Kurt Oughstun at Geiranger Fjord during the 1997 Norwegian ElectroOptics Conference.

Kurt Edmund Oughstun, Ph.D.
Professor of Engineering & Mathematical Sciences
University of Vermont
Burlington, VT 054050156
(802) 6564301
Kurt.Oughstun@uvm.edu
Photo Album
Memorable Undergrads
Graduate Students Completed
I Know a Professor who Gave a Hard Test


Course Information

EE 100 Syllabus 
EE 100 Lecture Notes  Chapter 1 
EE 100 Lecture Notes  Chapter 2  4 
EE 141 Syllabus 
EE 141 Lecture Notes (V. 5) 
EE 195 Syllabus 
ENGR 201 Lecture Notes 
EE 209 Syllabus 
EE 209 Readings 
EE 241 Lecture Notes 

Areas of Expertise:
Basic research experience in electromagnetic and optical field theory, wave propagation phenomena, and applied mathematics.
Specific research interests include asymptotic analysis, the frequency domain and timedomain representations of electromagnetic, optical, and acoustic wave fields, electromagnetic properties of dielectric, conducting, and semiconducting materials, diffraction and scattering theory, coherence theory, the rigorous description of dispersive pulse propagation in both linear and nonlinear media and waveguiding structures, nonlinear optics, and laser physics.
Applied research interests in ultrawidebandsignal, ultrashortpulse electromagnetic field characteristics, impulse radar systems, image formation and analysys, stable and unstable open optical cavity mode properties, optical beam transfer systems, adaptive optics, integrated optics devices, and fiber optics communications systems.

Graduate Research Opportunities
Current research topics include imaging through complex media and systems, molecular optics and pulsed inverse optics.
Interested students with engineering, physics, or applied mathematics backgrounds are encouraged to contact me via email
at the above address.

Selected Publications:
(Copyrighted material. Single copy download for personal research use only is permitted.)

Adaptive Optics Control System Papers 
Intracavity Adaptive Optics Mode Control System for an Open Unstable Resonator.

"Intracavity Adaptive Optic Compensation of Phase Aberrations I" J. Opt. Soc. Am. 71,7,862 (1981).
(.pdf file)
"Intracavity Adaptive Optics 2: Tilt Correction Performance" Applied Optics 20, 11, 1926 (1981).
(.pdf file)
"Intracavity Adaptive Optics 4: Comparison of Theory & Experiment" Applied Optics 23, 10, 1529 (1984).
(.pdf file)
"Aberration Sensitivity of UnstableCavity Geometries" (Review) J. Opt. Soc. Am. A 3, 8, 1113 (1986).
(.pdf file)

Unstable Resonator Mode Property Papers 

Passive (top) and Active (bottom)
ThreeDimensional Field Distributions
in an Open Unstable Resonator

"Unstable Cavity Sensitivity to Spatially Localized Intracavity Phase Aberrations", J. Opt. Soc. Am. A 3, 10,1585 (1986).
(.pdf file)
"SecondOrder Theory of the Aberration Sensitivity of a PositiveBranch, Confocal Unstable Cavity", J. Opt. Soc. Am. A 3, 11, 1876 (1986).
(.pdf file)
"ThreeDimensional Field Structure in Open Unstable Resonators. Part I: Passive Cavity Results," Optics Express 4, 388
(1999)." (.pdf file)
"ThreeDimensional Field Structure in Open Unstable Resonators. Part II: Active Cavity Results," Optics Express 4, 400
(1999).
(.pdf file)

Electromagnetic Wave Theory Papers 
Kurt Oughstun at James Clerk Maxwell's house, Edinburgh, Scotland (2000)

"Polarization Properties of the Freely Propagating Electromagnetic Field of Arbitrary Spatial and Temporal Form" J. Opt. Soc. Am. A 9, 4, 578 (1992).
(.pdf file)
"Asymptotic Description of Pulsed Ultrawideband Electromagnetic Beam Field Propagation in Dispersive, Attenuative Media" J. Opt. Soc. Am. A 18, 7, 1704 (2001).
(.pdf file)

Dispersive Medium Property Papers 
Magnetic Correction Factor for the Transverse Atomic Polarizability for several values of the relative local field strength.

