Journal Publications
- An Approximate Method for the Study of Transverse Discontinuities
in Waveguides, Wave Motion, vol. 13, pp. 123-131, 1991.
- 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.
- 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.
- 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.
- 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.
- The Wave Hierarchy for Propagation in Relaxing Dielectrics,
Wave Motion, vol. 21, pp. 253-262, 1995.
- Asymptotic and Energy Estimates for Electromagnetic
Pulses in Dispersive Media, J. Opt. Soc. Am. A, vol. 13,
no. 6, pp. 1204-1217, 1996.
- 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.
- 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.
- 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.
- On the Termination of the Perfectly Matched Layer with
Local Absorbing Boundary Conditions, J. Computational Physics,
vol. 143, pp. 665-673, 1998.
- 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.
- 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.
- Asymptotic and Energy Estimates for Electromagnetic
Pulses in Dispersive Media: Addendum, J. Opt. Soc. Am. A,
vol. 16, no. 11, pp. 2799-2800, 1999.
- 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.
- 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.
- 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.
- 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.
- Nonlinear Stability of Electrified Fluid Sheets, Physics
of Fluids, vol. 13, no. 12, pp. 3547-3563, 2001.
- 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.
- 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.
- 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.
- On the Long-Time Behavior of Unsplit Perfectly Matched
Layers, IEEE Transactions on Antennas and Propagation,
vol. 52, no. 5, pp. 1335-1342, 2004.
- Generation of Interfacial Instabilities in Charged Electrified
Viscous Liquid Films, Journal of Engineering Mathematics,
vol. 50, pp. 223-240, 2004.
- Accurate and Efficient Boundary Integral Methods for
Electrified Liquid Bridge Problems, SIAM J. Scientific Computing,
vol. 26, no. 6, pp. 2102-2132, 2005.
- On the Time-Domain Response of Cole-Cole Dielectrics,
IEEE Transactions on Antennas and Propagation, vol. 53, no.
11, pp. 3741-3746, 2005.
- Gravity Capillary Waves in Fluid Layers under Normal Electric
Fields, Physical Review E, vol. 72, pp. 051601-1 to 051601-9,
2005.
- 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.
- Monodisperse Drop Formation in Square Microchannels, Physical
Review Letters, vol. 96, no. 14, pp. 144501-1 to 144501-4, 2006.
- Electrohydrodynamic Linear Stability of Two Immiscible Fluids
in Channel Flow, Electrochimica Acta, vol. 51, no. 25,
pp. 5316-5323, 2006.
- Linear stability of a two-fluid interface for electrohydrodynamic
mixing in a channel, J. Fluid Mech., vol. 583,
pp. 347-377, 2007.
- Incorporating the Havriliak-Negami dielectric model in the FD-TD method
, J. Computational Physics, vol. 230, no. 10,
pp. 3884-3899, 2011.
- Suppression of Rayleigh-Taylor instability using electric fields
, Mathematics and Computers in Simulation , vol. 82, no. 6,
pp. 1008-1016, 2012.
- 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.
- 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.
- 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.
- 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
- 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.
- 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
- A Fourth-Order FD-TD Scheme for Electromagnetics, Fifth
International Conference on Mathematical and Numerical Aspects of Wave
Propagation, pp. 883-887, 2000.
- 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).
- 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.
- Well-Posed Perfectly Matched Layers, Fourth International
Conference on Mathematical and Numerical Aspects of Wave Propagation,
pp. 567-569, 1998.
- 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.
- The Direct Problem in Ultra-Short Pulse Electromagnetic
Wave Propagation and Scattering, USAF Armstrong Laboratory Technical
Report, AL/OE-TR-1997-0109, 1997.
- 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.
- 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.
- 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.''
- 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.
- Wave Hierarchies for Propagation in Dispersive Electromagnetic
Media, Second International Conference on Ultra-Wideband Short-Pulse
Electromagnetics Proceedings, pp. 351-354, Plenum Press, 1994.
- Domain Integral Equation Analysis of Scattering in Layered
Dielectric Media, IEEE-APS International Symposium Proceedings,
pp. 761-764, 1992.
- Phase Error Control for FD-TD Type Methods, First
International Conference on Ultra-Wideband Short-Pulse Electromagnetics
Proceedings , pp. 359-366, Plenum Press, 1992.
- Validation of UTRC 2D CEM Codes, United Technologies
Research Center Internal Report, November 1990.