## Expertise

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

## 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.