# Papers & Talks

**SELECTED PAPERS **

**Notice:** The material on these web pages is intended as a scientific resource for the private use of individual scholars. None of it may be used commercially or for financial gain. Some of the material is protected by copyright. Requests for permission to make public use of any of the papers should be sought from the original publisher or from Gerald Kaiser, as appropriate.

Conservation of reactive EM energy in reactive time. Invited paper, Special Session on Fundamental Considerations of Electromagnetic Energy and Interactions: Theory and Applications, IEEE AP-S Symposium on Antennas and Propagation and URSI CNC/USNC Joint Meeting, Vancouver, BC, July 2015

Completing the complex Poynting theorem: Conservation of reactive energy in reactive time. Preprint, 2014

Electromagnetic helicity wavelets: a model for quasar engines? Preprint, 2012

Huygens' principle in classical electrodynamics: a distributional approach, Advances in Applied Clifford Algebras, Vol. 22, # 3 (2012), Pages 703-720

The Reactive Energy of Transient EM Fields. IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, Session 563, July 13, 2012

Electromagnetic inertia, reactive energy, and energy flow velocity. J. Phys. A: Math. Theor. 44 (2011) 345206

Huygens' principle with complex spheres (with Thorkild Hansen), Transactions on Antennas and Propagation: Vol. 59 No. 10, 2011

Coherent electromagnetic wavelets and their twisting null congruences. Preprint, March, 2011

Generalized Huygens principle with pulsed-beam wavelets (with Thorkild Hansen), J. Phys. A: Math. Theor. 42 (2009) 475403

The Inverse Source Problem for Wavelet Fields (with A J Devaney, A Marengo, R Albanese, and G Erdmann). IEEE TRANS. ANTENNAS AND PROPAGATION, Vol. 56 No. 10, 2008

Extended wave propagators as pulsed-beam communication channels. Plenary lecture, Days on Diffraction, St. Petersburg, Russia, May 30-June 2, 2006

Analytic Pulsed-Beam Communication Channels. PIERS 2006, Cambridge, MA, March 26-29, 2006

Pulsed-Beam Wavelets and Wave Equations. IMA Workshop on Imaging from Wave Propagation, Minneapolis, MN, October 17-21, 2005

Making electromagnetic wavelets II: Spheroidal shell antennas. J. Phys. A: Math. Gen. 38 (2005) 495 - 508

Eigenwavelets of the Wave equation. In *Harmonic Analysis, Signal Processing, and Complexity,* I. Sabadini, D.C. Struppa and D.F. Walnut, editors, Birkhauser, 2005, pages 121 - 134

Distributional sources for Newman's holomorphic Coulomb fields. J. Phys. A: Math. Gen. 37 (2004) 8735 - 8745

Making electromagnetic wavelets. J. Phys. A: Math. Gen. 37 (2004) 5929 - 5947

Energy-momentum conservation in pre-metric electrodynamics with magnetic charges. J. Phys. A: Math. Gen. 37 (2004) 7163 - 7168

Helicity, polarization, and Riemann-Silberstein vortices. J. Opt. A: Pure Appl. Opt. 6 (2004) S243 - S245

Physical wavelets and their sources: Real physics in complex spacetime. Topical Review, *Journal of Physics A: Mathematical and General* Vol. 36, Nr. 30, R291 - R338, 2003

Complex-distance potential theory, wave equations, and physical wavelets (PDF, 1.2MB). Invited paper, Special Issue on Clifford Analysis in Applications, F. Sommen and W. Sproessig, Editors.*Mathematical Methods in the Applied Sciences* 25:1577 - 1588, 2002

Communications via holomorphic Green functions. In *Clifford Analysis and its Applications,* edited by F. Brackx, J.S.R. Chisholm and V. Soucek, Kluwer NATO Science Series, 2001

Complex-distance potential theory and hyperbolic equations, in *Clifford Algebras and their Applications in Mathematical Physics, Volume 2: Clifford Analysis* J. Ryan and W. Sproessig (Editors), Birkhauser-Boston, 2000

Physical source realization of complex-source pulsed beams (PDF, 376K) (with E. Heyman and V. Lomakin). Journal of the Acoustical Society of America, Vol. 107, pp. 1880 - 1891, 2000

*Highly focused pulsed-beam wavelets,* Radar Processing, Technology, and Applications IV, SPIE Conference Proceedings #3810, Denver, CO, July 21 - 22, 1999

Directed electromagnetic wavelets, in *Intense Microwave Pulses VI,* SPIE Conference Proceedings #3702, Orlando, FL, April, 1999.

*New results on pulsed-beam wavelets,* invited paper, in *Wavelet Applications VI,* SPIE Conference Proceedings #3723, Orlando, FL, April, 1999.

*Electromagnetic pulsed-beam wavelets for radar,* Invited paper, 28th European Microwave Conference, Amsterdam, October 5 - 9, Miller Freeman, 1998.

