Electrical and Computer Engineering

Karl F. Warnick received the B.S. degree (magna cum laude) with University Honors and the Ph.D. degree from Brigham Young University (BYU), Provo, UT, in 1994 and 1997, respectively. From 1998 to 2000, he was a Postdoctoral Research Associate and Visiting Assistant Professor in the Center for Computational Electromagnetics at the University of Illinois at Urbana-Champaign.  Since 2000, he has been a faculty member in the Department of Electrical and Computer Engineering at BYU, where he is currently an Associate Professor.  He was a recipient of the National Science Foundation Graduate Research Fellowship, Outstanding Faculty Member award for Electrical and Computer Engineering (2005), and the BYU Young Scholar Award (2007). In 2005 and 2007, he was a Visiting Professor at the Technische Universität München, Germany.  Dr. Warnick has published many scientific articles and conference papers on electromagnetic theory, numerical methods, remote sensing, antenna applications, phased arrays, biomedical devices, and inverse scattering, and is the author of the books Problem Solving in Electromagnetics, Microwave Circuits, and Antenna Design for Communications Engineering (Artech House, 2006) with Peter Russer and Numerical Analysis for Electromagnetic Integral Equations (Artech House, 2008). 

Dr. Warnick is a Senior Member of the IEEE, and has served the Antennas and Propagation Society as a member of the Education Committee and as a session chair and special session organizer for the International Symposium on Antennas and Propagation and other meetings affiliated with the Society. He is a frequent reviewer for the IEEE Transactions on Antennas and Propagation and Antennas and Wireless Propagation Letters. Dr. Warnick has been a member of the Technical Program Committee for the International Symposium on Antennas and Propagation for several years and served as Technical Program Co-Chair for the Symposium in 2007.

Center for Smart Antenna Systems

Radio Astronomy Systems Research Group

B. D. Jeffs and K. F. Warnick, “Spectral bias in adaptive beamforming with narrowband interference,” IEEE Transactions on Signal Processing, accepted, 2008.

C. Ullrich, K. F. Warnick, and P. Russer, “A hybrid MoM/UTD method for the analysis of antennas in an aperture backed by an absorbing body,” IEEE Transactions on Antennas and Propagation, in review, 2009.

X. Sun, D. Li, A. T. Woolley, P. B. Farnsworth, H. D. Tolley, K. F. Warnick, and M. L. Lee, “Bilinear electric field gradient focusing,” in review, 2008.

T. Sorensen and K. F. Warnick, “Image quality for diffraction tomography, holographic backpropagation, and regularized sampling with noisy data,” Inverse Problems in Science and Engineering, in review, 2008.

K. F. Warnick, E. E. M. Woestenburg, L. Belostotski, and P. Russer, “Minimizing the noise penalty due to mutual coupling for a receiving array,” IEEE Transactions on Antennas and Propagation, Vol. 57, No. 6, pp. 1634-1644, June, 2009.

X. Sun, P. B. Farnsworth, H. D. Tolley, K. F. Warnick, A. T. Woolley, and M. L. Lee, “Performance optimization in electric field gradient focusing,” J. Chromatography A, Vol. 1216, pp. 159-164, 2009.

K. F. Warnick and B. D. Jeffs, “Efficiencies and system temperature for a beamforming array,” IEEE Antennas and Wireless Propagation Letters, Vol. 7, pp. 565-568, 2008.

B. D. Jeffs and K. F. Warnick, “Bias corrected PSD estimation for an adaptive array with moving interference,” IEEE Transactions on Signal Processing, Vol. 56, No. 7, doi:10.1109/TSP.2008.919637, pp. 3108-3121, July, 2008.

B. D. Jeffs, K. F. Warnick, J. Landon, J. Waldron, D. Jones, J. R. Fisher, and R. D. Norrod, “Signal processing for phased array feeds in radio astronomical telescopes,” IEEE Journal of Selected Topics in Signal Processing, Vol. 2, No. 5, pp. 635-646, Oct. 2008.

S. Lin, Y. Li, A. T. Woolley, M. L. Lee, H. D. Tolley, and K. F. Warnick, “Programmed elution and peak profiles in electric field gradient focusing,” Electrophoresis, Vol. 29, No. 5, pp. 1058-1066, Mar. 2008.

