Difference between revisions of "User:Tohline/Appendix/Ramblings/CCGF"

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==Preface by Tohline==
==Preface by Tohline==
[http://adsabs.harvard.edu/abs/1999ApJ...527...86C 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.  [http://hcohl.sdf.org/bibliography.html Howard Cohl] deserves full credit for this important discovery; I simply tagged along as his ''physics'' doctoral dissertation advisor and harshest skeptic.
[http://adsabs.harvard.edu/abs/1999ApJ...527...86C Cohl & Tohline (1999)] 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 1976, 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 astrophysics community.  A [[User:Tohline/Appendix/Ramblings/CCGF#Sample_Citations_from_Fields_Outside_of_Astronomy|sample of citations from outside the field of astronomy]] is presented, below.  [http://hcohl.sdf.org/bibliography.html Howard Cohl] deserves full credit for the important discovery presented in this paper; I simply tagged along as his ''physics'' doctoral dissertation advisor and harshest skeptic.




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==Citations from Fields Outside of Astronomy==
==Sample Citations from Fields Outside of Astronomy==
 
===Journal of Quantitative Spectroscopy and Radiative Transfer===
<ul>
<li>
<font color="red">[2019]</font> ''Electrostatic T-matrix for a torus on bases of toroidal and spherical harmonics'', by M. Majic, [https://ui.adsabs.harvard.edu/abs/2019JQSRT.235..287M/abstract JQSRT, Volume 235, pp. 287-299]
</li>
</ul>


===Journal of Computational Physics===
===Journal of Computational Physics===
<ul>
<ul>
<li>
<font color="red">[2018]</font> ''An integral equation-based numerical solver for Taylor states in toroidal geometries'', by M. O'Neil &amp; A. J. Cerfon, [https://www.sciencedirect.com/science/article/pii/S0021999118300147 J. Comp. Phys., Volume 359, pp. 263-282]
</li>
<li>
<li>
<font color="red">[2016]</font> ''Determination of normalized electric eigenfields in microwave cavities with sharp edges'', by J. Helsing &amp; A. Karlsson, [https://doi.org/10.1016/j.jcp.2015.09.054 J. Comp. Phys., Volume 304, pp. 465-486]  
<font color="red">[2016]</font> ''Determination of normalized electric eigenfields in microwave cavities with sharp edges'', by J. Helsing &amp; A. Karlsson, [https://doi.org/10.1016/j.jcp.2015.09.054 J. Comp. Phys., Volume 304, pp. 465-486]  
</li>
<li>
<font color="red">[2014]</font> ''An explicit kernel-split panel-based Nystr&ouml;m scheme for integral equations on axially symmetric surfaces'', by J. Helsing &amp; A. Karlsson, [https://www.sciencedirect.com/science/article/pii/S0021999114003295 J. Comp. Phys., Volume 272, pp. 686-703]
</li>
</ul>
===Journal of Physics A: &nbsp; Mathematical and Theoretical===
<ul>
<li>
<font color="red">[2007]</font> ''A method for studying electron-density-based dynamics of many-electron systems in scaled cylindrical coordinates'', by A. Poddar &amp; B. M. Deb, [http://iopscience.iop.org/article/10.1088/1751-8113/40/22/015/meta Journal of Physics A:  Mathematical and Theoretical, Volume 40, pp. Number 22]
</li>
</li>
</ul>
</ul>
Line 100: Line 120:
<li>
<li>
<font color="red">[2014]</font> ''Spin and impurity effects on flux-periodic oscillations in core-shell nanowires'', by T. O. Rosdahl, A. Manolescu, &amp; V. Gudmundsson, [https://journals.aps.org/prb/abstract/10.1103/PhysRevB.90.035421 Phys. Rev. B 90, 035421] &#8212; 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 [https://www.sciencedirect.com/science/article/pii/S0010465599004282?via%3Dihub J. Segura &amp; A. Gil, Comput. Phys. Commun. 124, 104, (2000)]
