# Publications

## Publications

### (updated 9/1/23)

Underlined titles have links to open access papers.

"Four-wave mixing in a Bloch two-level system with incoherent laser light having a Lorentzian spectral density: Analytic solution and a diagrammatic approach,'' with A.C. Albrecht, Phys. Rev. A 53, 1081 (1996).

"Femtosecond temporal probes using spectrally tailored noisy quasi-cw laser light,'' with D.C. DeMott and A.C. Albrecht, Phys. Rev. A 55, 761 (1997).

"Frequency and time resolved coherent Stokes Raman scattering in CS2 using incoherent light,'' with M.J. Stimson and A.C. Albrecht, Chem. Phys. Lett. 263 185 (1996).

"High contrast interferometry based on anti-Stokes stimulated Raman scattering with broadband and narrowband quasi-cw laser light,'' with M.J. Stimson and A.C.Albrecht, Optics Lett. 22, 433 (1997).

"A theory of time resolved coherent Raman scattering with spectrally tailored noisy light,'' A.C. Albrecht, J. Raman Spectrosc. 28, 571 (1997).

"Time resolved coherent Raman spectroscopy controlled by spectrally tailored noisy light,'' with M.J. Stimson and A.C. Albrecht, J. Raman Spectrosc. 28, 579 (1997).

"Interferometric down-conversion of high frequency molecular vibrations with time--frequency resolved coherent Raman scattering using quasi-cw noisy light: C-H stretching modes of chloroform and benzene,'' with M.J. Stimson, J.C. Kirkwood and A.C. Albrecht, J. Phys. Chem. 101, 4587 (1997).

"Frequency resolved interferometric coherent Raman spectroscopy with incoherent light: Raman frequency shifts, dephasing rate constants and nonresonant hyperpolarizabilities of mixtures of benzene in hexane,'' with M.J. Stimson, J.C. Kirkwood and A.C. Albrecht, Chem. Phys. 222, 17 (1997).

"Direct observation of the resonant-nonresonant cross-term contribution to coherent Raman scattering of quasi-cw noisy light in molecular liquids," with M.J. Stimson, J.C. Kirkwood and A.C. Albrecht J. Raman Spectrosc. 28, 917 (1997).

"Theory of coherent Raman scattering with quasi-cw noisy light for a general lineshape function," with J.C. Kirkwood, M.J. Stimson, and A.C. Albrecht, J. Chem. Phys. 107, 7127 (1997).

"Noisy light correlation functions by frequency resolved optical gating," with M.J. Stimson, J.C. Kirkwood, G. Boutis and A.C. Albrecht, J. Opt. Soc. B 15, 505 (1998).

"Coherent Raman scattering with incoherent light for a multiply resonant mixture: Theory," with J.C. Kirkwood, M.J. Stimson, and A.C. Albrecht, Phys. Rev. A 57, 1417 (1998).

"Competitive events in fifth order time resolved coherent Raman scattering: Direct versus sequential processes," with J.C. Kirkwood and A.C. Albrecht, J. Chem. Phys. 108, 3897 (1998).

"Electronically nonresonant coherent Raman scattering using incoherent light: Two Brownian oscillator approaches," with J.C. Kirkwood and A.C. Albrecht, J. Chem. Phys. 108, 9425 (1998).

Raman scattering from a Brownian oscillator with non-ohmic Drude dissipation: Applications to continuous wave, impulsive and noisy excitation," with J.C. Kirkwood and A.C. Albrecht, J. Chem. Phys. 109, 4478 (1998).

"Coherent Raman scattering with incoherent light for a multiply resonant mixture: A factorized time correlator diagram analysis," with J.C. Kirkwood and A.C. Albrecht, Phys, Rev. A 58, 4910 (1998).

On the mechanism of vibrational dephasing in liquid benzene by coherent anti-Stokes Raman scattering using incoherent light," with J.C. Kirkwood and A.C. Albrecht, Chem. Phys. Lett. 293, 167 (1998).

"Raman spectrograms in fifth order coherent Raman scattering: The sequential CARS process in liquid benzene," with J.C. Kirkwood and A.C. Albrecht, Chem. Phys. Lett. 293, 417 (1998).

"Time-frequency resolved coherent Raman scattering from molecular liquids and their mixtures with quasi-cw noisy light: I(2)CRS spectrograms," with M.J. Stimson, J.C. Kirkwood and A.C. Albrecht Laser Chem. 19, 11 (1999).