J. R. Nagel, K. F. Warnick, B. D. Jeffs, J R. Fisher, and R. Bradley, “Experimental verification of radio frequency interference mitigation with a focal plane array feed,” Radio Science, Vol. 42, RS6013, doi:10.1029/2007RS003630, 2007.

X. Sun, P. B. Farnsworth, A. T. Woolley, H. D. Tolley, K. F. Warnick, and M. L. Lee, “Poly(ethylene glycol)-functionalized devices for electric field gradient focusing,” Analytical Chemistry, in press, 2007.

J. T. Johnson, K. F. Warnick, P. Xu, and L. Tsang, “On the geometrical optics (Hagfors' Law) and physical optics approximations for scattering from exponentially correlated surfaces,” IEEE Transactions on Geoscience and Remote Sensing,Vol. 45, No. 8, pp. 2619-2629, Aug. 2007.

K. F. Warnick and M. A. Jensen, “Optimal noise matching for mutually-coupled arrays,” IEEE Transactions on Antennas and Propagation, Vol. 55, No. 6, pp. 1726-1731, June 2007.

K. F. Warnick and B. D. Jeffs, “Gain and aperture efficiency for a reflector antenna with an array feed,” IEEE Antennas and Wireless Propagation Letters, Vol. 5, No. 1, pp. 499-502, 2006.

K. F. Warnick and P. Russer, “Green’s theorem in electromagnetic field theory,” Proceedings of the European Microwave Association, Vol. 2, No. 2, pp. 141-146, June 2006.

K. F. Warnick and P. Russer, “Two, three, and four-dimensional electromagnetics using differential forms,” Turkish Journal of Electrical Engineering and Computer Sciences, Vol. 14, No. 1, pp. 153-172, 2006.

F. W. Millet, K. F. Warnick, J. R. Nagel, and D. V. Arnold, “Physical optics-based electromagnetic bias theory with surface height-slope cross-correlation and hydrodynamic modulation,” IEEE Transactions on Geoscience and Remote Sensing, Vol. 44, No. 6, pp. 1470-1483, June 2006.

K. F. Warnick, “An intuitive error analysis for FDTD and comparison to MOM,” IEEE Antennas and Propagation Magazine, Vol. 47, No. 6, pp. 111-115, Dec. 2005.

A. J. Poulsen, B. D. Jeffs, K. F. Warnick, and J. R. Fisher, “Programmable real-time cancellation of GLONASS interference with the Green Bank Telescope,” Astronomical Journal, Vol. 130, pp. 2916-2927, Dec. 2005.

F. W. Millet, K. F. Warnick, and D. V. Arnold, “Electromagnetic bias at off-nadir incidence angles,” Journal of Geophysical Research-Oceans, Vol. 110, No. C09017, doi:10.1029/2004JC002704, 13 pages, 2005.

C. K. Hansen, K. F. Warnick, B. D. Jeffs, J. R. Fisher, and R. Bradley, “Interference mitigation using a focal plane array,” Radio Science, Vol. 40, No. 5, doi:10.1029/2004RS003138, 14 pages, June 2005.

K. F. Warnick and M. A. Jensen, “Effect of mutual coupling on interference mitigation with a focal plane array,” IEEE Transactions on Antennas and Propagation, Vol. 53, No. 6, pp. 2490-2498, Aug. 2005.

C. P. Davis and K. F. Warnick, “On the physical meaning of the Sobolev norm in error estimation,” Journal of the Applied Computational Electromagnetics Society, Vol. 20, No. 2, pp. 144-150, July 2005.

K. F. Warnick, F. W. Millet, and D. V. Arnold, “Physical and geometrical optics for 2D rough surfaces with power-law height spectra,” IEEE Transactions on Antennas and Propagation, Vol. 53, No. 3, pp. 922-932, Mar. 2005.

B. D. Jeffs, L. Li, and K. F. Warnick, “Auxiliary assisted interference mitigation for radio astronomy arrays,” IEEE Transactions on Signal Processing, Vol. 53, No. 2, pp. 439-451, Feb. 2005.