<font color="red">[2014]</font> ''Spin and impurity effects on flux-periodic oscillations in core-shell nanowires'', by T. O. Rosdahl, A. Manolescu, &amp; V. Gudmundsson, [https://journals.aps.org/prb/abstract/10.1103/PhysRevB.90.035421 Phys. Rev. B 90, 035421] &#8212; 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 [https://www.sciencedirect.com/science/article/pii/S0010465599004282?via%3Dihub J. Segura &amp; A. Gil, Comput. Phys. Commun. 124, 104, (2000)]
</li>
<li>
<font color="red">[2011]</font> ''Transverse domain wall propagation in modulated cylindrical nanostructure and possible geometric control'', by S. Allende, &amp; R. Arias, [https://journals.aps.org/prb/abstract/10.1103/PhysRevB.83.174452 Phys. Rev. B 83, 174452]
</li>
<li>
<font color="red">[2005]</font> ''Ground-state densities and pair correlation functions in parabolic quantum dots'', by M. Gattobigio, P. Capuzzi, M. Polini, R. Asgari, &amp; M. P. Tosi, [https://journals.aps.org/prb/abstract/10.1103/PhysRevB.72.045306 Phys. Rev. B 72, 045306]
</li>
</ul>
===Physical Review C===
<ul>
<li>
<font color="red">[2010]</font> ''Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase approximation'', by C. Losa, A. Pastore, T. D&oslash;ssing, E. Vigezzi, &amp; R. A. Broglia, [https://journals.aps.org/prc/abstract/10.1103/PhysRevC.81.064307 Phys. Rev. C 81, 064307]
</li>
</ul>
===Physical Review D===
<ul>
<li>
<font color="red">[2019]</font> ''Closed form expressions for gravitational multipole moments of elementary solids'', by J. Stirling &amp; S. Schlamminger, [https://ui.adsabs.harvard.edu/abs/2019PhRvD.100l4053S/abstract Phys. Rev. D, Vol. 100, Issue 12, 124053]
</li>
</ul>
===Journal of the Mechanics and Physics of Solids===
<ul>
<li>
<font color="red">[2016]</font> ''Cyclic density functional theory: &nbsp; A route to the first principles simulation of bending in nanostructures'', by A. S. Banerjee &amp; P. Suryanarayana, [https://www.sciencedirect.com/science/article/pii/S0022509616303684 Journal of the Mechanics and Physics of Solids 96, pp. 605-631]
</li>
</ul>
===Journal of Applied Physics===
<ul>
<li>
<font color="red">[2013]</font> ''Reflectance modulation by free-carrier exciton screening in semiconducting nanotubes'', by F. Pinto, [https://doi.org/10.1063/1.4812495 Journal of Applied Physics, Volume 114, 024310]
</li>
<li>
<font color="red">[2010]</font> ''Magnetoexcitons in electron-hole bilayer nanotubes made of rolled-up type-II band aligned quantum wells'', by M. Bagheri, [http://aip.scitation.org/doi/abs/10.1063/1.3428436 Journal of Applied Physics, Volume 107, 114305]
</li>
</ul>
===IEEE Transactions on Microwave Theory and Techniques===
<ul>
<li>
<font color="red">[2015]</font> ''Determination of Normalized Magnetic Eigenfields in Microwave Cavities'', by J. Helsing &amp; A. Karlsson, [http://ieeexplore.ieee.org/abstract/document/7061541/ IEEE Transactions on Microwave Theory and Techniques, Volume 63, Issue 5] &#8212; Relevant to "&hellip; the development of medical instrumentation &hellip;"
</li>
</li>
</ul>
</ul>
Line 105: Line 169:
===IEEE Transactions on Magnetics===
===IEEE Transactions on Magnetics===
<ul>
<ul>
<li>