"On librational broadening of vibratrional transitions in liquids: a simple model," with J.C. Kirkwood and A.C. Albrecht Chem. Phys. 240, 109 (1999).

"Fifth order nonlinear Raman processes in molecular liquids using quasi-cw noisy light I. Theory," with J.C. Kirkwood and A.C. Albrecht J Chem. Phys. 111, 253 (1999).

"Fifth order nonlinear Raman processes in molecular liquids using quasi-cw noisy light II. Experiment," with J.C. Kirkwood and A.C. Albrecht J Chem. Phys. 111, 272 (1999).

"Raman spectrograms for high sensitivity probing of nonlinear hyperpolarizabilities and C-H stretching frequency shifts in acetonitrile/water liquid mixtures," with J.C. Kirkwood, M.J. Stimson and A.C. Albrecht Asian J. Phys. 7, 405 (1999). (invited paper).

"Investigating collisional broadening of spectral lines using a tuning fork: An undergraduate laboratory," with A.L. Boreen, R.L. Coons and B.A. Luther Am. J. Phys. 68, 768 (2000).

"On the classification of the electric field spectroscopies: Application to Raman scattering," with J.C. Kirkwood and A.C. Albrecht J. Phys. Chem. A 104, 4167 (2000).

"Effects of noise on parameter recovery from Raman spectrograms," with J.M. Dawlaty J. Raman Spectrosc. 32, 211 (2001).

"Raman spectroscopy," with J.C. Kirkwood and A.C. Albrecht in the Encyclopedia of Chemical Physics and Physical Chemistry, J.H. Moore and N.D. Spencer Eds. (IOP Publishing, Williston, VT, 2001).

"Factorized time correlation diagram analysis of paired causal systems excited by twin stochastic driving functions," with D.P. Biebighauser and D.B. Turner Phys. Rev. E 65, 026142 (2002).

"General counting formulae for factorized time correlation diagram analysis," with D.P. Biebighauser and J. Gregoire. Physica A, 320, 1 (2003).

"On the role of classical field time correlations in noisy light spectroscopy: color locking and a spectral filter analogy," J. Phys. Chem A, 107, 8111 (2003) (invited contribution to the Andreas C. Albrecht memorial issue).

"Factorized time correlation diagram analysis of Raman induced Kerr effect spectroscopy using noisy light," with D.B. Turner J. Chem. Phys. 119, 10745 (2003).

"Complete cancellation of noise via color-locking in nearly degenerate four-wave-mixing using noisy light," with T.F. Schulz, P.P. Aung, L.R. Weisel, K.M. Cosert, M.W. Gealy J. Opt. Soc. B, 22, 1052 (2005).

"Effects of beam polarization on coherent anti-Stokes Raman scattering using noisy light," with P.P. Aung, K.M. Cosert, L.R. Weisel, T.F. Schulz, M.W. Gealy J. Raman Spectrosc. 36, 409 (2005).

"Analysis of Raman-enhanced, non-degenerate four-wave mixing using factorized time correlator diagrams," with E.C. Booth, B.G. Berger, Z.C. Johnson, T.M. Ta, L.R. Weisel J. Opt. Soc. B. 23, 885 (2006).

"Effects of Hydrogen Bonding on the Ring Stretching Modes of Pyridine," with E.R. Berg, S.A. Freeman, D.D. Green, J. Phys. Chem. A, 110, 13434 (2006).

"Polarization Coherent Anti-Stokes Raman Scattering Using Noisy Light," with L.R. Weisel, T.M. Ta, E. C. Booth, J. Raman Spectrosc., 38, 11 (2007).

"Methanol Adsorption in Carbon Nanotubes," with U. Burghaus, D. Bye, K. Cosert, J. Goering, A. Guerard, E. Kadossov, E. Lee, Y. Nadoyama, N. Richter, E. Schaefer, J. Smith, B. Wymore, Chem. Phys. Lett., 442, 344 (2007).

"Ion-Pair Interaction in Pyridinium Carboxylate Solutions," with E.R. Berg, D.D. Green, D.C. Moliva A, B.T. Bjerke and M.W. Gealy, J. Phys. Chem. A,112, 833 (2008).

"Effects of Hydrogen Bonding on the Ring Breathing Mode of Pyridine in Pyridine/chloroform and Pyridine/bromoform Systems," with H. Fan, C.D. Moliva A., J.K. Eliason, J.L. Olson, D.D. Green, M.W. Gealy, Chem. Phys. Lett., 479, 43 (2009).