C. P. Davis and K. F. Warnick, “Error analysis of 2D MoM for MFIE/EFIE/CFIE based on the circular cylinder,” IEEE Transactions on Antennas and Propagation, Vol. 53, no. 1, pp. 321-331, Jan. 2005.

K. F. Warnick, S. J. Francom, Paul H. Humble, R. T. Kelly, A. T. Woolley, M. L. Lee, and H. D. Tolley, “Field gradient electrophoresis,” Electrophoresis, Vol. 26, No. 2, pp. 405-414, Jan. 2005.

K. F. Warnick and W. C. Chew, “Error analysis of the moment method,” IEEE Antennas and Propagation Magazine, Vol. 46, No. 6, Dec., 2004 (invited).

C. P. Davis and K. F. Warnick, “High order convergence with a low order discretization of the 2D MFIE,” IEEE Antennas and Wireless Propagation Letters, Vol. 3, No. 1, pp. 355-358, 2004.

M. A. Jensen and K. F. Warnick, “Comment on ‘Coulomb torque---a general theory for electrostatic forces in many body systems,’” Journal of Physics A:  Mathematical and General, Vol. 37, No. 24, pp. 6415-6417, 2004.

F. W. Millet and K. F. Warnick, “Validity of rough surface backscattering models,” Waves in Random Media, Vol. 14, No. 3, pp. 327-347, July 2004.  Listed on featured articles webpage, http://www.iop.org/EJ/journal/-page=featured/0959-7174/1, 6/29/2004.

F. W. Millet, D. V. Arnold, K. F. Warnick, and J. Smith, “Electromagnetic bias estimation using in situ and satellite data part I:  RMS long wave slope,” Journal of Geophysical Research-Oceans, Vol. 108, No. C2, 3040, 10 pages, 2003.

F. W. Millet, D. V. Arnold, P. Gaspar, K. F. Warnick, and J. Smith, “Electromagnetic bias estimation using in situ and satellite data part II:  A nonparametric approach,” Journal of Geophysical Research-Oceans, Vol. 108, No. C2, 3041, 10 pages, 2003.

Q. Wang, S. Lin, K. F. Warnick, and M. L. Lee, “Voltage controlled separation of proteins by electric field gradient focusing in a dialysis hollow fiber,” Journal of Chromatography A, Vol. 985, pp. 455-462, Jan. 2003.

N. Shelton and K. F. Warnick, “Behavior of the regularized sampling inverse scattering method at internal resonance frequencies,” Progress in Electromagnetic Research, vol. 38, pp. 29-45, 2002.

M. A. Jensen, R. H. Selfridge, and K. F. Warnick, “System-level microwave design projects,” IEEE Antennas and Propagation Magazine, Vol. 43, No. 5, pp. 138-142, Oct. 2001.

M. Brandfass, A. D. Lanterman, and K. F. Warnick, “A comparison of the Colton-Kirsch inverse scattering methods with linearized tomographic inverse scattering,” Inverse Problems, Vol. 17, No. 6, pp. 1797-1816, Dec. 2001.

K. F. Warnick and W. C. Chew, “Numerical simulation methods for rough surface scattering,” Invited topical review, Waves in Random Media, Vol. 11, pp. R1-R30, 2001 (invited).  This article is one of the most frequently downloaded papers for this journal.

K. F. Warnick and W. C. Chew, “On the spectrum of the electric field integral equation and the convergence of the moment method,” International Journal for Numerical Methods in Engineering, Vol. 51, No. 1, pp. 31-56, May 2001.

K. F. Warnick and W. C. Chew, “Accuracy of the method of moments for scattering by a cylinder,” IEEE Transactions on Microwave Theory and Techniques, Vol. 48, No. 10, pp. 1652-1660, Oct. 2000.

K. F. Warnick and W. C. Chew, “Convergence of moment method solutions of the EFIE for a 2D open cavity,” Microwave Optical Technology Letters, Vol. 23, No. 4, pp. 212-218, Nov. 1999.

K. F. Warnick and D. V. Arnold, “Generalization of the geometrical optics scattering limit for a rough conducting surface,” Journal of the Optical Society of America A, Vol. 15, pp. 2355-2361, 1998.

