report, November 1990.