Acoustic and electromagnetic wave propagation in terrestrial environments, numerical solution of PDE's, parabolic approximation methods

Education

Ph D: Mathematics, (1987), Rensselaer Polytechnic Institute, Department of Mathematical Sciences - Troy, NY Dissertation/Thesis Title: Environmental effects on acoustic and electromagnetic wave propagation using parabolic approximations

MS: Applied Mathematics, (1984), Rensselaer Polytechnic Institute, Department of Mathematical Sciences - Troy, NY

BS: Mathematics with Specialization in Computer Science, (1982), State University of New York at Binghamton - Binghamton, NY

Selected Publications

Mueller, G., Brent, R.I. (2005) "Just-in-time: Algebra and Trigonometry for Early Transcendental Calculus," Addison-Wesley

Brent, R.I. (2000) "Theoretical and Numerical Validation of Scaler EM Propagation Modeling Using Parabolic Equations and the Pade Rational Operator Approximation," DTIC Document

Brent, R.I., Ormsby, J.F. (1995) "Scalar electromagnetic propagation modelling using parabolic equations and the split-step Pade approximation," Journal of Physics A: General Physics 28:7 pp. 2065-2080

Brent, R.I., Ormsby, J.A. (1994) "Electromagnetic Propagation in 3-D Environments Using the Gaussian Beam Method," Joint Electronic Warfare Center Technical report 5

Brent, R.I., Ormsby, J.A. (1994) "Numerical Soultion of Scalar Electromagnetic Propagation Problems Using Parabolic Equations and the Split-Step Pade Approximation," Joint Electronic Warfare Center Technical report 4

Brent, R.I. (1994) "SSP: Program User's Manual," Joint Electronic Warfare Center Technical report 5

Brent, R.I., Fishman, L. (1992) "Derivation of Extended Parabolic Theories for Vector Electromagnetic Wave Propagation: Part II,"

Brent, R.I., Siegmann, W.L., Jacobson, M.J. (1990) "Parabolic Approximations for Atmospheric Propagation of EM Waves, Including the Terrestrial Magnetic Field," Radio Science 25:6 pp. 1121-1136

Brent, R.I., Siegmann, W., Jacobson, M., Jacyna, G. (1990) "Anisotropic electromagnetic wave propagation modeling using parabolic approximations," Radio science 25:6 pp. 1121–1136

Brent, R.I., Byrne, C.L. (1990) "Ocean Current Profiling using Acoustic Perturbative Methods," Department of Mathematics Technical Report 11

Brent, R.I., Byrne, C.L., Feuillade, C., DelBalzo, D.R. (1990) "Stable Data Adaptive Methods for Matched Field Array Processing in Acoustic Waveguides," Journal of the Acoustical Society of America 87:6 pp. 2493-2502

Brent, R.I., Jacobson, M.J., Siegmann, W.L. (1988) "Sound Propagation through Random Currents using Parabolic Approximations," Journal of the Acoustical Society of America 84:5 pp. 1765-1776

Brent, R.I., Jacobson, M.J., Siegmann, W.L. (1987) "Effects of Uniform Horizontal Currents in the Parabolic Approximation Method," Journal of the Acoustical Society of America 82:2 pp. 545-559

Selected Presentations

Mass MAJIC: Mathematics Advice to Juniors for Informed Choices - First Annual Conference on Mathematics and Quantitative Thinking, June 1997 - UMass Boston

Modeling Electromagnetic Wave Propagation in Complicated Terrestrial Environments using Parabolic Equations and the Pade Rational Operator Approximation - Applied Mathematics Seminar, October 1995 - Lowell, MA

Modeling Electromagnetic Wave Propagation in Complicated Terrestrial Environments using Parabolic Equations and the Pade Rational Operator Approximation, March 1995 - Hanscom A.F.B., Lexington, MA

Application of the Split-Step Pade Approximation to Electromagnetic Propagation Modeling - Beyond Line-Of-Sight Conference, August 1994 - Austin, TX

Numerical Modeling of Electromagnetic Wave Propagation using Gaussian Beams - Beyond Line-Of-Sight Conference, August 1994 - Austin, TX

Propagation of Electromagnetic Waves in Complex 3-D Environmentas using Gaussian Beams - Beyond Line-Of-Sight Conference, August 1994 - Austin, TX

Application of the Split-Step Pade Approximation to Electromagnetic Propagation Modeling, June 1994 - Joint Electronic Warfare Center, Kelly A.F.B., San Antonio, TX

Numerical Modeling of Electromagnetic Wave Propagation: Computer Implementation of SSP, the Split-Step Pade Routine, January 1994 - Joint Electronic Warfare Center, Kelly A.F.B., San Antonio, TX

Numerical Modeling of Electromagnetic Wave Propagation: Adaptation of 3-D Ray Trace HARPO to Include Gaussian Beams, August 1993 - Joint Electronic Warfare Center, Kelly A.F.B., San Antonio, TX

Numerical Modeling of Electromagnetic Wave Propagation: Gaussian Beam Propagation Modeling, July 1993 - Joint Electronic Warfare Center, Kelly A.F.B., San Antonio, TX

Numerical Methods for Computational Electromagnetics - Computational Electromagnetics Workshop, December 1992 - Hanscom A.F.B., Lexington, MA

Harmonic Analysis in the Phase Space: Applications to Direct and Inverse Wave Propagation - 113th IMACS World Congress on Computational Applied Mathematics, June 1992 - Dublin

Application of Pseudo Differential Operator Methods to the Derivation of Extended Parabolic Vector Wave Equations - The National Radio Science Meeting, January 1992 - Boulder, CO

Application of Pseudo-Differential Operator Methods to the Derivation of Extended Parabolic Vector Wave Equations, August 1991 - Center for Electromagnetic Research, Northeastern University

Use of Pseudo-Differential Operator Theory in the Derivation of One-Way Vector Wave Equations - Third IMACS Symposium on Computational Acoustics, July 1991 - Cambridge, MA

Modeling of Electromagnetic Propagation in the Atmosphere, December 1990 - J.E.W.C., Kelly Air Force Base, San Antonio, TX

Derivation of Extended Parabolic Theories for Vector Electromagnetic Wave Propagation - New Directions in Electromagnetic Wave Propagation, October 1990 - New York, N.Y.

Derivation of Extended Parabolic Theories for Vector Electromagnetic Wave Propagation - Department of Electrical Engineering Seminar, September 1990 - Lowell, MA

Derivation of Extended Parabolic Theories for Vector Electromagnetic, August 1990 - Analytical Sciences Corporation, Reading MA

Wave Propagation Models for Underwater Acoustics - Short Course for N.U.S.C. employees, October 1989 - New London, CT

Parabolic Approximations for Atmospheric Propagation of Electromagnetic Waves Including the Terrestrial Magnetic Field, July 1989 - Colorado School of Mines, Center for Wave Phenomena, Golden CO

Propagation Modeling using Parabolic Approximations for Complicated Terrestrial Environments Including the Earth's Magnetic Field, November 1988 - Stennis Space Center, MS

Parabolic Approximations for Atmospheric Propagation of EM Waves, Including the Terrestrial Magnetic Field - Applied Mathematics Seminar, February 1988 - Lowell, MA

Sound Propagation through Random Currents using Parabolic Approximations - Applied Mathematics Seminar, February 1987 - Lowell, MA

Sound Propagation through Random Currents using Parabolic Approximations - 112th meeting of the Acoustical Society of America, December 1986 - Anaheim, CA

The Fluid Mechanics of Quenching - Rensselaer Polytechnic Institute Mathematical Modeling Seminar, May 1983 - Troy, N.Y.