K. F. Warnick and D. V. Arnold, “Secondary dark rings of internal conical refraction,” Physical Review E, Vol. 55, No. 5, pp. 6092-6096, 1997.

K. F. Warnick and D. V. Arnold, “Green forms for anisotropic, inhomogeneous media,” Journal of Electromagnetic Waves and Applications, Vol. 11, pp. 1145-1164, 1997.

K. F. Warnick, R.H. Selfridge and D.V. Arnold, “Teaching electromagnetic field theory using differential forms,” IEEE Transactions on Education, Vol. 40, No. 1, pp. 53-68, 1997.

K. F. Warnick and D. V. Arnold, “Electromagnetic Green functions using differential forms,” Journal of Electromagnetic Waves and Applications, Vol. 10, No. 3, pp. 427-438, 1996.

K. F. Warnick, R.H. Selfridge, and D.V. Arnold, “Electromagnetic boundary conditions and differential forms,” IEE Proceedings H—Microwaves, Antennas and Propagation, Vol. 142, No. 4, pp. 326‑332, Aug 1995.

CONFERENCE PAPERS AND PRESENTATIONS

F. L. Teixeira and K. F. Warnick, “Metamaterial claddings for homotopic control of waveguide modes,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Charleston, SC, June 1-5, 2009.

K. F. Warnick, “Optimal noise matching for a phased array feed,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Charleston, SC, June 1-5, 2009.

K. F. Warnick, “MIMO communications and inverse scattering,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Charleston, SC, June 1-5, 2009.

K. F. Warnick, B. D. Jeffs, J. Landon, J. Waldron, D. A. Jones, R. Fisher, and R. Norrod, “Beamforming and imaging with the BYU/NRAO L-band phased array feed,” Proceedings of the 13th International Symposium on Antenna Technology and Applied Electromagnetics and the Canadian Radio Sciences Meeting (ANTEM/URSI), Banff, AB, Canada, Feb. 15-18, 2009.  Invited.

K. F. Warnick, B. D. Jeffs, J. Landon, J. Waldron, D. Jones, R. Fisher, and R. Norrod, “BYU/NRAO 19-element phased array feed modeling and experimental results,” URSI General Assembly, Chicago, IL, Aug. 8-15, 2008.  Invited.

M. J. Elmer, J. Landon, B. D. Jeffs, K. F. Warnick, R. Fisher, and R. Norrod, “Optimizing phased array feeds to reduce elevation dependant spillover noise in radio telescopes,” URSI General Assembly, Chicago, IL, Aug. 8-15, 2008.

J. C. Landon, B. D. Jeffs, K. F. Warnick, J. R. Fisher, R. D. Norrod, “Improved low INR interference cancellation using phased array feeds,” URSI General Assembly, Chicago, IL, Aug. 8-15, 2008.

J. S. Waldron, D. A. Jones, K. F. Warnick, and B. D. Jeffs, “Effects of focal plane array offset and beam steering on sensitivity,” Proceedings of IEEE Antennas and Propagation Society International Symposium, San Diego, CA, July 5-12, 2008.

K. F. Warnick and P. Russer, “Quantifying the noise penalty for a mutually coupled array,” Proceedings of IEEE Antennas and Propagation Society International Symposium, San Diego, CA, July 5-12, 2008.

D. A. Jones, K. F. Warnick, B. D. Jeffs, J. Landon, and J. Waldron, “Modeled and measured mutual impedances, element patterns, and sensitivity for a 19 element focal plane array,” Proceedings of IEEE Antennas and Propagation Society International Symposium, San Diego, CA, July 5-12, 2008.

C. Ullrich, K. F. Warnick, and P. Russer, “Radiation from a monopole antenna in an aperture backed by an absorbing body using a hybrid MoM/UTD approach,” Proceedings of IEEE Antennas and Propagation Society International Symposium, San Diego, CA, July 5-12, 2008.

W. Chew, C. Davis, K. F. Warnick, Z. Nie, S. Yan, and L. Gurel, “EFIE and MFIE, why the difference?,” Proceedings of IEEE Antennas and Propagation Society International Symposium, San Diego, CA, July 5-12, 2008.

K. F. Warnick, D. Jones, B. D. Jeffs, and M. A. Jensen, “Noise penalty due to mutual coupling for receive arrays,” URSI National Radio Science Meeting, Boulder, CO, Jan. 3-6, 2008.

