Compact Cylindrical Green Function (CCGF)

Preface by Tohline

Cohl & Tohline (1999; hereafter CT99) present an expression for the Newtonian gravitational potential in terms of a Compact Cylindrical Green's Function expansion. Over a professional career that dates back to 1978, this has turned out to be one of my most oft-cited research publications and certainly has proven to be the publication with the most citations from research groups outside of the astrophysical community. Howard Cohl deserves full credit for this important discovery; I simply tagged along as his physics doctoral dissertation advisor and harshest skeptic.

Citations from Fields Outside of Astronomy

Journal of Computational Physics

[2016] Determination of normalized electric eigenfields in microwave cavities with sharp edges, by J. Helsing & A. Karlsson, J. Comp. Phys., Volume 304, pp. 465-486
[2014] An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces, by J. Helsing & A. Karlsson, J. Comp. Phys., Volume 272, pp. 686-703

Physical Review B

[2014] Spin and impurity effects on flux-periodic oscillations in core-shell nanowires, by T. O. Rosdahl, A. Manolescu, & V. Gudmundsson, Phys. Rev. B 90, 035421 — The key reference to CCGF appears in the paragraph associated with their equation (30); the authors state that numerical evaluation of the relevant set of Legendre functions was carried out using a code provided in J. Segura & A. Gil, Comput. Phys. Commun. 124, 104, (2000)

IEEE Transactions on Magnetics

[2013] Optimal Configuration for Electromagnets and Coils in Magnetic Actuators, by S. Afshar, M. B. Khamesee, & A. Khajepour, IEEE Transactions on Magnetics, Volume 49, Issue 4 — Relevant to "… the development of medical instrumentation …"
[2007] Computation of the three-dimensional magnetic field from solid permanent-magnet bipolar cylinders by employing toroidal harmonics, by J. P. Selvaggi, S. Salon, & O.-Mun Kwon, IEEE Transactions on Magnetics, Volume 43, Issue 10 — Relevant to "… the development of medical instrumentation …"

Journal of Applied Physics

[2013] Reflectance modulation by free-carrier exciton screening in semiconducting nanotubes, by F. Pinto, Journal of Applied Physics, Volume 114, 024310

Physical Review C

[2010] Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase approximation, by C. Losa, A. Pastore, T. Døssing, E. Vigezzi, & R. A. Broglia, Phys. Rev. C 81, 064307

Physics of Plasmas

[2008] General formulation of the resistive wall mode coupling equations, by V. D. Pustovitov, Physics of Plasmas, 15, 072501 — Relevant to "… toroidal plasmas …"

Plasmas Physics and Controlled Fusion

[2008] Decoupling in the problem of tokamak plasma response to asymmetric magnetic perturbations, by V. D. Pustovitov, Plasma Physics and Controlled Fusion, Volume 50, Number 10

New Journal of Physics

[2008] Calculation of electrostatic fields using quasi-Green's functions: application to the hybrid Penning trap, by J. Veruú, S. Kreim, K. Blaum, H. Kracke, W. Quint, S. Ulmer, & J. Walz, New Journal of Physics, Volume 10, October

Journal of Molecular Physics

[2005] Scaling in complex systems: analytical theory of charged pores, by A. Enriquez & L. Blum, J. Molecular Physics, Volume 103, pp. 3201-3208

Selected Citations from Astrophysicists

(2015) Applying Schwarzschild's orbit superposition method to barred or non-barred disc galaxies, by E. Vasiliev & E. Athanassoula, MNRAS, Volume 450, Issue 3
(2005) Accurate numerical potential and field in razor-thin, axisymmetric disks, by J.-M. Ouré, ApJ, Volume 624, Number 1
(2004) Evolution of self-gravitating magnetized disks. I. Axisymmetric simulations, by S. Forming, S. A. Balbus, & J.-P. De Villers, ApJ, Volume 616, Number 1

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