Research Interests
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) 2065-2080.
- Brent, R.I., Ormsby, J.A. (1994). Electromagnetic Propagation in 3-D Environments Using the Gaussian Beam Method (5). Joint Electronic Warfare Center Technical report
- Brent, R.I., Ormsby, J.A. (1994). Numerical Soultion of Scalar Electromagnetic Propagation Problems Using Parabolic Equations and the Split-Step Pade Approximation (4). Joint Electronic Warfare Center Technical report
- Brent, R.I. (1994). SSP: Program User's Manual (5). Joint Electronic Warfare Center Technical report
- 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) 1121-1136.
- Brent, R.I., Siegmann, W., Jacobson, M., Jacyna, G. (1990). Anisotropic electromagnetic wave propagation modeling using parabolic approximations. Radio science, 25(6) 1121–1136.
- Brent, R.I., Byrne, C.L. (1990). Ocean Current Profiling using Acoustic Perturbative Methods (11). Department of Mathematics Technical Report
- Byrne, C.L., Brent, R.I., 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) 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) 1765-1776.
- Brent, R.I., Jacobson, M.J., Siegmann, W.L., Bongiovani, K.P. (1988). Modified Parabolic Approximation Implementation for Isotropic EM Wave Propagation (167). Mathematics Report
- 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) 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.