J. Landon, D. Jones, B. D. Jeffs, K. F. Warnick, R. Fisher, and R. Norrod, “Interference cancellation and sensitivity optimization using an L-band focal plane array on the Green Bank 20m Telescope,” URSI National Radio Science Meeting, Boulder, CO, Jan. 3-6, 2008.

Y. Li, S.-L. Lin, K. F. Warnick, H. D. Tolley, M. L. Lee, “Programmed elution and peak profiles in electric field gradient focusing,” Pittcon, New Orleans, LA, Mar. 1-7, 2008.

K. F. Warnick and M. A. Jensen, “Signal and noise analysis of small antennas terminated with high impedance amplifiers,” Proceedings of 2^nd European Conference on Antennas and Propagation, Edinburgh, UK, Nov. 11-16, 2007.

B.D. Jeffs and K.F. Warnick, “Bias corrected PSD estimation with an interference canceling array,” Proc. of IEEE International Conf. Acous., Speech, and Sig. Proc., ICASSP-2007, Honolulu, HI, vol. II, pp 1145-1148, April 15-20, 2007.

K. F. Warnick, J. Waldron, J. Landon, M. Lilrose, and B. D. Jeffs, “Experimental results on interference mitigation with a 19 element array feed,” Proceedings of 2^nd European Conference on Antennas and Propagation, Edinburgh, UK, Nov. 11-16, 2007.

K. F. Warnick and A. F. Peterson, “3D MFIE accuracy improvement using regularization,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Honolulu, HI, June 10-15, 2007.

K. F. Warnick and M. A. Jensen, “Optimal noise matching condition for mutually coupled antenna arrays,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Honolulu, HI, June 10-15, 2007.

T. Sorensen and K. F. Warnick, “Inverse scattering image quality as a function of SNR,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Honolulu, HI, June 10-15, 2007.

J. R. Nagel, M. A. Lillrose, K. F. Warnick, and B. D. Jeffs, “Prototype platform for array feed development,” Proceedings of USNC/URSI National Radio Science Meeting, Albuquerque, NM, July 9-14, 2006.

K. F. Warnick and P. Russer, “Solving Maxwell’s equations using fractional wave equations,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Albuquerque, NM, July 9-14, 2006.

K. F. Warnick and M. A. Jensen, “Mutual coupling analysis of a focal plane array feed,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Washington, D.C., July 3-8, 2005.

C. P. Davis and K. F. Warnick, “3D MFIE solution improvement by regularization,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Washington, D.C., July 3-8, 2005.

C. P. Davis and K. F. Warnick, “2D MFIE solution improvement by regularization,” IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, Honolulu, Hawaii, April 3-7, 2005.

C. K. Hansen, K. F. Warnick, B. D. Jeffs, J. R. Fisher, and R. Bradley, “Interference mitigation using an array feed,” Workshop on Mitigation of Radio Frequency Interference in Radio Astronomy, Penticton, BC, Canada, July, 2004.

C. K. Hansen, K. F. Warnick, and B. D. Jeffs, “Interference cancellation using an array feed design for radio telescopes,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Monterey, CA, pp. 539-542, June 20-25, 2004.

C. P. Davis and K. F. Warnick, “The physical meaning of the Sobolev norm in error estimation,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Monterey, CA, pp. 3377-3380, June 20-25, 2004.

C. P. Davis and K. F. Warnick, “Error analysis of moment method solutions for 3D scattering problems,” Proceedings of USNC/URSI National Radio Science Meeting, Monterey, CA, p. 280, June 20-25, 2004.

K. F. Warnick, F. W. Millet, and D. V. Arnold, “Validity of backscattering models for Gaussian and power-law rough surfaces,” Proceedings of Progress in Electromagnetics Research Symposium, Pisa, Italy, March 28-31, 2004. Invited.

K. F. Warnick and D. V. Arnold, “Experimental measurements of off-nadir EM bias,” Topex/Poseidon-Jason-1 Science Working Team Meeting, poster/presentation, Arles, France, Nov. 18-21, 2003.