<font color="red">[2015]</font> ''Field distribution around surface cracks in metallic cylindrical structures excited by high-frequency current-carrying coils of arbitrary shape'', by A. Akbari-Khezri, S. H. H. Sadeghi, &amp; R. Moini, [http://ieeexplore.ieee.org/abstract/document/6880810/ IEEE Transactions on Magnetics, Volume 51, Issue 2]
</li>
<li>
<li>
<font color="red">[2013]</font> ''Optimal Configuration for Electromagnets and Coils in Magnetic Actuators'', by S. Afshar, M. B. Khamesee, &amp; A. Khajepour, [http://ieeexplore.ieee.org/abstract/document/6376203/ IEEE Transactions on Magnetics, Volume 49, Issue 4] &#8212; Relevant to "&hellip; the development of medical instrumentation &hellip;"
<font color="red">[2013]</font> ''Optimal Configuration for Electromagnets and Coils in Magnetic Actuators'', by S. Afshar, M. B. Khamesee, &amp; A. Khajepour, [http://ieeexplore.ieee.org/abstract/document/6376203/ IEEE Transactions on Magnetics, Volume 49, Issue 4] &#8212; Relevant to "&hellip; the development of medical instrumentation &hellip;"
</li>
<li>
<font color="red">[2007]</font> ''Computation of the three-dimensional magnetic field from solid permanent-magnet bipolar cylinders by employing toroidal harmonics'', by J. P. Selvaggi, S. Salon, &amp; O.-Mun Kwon, [http://ieeexplore.ieee.org/abstract/document/4303214/authors IEEE Transactions on Magnetics, Volume 43, Issue 10] &#8212; Relevant to "&hellip; the development of medical instrumentation &hellip;"
</li>
</li>
</ul>
</ul>


===Journal of Applied Physics===
===IEEE Transactions on Antennas and Propagation===
<ul>
<ul>
<li>
<li>
<font color="red">[2013]</font> ''Reflectance modulation by free-carrier exciton screening in semiconducting nanotubes'', by F. Pinto, [https://doi.org/10.1063/1.4812495 Journal of Applied Physics, Volume 114, 024310]  
<sup>&dagger;</sup><font color="red">[2005]</font> ''New exact solution procedure for the near fields of the general thin circular loop antenna'', by J. T. Conway, [http://ieeexplore.ieee.org/abstract/document/1377629/ IEEE Transactions on Antennas and Propagation, Volume 53, Issue 1]  
</li>
</li>
</ul>
</ul>


===Physical Review C===
===New Journal of Physics===
<ul>
<ul>
<li>
<li>
<font color="red">[2010]</font> ''Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase approximation'', by C. Losa, A. Pastore, T. D&oslash;ssing, E. Vigezzi, &amp; R. A. Broglia, [https://journals.aps.org/prc/abstract/10.1103/PhysRevC.81.064307 Phys. Rev. C 81, 064307]  
<font color="red">[2008]</font> ''Calculation of electrostatic fields using quasi-Green's functions:  application to the hybrid Penning trap'', by J. Veru&uacute;, S. Kreim, K. Blaum, H. Kracke, W. Quint, S. Ulmer, &amp; J. Walz, [http://iopscience.iop.org/article/10.1088/1367-2630/10/10/103009/meta New Journal of Physics, Volume 10, October]  
</li>
</li>
</ul>
</ul>
Line 128: Line 198:
<li>
<li>
<font color="red">[2005]</font> ''Scaling in complex systems:  analytical theory of charged pores'', by A. Enriquez &amp; L. Blum, [http://www.tandfonline.com/doi/abs/10.1080/00268970500221941 J. Molecular Physics, Volume 103, pp. 3201-3208]  
<font color="red">[2005]</font> ''Scaling in complex systems:  analytical theory of charged pores'', by A. Enriquez &amp; L. Blum, [http://www.tandfonline.com/doi/abs/10.1080/00268970500221941 J. Molecular Physics, Volume 103, pp. 3201-3208]  
</li>
</ul>
===Plasma Physics &hellip;===
====Physics of Plasmas====
<ul>
<li>