"On the LorentzLorenz Formula and the Lorentz Model of Dielectric Dispersion" Optics Express 11, 13, 1541 (2003).
(.pdf file)
"On the LorentzLorenz Formula and the Lorentz Model of Dielectric Dispersion: Addendum" Optics Express 11, 21, 2791 (2003).
(.pdf file)
"Magnetic Field Contribution to the Lorentz Model" J. Opt. Soc. Am. A 23, 7, 1751 (2006).
(.pdf file)

Dispersive Pulse Propagation Papers 
Dynamical field evolution of an input
0.2fsec Gaussian envelope pulse with
intraabsorption band carrier frequency
in a single resonance Lorentz model
dielectric. Notice the breakup of the
pulse into separate Sommerfeld
precursor and Brillouin precursor pulse
components as the propagation distance
increases.
Propagated Pulse Sequence of a Unit Amplitude Single Cycle Pulse with a 1 GHz carrier frequency in water.
Propagated Pulse Sequence of a Unit Amplitude Brillouin Pulse with a 1 Ghz effective frequency in water.

"Uniform Asymptotic Theory of Pulse Propagation in Lorentz Media," Proc.URSI Symposium on Electromagnetic Wave Theory, PP3436 (1977) (.pdf file)
"Description of Pulse Dynamics in Lorentz Media in Terms of the Energy Velocity and Attenuation of TimeHarmonic waves," Physical Review Letters 47, 20 (1981) (.pdf file)
"Propagation of Electromagnetic Pulses in a Linear Dispersive Medium with Absorption (the Lorentz Medium)", J. Opt. Soc. Am. B 5, 4, 817 (1988).
(.pdf file)
"Uniform Asymptotic Description of Electromagnetic Pulses in a Linear Dispersive Medium with Absorption (the Lorentz Medium)", J. Opt. Soc. Am. A 6, 9, 1394 (1989).
(.pdf file)
"Numerical Analysis of the Precursor Fields in Linear Dispersive Pulse Propagation", J. Opt. Soc. Am. A 6, 9, 1421 (1989).
(.pdf file)
"Dispersive Pulse Propagation in a DoubleResonance Lorentz Medium", J. Opt. Soc. Am. B 6, 5, 948 (1989).
(.pdf file)
"Asymptotic Description of Ultrashort Electromagnetic Pulse Propagation in a Linear, Causally Dispersive Medium," Proc. 1989 URSI International Symposium on Electromagnetic Theory, pp. 497499 (Royal Institute of Technology, Stockholm, Sweden, 1989).
(.pdf file)
"Uniform Asymptotic Description of Ultrashort Rectangular Optical Pulse Propagation in a Linear, Causally Dispersive Medium", Phys. Rev. A 41, 11, 6090 (1990).
(.pdf file)
"Uniform Asymptotic Description of Ultrashort GaussianPulse Propagation in a Causal, Dispersive Dielectric", Phys. Rev. E 47, 5, 3645 (1993).
(.pdf file)
"Asymptotic Theory of Dispersive Acoustic Pulse Propagation," 1993 Scandinavian Meeting in Physical Acoustics, pp. 1920 (Ustaoset, Norway, 1993). Acientific/Technical Report No. 199306, Dept. of Physics, University of Bergen, Norway.
(.pdf file)
"EnergyVelocity Description of Pulse Propagation in Absorbing, Dispersive Dielectrics", J. Opt. Soc. Am. B 12, 2, 229 (1995).
(.pdf file)
"Transients in Chiral Media with Single Resonance Dispersion: Comment", J. Opt. Soc. Am. A 12, 3, 626 (1995).
(.pdf file)
"Noninstantaneous, Finite RiseTime Effects on the Precursor Field Formation in Linear Dispersive Pulse Propagation", J. Opt. Soc. Am. A 12, 8, 1715 (1995).
(.pdf file)
"Gaussian Pulse Propagation in a Dispersive, Absorbing Dielectric", Physical Review Letters 77, 11 (1996) (.pdf file)
"Generalized Asymptotic Description of the Propagated Field Dynamics in Gaussian Pulse Propagation in a Linear, Causally Dispersive Medium", Phys. Rev. E 55, 2, 1910 (1997).
(.pdf file)
"Failure of the Quasimonochromatic Approximation for Ultrashort Pulse Propagation in a Dispersive, Attenuative Medium," Physical Review Letters 78, 4 (1997) (.pdf file)
Failure of the GroupVelocity Description for Ultrawideband Pulse Propagation in a Causally Dispersive, Absorptive Dielectric, J. Opt. Soc. Am. B 16, 10, 1773 (1999).
(.pdf file)
"Dynamical Evolution of the Brillouin Precursor in RocardPowlesDebye Model Dielectrics, IEEE Trans. Antennas & Propagation 53", 5, 1582 (2005).
(.pdf file)
"Uniform Asymptotics Applied to Ultrawideband Pulse Propagation," SIAM Review 49, 4, 628 (2007).
(.pdf file)
"Ultrawideband Pulse Propagation through a homogeneous, Isotropic, Lossy Plasma," Radio Sci.44, 4013 (2009)
(.pdf file)
"Pulse Propogation in a Debye Medium with Static Conductivity," Proceeding 2009 IEEE APS/URSI Symposium, paper # 330.1 (2009)
(.pdf file)
"Brillouin Precursor Decay in Dispersive Attenuation Materials," Proceeding 2009 IEEE APS/URSI Symposium, paper # 528.5 (2009)
(.pdf file)
"On The Use and Application of Precursor Waveforms," Proceedings 13th International Symposium on Antenna Technology and Applied Electromagnetics, TP1:14 (2009)
(.pdf file)
"Beer's Law and the Unique Penetration Properties of the Brillouin Precursor in Complex Media," Proceedings 2010 IEEE APS/URSI Symposium, paper # 425.5 (2010)
(.pdf file)
"Optical Precursors in the Singular and Weak Dispersion Limits," J.Opt.Soc.Am.B 27,8,1664 (2010)
(.pdf file)
"A Brief Overview of Electromagnetic Precursors," Proc. International Conference on Electromagnetics in Advanced Applications (ICEAA 2011), pp. 287290 (2011).
(.pdf file)