*Wavelet analysis as a wideband generalization of time-frequency analysis,* Invited paper, 136th Meeting of the Acoustical Society of America, JASA Vol. 104 #3, September 1998.

The fast Haar transform: Gateway to wavelets, *IEEE Potentials Magazine,* April/May, 1998.

Recovery of Kolmogorov statistics in thermal mixing in the troposphere: The hazards of real data (with L. Rossi and D. Washburn), in *Airborne Laser Advanced Technology,* SPIE Conference Proceedings #3381, Orlando, FL, April, 1998.

Short-pulse radar via electromagnetic wavelets (PDF, 100K), in *Ultra-Wideband, Short-Pulse Electromagnetics 3,* C E Baum, L Carin and A P Stone, eds., Plenum Press, 1997.

Scale filtering in the wavelet domain, in *Proceedings of the 30th Asilomar Conference on Signals, Systems, and Computers,* Pacific Grove, CA, November, 1996.

Wavelet filtering in the scale domain, in *Wavelet Applications in Signal and Image Processing,* IEEE Conference Proceedings #2825, Denver, CO, August, 1996.

Wavelet filtering in the scale domain, invited paper, in *Wavelet Applications III,* SPIE Conference Proceedings #2762, Orlando, FL, April, 1996.

Wavelet filtering with the Mellin transform, in *Applied Mathematics Letters* **9** #5, 69 - 74, 1996.

Physical wavelets and radar (PDF, 408K), IEEE *Antennas and Propagation Magazine,* February, 1996.

A variational approach to radar signal analysis, invited paper, in *Proceedings of the 29-th Asilomar Conference on Signals, Systems, and Computers,* Pacific Grove, CA, October, 1995.

Physical wavelets and ambiguity functionals: A new tool for radar, invited paper given at the *Progress in Electromagnetics Research Conference* (PIERS), Seattle, WA, July, 1995.

Remote sensing with electromagnetic and acoustic wavelets: A variational approach, invited paper, in *Wavelet Applications for Dual Use,* SPIE Conference Proceedings #2491, Orlando, FL, April, 1995.

Wavelet electrodynamics, part II: Atomic composition of electromagnetic waves, in *Applied and Computational Harmonic Analysis* **1**, 246 - 260, 1994.

Deformations of Gabor frames, in *Journal of Mathematical Physics* **35**, 1172 - 1376, 1994.

Wavelet electrodynamics, in *Wavelet Analysis and Applications,* Y. Meyer and S. Roques, eds., Editions Frontieres, Paris, 1993.

Space-time-scale analysis of electromagnetic waves, in *Proceedings of IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis* Victoria, Canada, 1992.

Wavelet electrodynamics I, in *Physics Letters A* **168** 28 - 34, 1992.

Windowed Radon transforms, analytic signals, and the wave equation (with R. F. Streater), in *Wavelets: A Tutorial in Theory and Applications,* edited by C.K. Chui, Academic Press, New York, pp. 399 - 441, 1992.

An algebraic theory of wavelets I. Operational calculus and complex structure (PDF, 368K), in SIAM *Journal of Mathematical Analysis* **23**, 222 - 243, 1992.

Generalized Wavelet Transforms II: The Multivariate Analytic-Signal Transform (PDF, 320K), Technical Report #19, University of Lowell Department of Mathematical Sciences, 1990.

Generalized Wavelet Transforms I: The Windowed X-Ray Transform (PDF, 280K), Technical Report #18, University of Lowell Department of Mathematical Sciences, 1990.

Quantized fields in complex spacetime (PDF, 416K) *Annals of Physics* **173**, 338 - 354, 1987.

*A sampling theorem in the joint time-frequency domain* (unpublished) (PDF, 88K)

Phase-space approach to relativistic quantum mechanics III: Quantization, relativity, localization and gauge freedom (PDF, 572K). *J. Math. Phys.* **22**, 705 - 714, 1981.

Holomorphic gauge theory, in *Geometric Methods in Mathematical Physics,* G. Kaiser and J.E. Marsden, eds., Lecture Notes in Mathematics # 775, Springer-Verlag, New York, 1980.

*Local Fourier analysis and synthesis, with applications* (PDF, 144K), unpublished. NSF Proposal #MCS-7822673, 1978.

Phase-space approach to relativistic quantum mechanics II: Geometrical aspects (PDF, 296K). *J. Math. Phys.* **19**, 502 - 507, 1978.

Phase-space approach to relativistic quantum mechanics I: Coherent-state representations for massive scalar particles (PDF, 384K). *J. Math. Phys.* **18**, 952 - 959, 1977.

Relativistic coherent-state representations, Conference on Group-Theoretical Methods in Physics, Montreal, 1976 (PDF, 124K). In *Group-Theoretical Methods in Physics,* R. Sharp and B. Coleman, eds., Academic Press, NY, 1977.

Coherent states and asymptotic representations, *Third International Colloquium on Group-Theoretical Methods in Physics,* Marseille, 1974.