"Halogen Bonding in Iodo-perfluoroalkane/Pyridine Mixtures," with H. Fan, J.K. Eliason, C.D. Moliva A., J. L. Olson, S.M. Flancher, M.W. Gealy, J. Chem. Phys. A., 113, 14052 (2009).

"Establishment of a Neurochemistry Track under the New ACS Guidelines" with J. Mach, ACS Chemical Neuroscience, 1, 259 (2010).

"Strategies for Fostering Synergy between Neuroscience Programs and Chemistry Departments" with J. Mach, JUNE, 10 (2010).

"Two-Dimensional Electronic Spectroscopy Using Incoherent Light: Theoretical Analysis" with D.B. Turner, D.J. Howey, R.A. Hendrickson, M.W. Gealy, E.J. Sutor, J. Chem. Phys. A. 117, 5926 (2013) (invited contribution to the John C. Wright special issue).

"Coherent multidimensional optical spectra measured using incoherent light," with D.B. Turner, P.C. Arpin, S.D. McClure, and G.D. Scholes, Nature Communications 4, 2298 (2013).

"Lineshape analysis of coherent multidimensional optical spectroscopy using incoherent light" with D. B. Turner, J. Chem. Phys. 142, 212420 (2015). (invited paper).

"Properties of the Katugampola fractional derivative with potential application in quantum mechanics" with D.R. Anderson, J. Math. Phys. 56, 063502 (2015).

"Newly defined conformable derivatives" with D.R. Anderson Adv. Dyn. Sys. and Apps. 10, 109, (2015).

"Coherent Two-Quantum Two-Dimensional Electronic Spectroscopy Using Incoherent Light" with D.B. Turner J. Phys. Chem. A 121, 9211 (2017).

"Raman study of the effects of solvent Lewis basicity on halogen bonding for short-chain primary and secondary iodo-perfluoroalkanes" with L.K. Mork, V. Tat, B.G. Erickson, and M.W. Gealy, J. Mol. Liq. 271, 647 (2018).

"On the nature of the conformable derivative and its application to physics" with D.R Anderson and E. Camrud J. Fractional Calc. and Appl. 10(2), 92, (2019).

"Application of group ring algebra to localized and delocalized quantum states in periodic potentials" with D.P. Biebighauser, J. Math. Chem. 57, 726, (2019).

"Two-dimensional electronic spectroscopy reveals the spectral dynamics of Föster resonance energy transfer" with B.K. Petkov, T.A. Gellen, C.A. Farfan, W.P. Carbery, B.E. Hetzler, D. Trauner, X. Li, W.J. Glover and D.B. Turner Chem 5, 2111 (2019).

"Cornu spirals and the triangular lacunary trigonometric system" with T. Vogt Fractal and Fractional 3, 40, (2019).

"Exploration of filled-in Julia sets arising from centered polygonal lacunary functions" with L.K. Mork, T. Vogt, K. Sullivan and D. Rutherford Fractal and Fractional 3, 42, (2019).

"Centered Polygonal Lacunary Sequences'' with K. Sullivan and D. Rutherford Mathematics 7, 943 (2019).

"Centered Polygonal Lacunary Graphs: A Graph Theoretic Approach to p-Sequences of Centered Polygonal Lacunary Functions'' with K. Sullivan and D. Rutherford Mathematics 7, 1021 (2019).

"Taming the Natural Boundary of Centered Polygonal Lacunary Functions—Restriction to the Symmetry Angle Space" with L.K. Mork and K. Sullivan Mathematics 8, 568 (2020).

"Rotationally Symmetric Lacunary Functions and Products of Centered Polygonal Lacunary Functions" with L.K. Mork, T. Vogt and K. Sullivan Fractal and Fractional 4, 24, (2020).

"Lacunary Möbius Fractals on the Unit Disk" with L.K. Mork and K. Sullivan Symmetry 13, 91 (2021).

"A group theoretical approach to the partitioning of integers: Application to triangular numbers, squares, and centered polygonal numbers" with L.K. Mork, K. Sullivan, and T. Vogt. The Australasian Journal of Combinatorics 80, 305, (2021).

"Visualization of Mandelbrot and Julia Sets of Möbius Transformations'' with L.K. Mork. Fractal and Fractional 5, 73, (2021).

"Structure of Triangular Numbers Modulo m" AppliedMath, 2, 326-358 (2022).

"Photothermal Imaging of Transient and Steady State Convection Dynamics in Primary Alkanes" with J. Dominguez Lopez and M.W. Gealy, Liquids 3, 371-384, (2023).