K. F. Warnick and D. V. Arnold, “Correlation of residual EM bias error with sea surface parameters,” Topex/Poseidon-Jason-1 Science Working Team Meeting, poster/presentation, Arles, France, Nov. 18-21, 2003.

C. Hansen, K. F. Warnick, and B. D. Jeffs, “Adaptive interference cancellation using an array feed design for radio telescopes,” Proceedings of the USNC/CNC/URSI North American Radio Science Meeting, Columbus, OH, p. 642, June 22-27, 2003.

A. Poulsen, B.D. Jeffs, C. Hansen, K. F. Warnick, and R. Fisher, “Real-time adaptive cancellation of GLONASS interference in OH signal observations at the Green Bank telescope,” Proceedings of the USNC/CNC/URSI North American Radio Science Meeting, Columbus OH, p. 641, June 22-27, 2003.

C. P. Davis and K. F. Warnick, “Convergence rates of 2D moment method solutions for the MFIE and EFIE,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Columbus, OH, Vol. 2, pp. 1080-1083, June 22-27, 2003.

F. W. Millet and K. F. Warnick, “Validity study of rough surface scattering models,” Proceedings of IEEE Antennas and Propagation Society International Symposium, Columbus, OH, pp. 565-568, June 22-27, 2003.

B. D. Jeffs, K. F. Warnick, and L. Li, “Improved interference cancellation in synthesis array radio astronomy imaging using auxiliary antennas,” Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing, Hong Kong, pp. V77-V80, May, 2003.

Q. Wang, Y. Liu, S-L. Lin, J. Liu, H. D. Tolley, K. F. Warnick and M. L. Lee, “Electromobility focusing of proteins in small channels,” 26th International Symposium on Capillary Chromatography and Electrophoresis, Las Vegas, NV, May 18-22, 2003.

K. F. Warnick and D. V. Arnold, “Verification of nonparametric SSB models and progress in theoretical bias studies,” Jason-1/TOPEX/Poseidon Scientific Working Team Meeting, New Orleans, LA, p, 55, 21-23 October, 2002.

F. W. Millet, K. F. Warnick and D. V. Arnold, “Refining electromagnetic bias estimation,” Proceedings of IEEE Geoscience and Remote Sensing Symposium, June, 2002, Vol. 4, pp. 1980-1982.

K. F. Warnick and W. C. Chew, “Error analysis of scattering amplitudes and RCS,” Proceedings of URSI National Radio Science Meeting, San Antonio, TX, p. 598, June 16-21, 2002.

K. F. Warnick, F. W. Millett, and D. V. Arnold, “Verification of nonparametric crossover difference SSB models,” Jason-1 Scientific Working Team Meeting, Biarritz, France, 10-12 June, 2002.

K. F. Warnick, F. W. Millett, and D. V. Arnold, “Theoretical sea state bias model based on RMS slope,” poster presentation, Jason-1 Scientific Working Team Meeting, Biarritz, France, 10-12 June, 2002.

K. F. Warnick, F. W. Millett, and D. V. Arnold, “Incidence angle dependence of EM bias,” poster presentation, Jason-1 Scientific Working Team Meeting, Biarritz, France, 10-12 June, 2002.

S-L. Lin, Q. Wang, H. D. Tolley, K. F. Warnick and M. L. Lee, “Electromobility focusing of proteins in a Dialysis Hollow Fiber,” 25th International Symposium on Capillary Chromatography, Riva del Garda, Italy, May 13-17, 2002.

K. F. Warnick and W. C. Chew, “High frequency asymptotic representation of the fast multipole method translation operator,” Proceedings of URSI National Radio Science Meeting, Boston, MA, p. 328, July 8-13, 2001.

M. Brandfass, A. D. Lantermann, N. B. Shelton, and K. F. Warnick, “Comparison of Colton-Kirsch linear sampling with linearized tomographic inverse scattering,” Proceedings of URSI National Radio Science Meeting, Boston, MA, p. 286, July 8-13, 2001.

Q. Wang, R. S. Shah, K. F. Warnick, F. R. Callejas, and M. L. Lee, “Hollow fiber-based electromobility focusing for proteins,” 24th International Symposium on Capillary Chromatography and Electrophoresis, Las Vegas, Nevada, May 20-24, 2001.