Pulse Velocity Measure Papers 
Angular Frequency Dispersion of the Phase, Group, and Energy Velocities in a Lorentz model Dialectric.

"Velocity of Energy Transport for a TimeHarmonic Field in a MultipleResonance Lorentz Medium" J. Opt. Soc. Am. B 5, 11, 2395 (1988).
(.pdf file)
"Numerical Determination of the Signal Velocity in Dispersive Pulse Propagation" J. Opt. Soc. Am. A 6, 9, 1430 (1989).
(.pdf file)
"Dispersive Pulse Dynamics and Associated Pulse Velocity Measures," Journal of the European Optical Society A: Pure and Applied Optics 4, S125 (2002)
(.pdf file)
"Pulse Centroid Velocity of the Poynting Vector" J. Opt. Soc. Am. A 21, 3, 439 (2004).
(.pdf file)
"Physical Significance of the Group Velocity in Dispersive, Ultrashort Gaussian Pulse Dynamics" J. Modern Optics 52, 8, 1089 (2005).
(.pdf file)

Ultrashort Pulse Measurement Papers 
Ultrawideband to Narrowband Pulse Spectra in a Double Resonance Lorentz model dielectric.

"Influence of Precursor Fields on Ultrashort Pulse Autocorrelation Measurements and Pulse Width Evolution" Optics Express 8, 8, 481 (2001).
(.pdf file)

Nonlinear Optics Papers 
Nonlinear spacetime evolution of the envelope of a 3 oscillation
gaussian pulse with 18.8fs initial pulse width using the full material
dispersion. The time axis spans the interval 125fs
Nonlinear spacetime evolution of the envelope of a 3 oscillation
gaussian pulse with 18.8fs initial pulse width using the quadratic
approximation of the linear material dispersion. The time axis spans the
interval 125fs.

"Optical Precursor Fields in Nonlinear Pule Dynamics," Optics Express 18,22,23104 (2010)
(.pdf file)

Electromagnetic Tracker Papers & Code 

"Error Analysis of 3D Electormagnetic Trackers"
MSc Thesis, K. Gallo (2012)
Tracker Code Files

Bioelectromagnetics Papers 

"Reflection and Transmission of Pulsed Electromagnetic Fields through
Multilayered Biological Media," Proc. International Conference on
Electromagnetics in Advanced Applications (ICEAA 2011), pp. 283286 (2011).
(.pdf file)

Research Seminars 
2012 IEEE Microwave Theory & Techniques Symposium (Montreal, Canada).

Dispersive Pulse Dynamics  Few Cycle Limit
(.pdf file)
Dispersive Pulse Propagation
(.pdf file)