K. F. Warnick and W. C. Chew, “Regulated kernel for the electric field integral equation,” Proceedings of IEEE Antennas and Propagation Symposium, Salt Lake City, UT, vol. 4, p. 2310-2313, July 16-21, 2000.

F. Millett, D. V. Arnold, K. F. Warnick, and W. K. Melville, “Electromagnetic bias estimation using in situ and satellite data,” TOPEX/Poseidon Jason-1 Scientific Working Team Meeting, Miami Beach, FL, 15-17 Nov., 2000.

K. F. Warnick and W. C. Chew, “Accuracy of the higher order moment method,” Proceedings of IEEE Antennas and Propagation Symposium, Salt Lake City, UT, vol. 1, p. 464-467, July 16-21, 2000.

K. F. Warnick and W. C. Chew, “A pedestrian introduction to the accuracy and convergence of integral equation methods,” Proceedings of URSI National Radio Science Meeting, Salt Lake City, UT, p. 351, July 16-21, 2000.

K. F. Warnick and W. C. Chew, “Accuracy of the method of moments for the cylinder,” Proceedings of URSI National Radio Science Meeting, Orlando, FL, p. 84, Jul. 11-16, 1999.

K. F. Warnick and W. C. Chew, “Spectral multigrid for the electric field integral equation,” Proceedings of URSI National Radio Science Meeting, Orlando, FL, p. 9, Jul. 11-16, 1999.

K. F. Warnick and W. C. Chew, “Accuracy and conditioning of the method of moments for the 2D EFIE,” 15th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, Mar. 15-20, 1999.

K. F. Warnick and D. V. Arnold, “Generalization of the geometrical optics scattering limit for a rough conducting surface,” Proceedings of International Geoscience and Remote Sensing Symposium, Seattle, WA, July 6-10, 1998.

K. F. Warnick and D. V. Arnold, “Finite frequency generalization of the geometrical optics rough surface scattering coefficient,” Proceedings of IEEE Antennas and Propagation Symposium, Atlanta, GA, pp. 1078-1080, June 21-26, 1998.

K. F. Warnick and D. V. Arnold, “Green forms for anisotropic, inhomogeneous media,” Proceedings of Progress in Electromagnetics Research Symposium, p. 475, Cambridge, Mass., July 7-11, 1997.

D. V. Arnold, K. F. Warnick, and R. H. Selfridge, “Differential forms as a tool for electromagnetic theory,” Proceedings of Progress in Electromagnetics Research Symposium, p. 466, Cambridge, Mass., July 7-11, 1997.

K. F. Warnick, D. V. Arnold, and R. H. Selfridge,  “Electromagnetics made easy: differential forms as a  teaching tool,” Frontiers in Education Proceedings, Salt Lake City, UT, Nov. 1996.

K. F. Warnick, D. V. Arnold, and R. H. Selfridge, “Differential forms in electromagnetic field theory,” Proceedings of IEEE Antenna Propagation Symposium, pp. 1474-1477, Baltimore, Maryland, July, 1996.

R. H. Selfridge, K. F. Warnick, D. V. Arnold, “Enhancing the teaching of electromagnetics using differential forms,” Annual Conference Proceedings of the ASEE, Washington, D.C., June, 1996.

K. F. Warnick and D. V. Arnold, “Electromagnetic Green functions using differential forms,” Proceedings of Progress in Electromagnetics Research Symposium, p. 943, Seattle, Washington, July 24-28, 1995.

K. F. Warnick, R. H. Selfridge and D. V. Arnold, “Electromagnetic boundary conditions using differential forms,” Proceedings of Progress in Electromagnetics Research Symposium, p. 1106, Seattle, Washington,

July 24-28, 1995.

D. V. Arnold, R. H. Selfridge and K. F. Warnick, “Teaching electrodynamics using differential forms,” Proceedings of Progress in Electromagnetics Research Symposium, p. 939, Seattle, Washington, July

24-28, 1995.

R. H. Selfridge, D. V. Arnold and K. F. Warnick, “Teaching electrostatics and magnetostatics using differential forms,” Proceedings of Progress in Electromagnetics Research Symposium, p. 940, Seattle, Washington, July 24-28, 1995.