<font color="red">[2019]</font> ''Expressions for perturbed vacuum potential energy for 3D linear MHD stability'', by T. Weyens, [https://ui.adsabs.harvard.edu/abs/2019PhPl...26d2507W/abstract Physics of Plasmas, 26, Issue 4, 042507]
</li>
<li>
<font color="red">[2018]</font> ''Reaction of the toroidal resistive wall on the magnetic field variations in tokamak-like systems'', by V. D. Pustovitov, [https://ui.adsabs.harvard.edu/abs/2018PhPl...25f2510P/abstract Physics of Plasmas, 25, 062510]
</li>
<li>
<font color="red">[2008]</font> ''General formulation of the resistive wall mode coupling equations'', by V. D. Pustovitov, [http://aip.scitation.org/doi/abs/10.1063/1.2943711 Physics of Plasmas, 15, 072501] &#8212; Relevant to "&hellip; toroidal plasmas &hellip;"
</li>
</ul>
====Plasma Physics and Controlled Fusion====
<ul>
<li>
<font color="red">[2008]</font> ''Decoupling in the problem of tokamak plasma response to asymmetric magnetic perturbations'', by V. D. Pustovitov, [http://iopscience.iop.org/article/10.1088/0741-3335/50/10/105001/meta Plasma Physics and Controlled Fusion, Volume 50, Number 10]
</li>
</ul>
====Plasma Physics Reports====
<ul>
<li>
<font color="red">[2019]</font> ''Extension of Shafranov's Equilibrium Theory to the Description of Current Quenches Affected by Resistive Wall Dissipation in Tokamaks'', by V. D. Pustovitov, [https://ui.adsabs.harvard.edu/abs/2019PlPhR..45.1114P/abstract Plasma Physics Reports, Volume 45, Issue 12, p. 1114 - 1127]
</li>
</li>
</ul>
</ul>
Line 134: Line 232:
<ol>
<ol>
<li>
<li>
(2015) ''Applying Schwarzschild's orbit superposition method to barred or non-barred disc galaxies'', by E. Vasiliev &amp; E. Athanassoula, [https://academic.oup.com/mnras/article-abstract/450/3/2842/1068852 MNRAS, Volume 450, Issue 3]
(2019) ''A Fast Poisson Solver of Second-order Accuracy for Isolated Systems in Three-dimensional Cartesian and Cylindrical Coordinates'', by S. Moon, W.-T. Kim &amp; E. C. Ostriker, [https://ui.adsabs.harvard.edu/abs/2019ApJS..241...24M/abstract ApJS, Volume 241, Issue 2, 24]
</li>
<li>
(2019) ''AGAMA: action-based galaxy modelling architecture'', by E. Vasiliev, [https://ui.adsabs.harvard.edu/abs/2019MNRAS.482.1525V/abstract MNRAS, Volume 482, Issue 2, p. 1525 - 1544]
</li>
<li>
(2016) ''Equilibrium sequences and gravitational instability of rotating isothermal rings'', by W.-T. Kim &amp; S. Moon, [http://iopscience.iop.org/article/10.3847/0004-637X/829/1/45/meta ApJ, Volume 829, Number 1]
</li>
<li>
(2016) ''Zonal toroidal harmonic expansions of external gravitational fields for ring-like objects'', by T. Fukushima, [http://iopscience.iop.org/article/10.3847/0004-6256/152/2/35/meta The Astronomical Journal, Volume 152, Number 2]
</li>
<li>
<sup>&dagger;</sup>(2016) ''Vector potentials for the gravitational interaction of extended bodies and laminas with analytical solutions for two disks'', by J. T. Conway, [https://link.springer.com/article/10.1007/s10569-016-9679-y Celestial Mechanics and Dynamical Astronomy, Volume 125, Issue 2, pp. 161-194]
</li>
<li>
(2015) ''Applying Schwarzschild's orbit superposition method to barred or non-barred disc galaxies'', by E. Vasiliev &amp; E. Athanassoula, [https://academic.oup.com/mnras/article/367/3/1297/1042268 MNRAS, Volume 450, Issue 3]
</li>
<li>
(2012) ''A substitute for the singular Green kernel in the Newtonian potential of celestial bodies'', by J.-M. Our&eacute; &amp; A. Dieckmann, [https://www.aanda.org/articles/aa/pdf/forth/aa18443-11.pdf Astronomy &amp; Astrophysics, Volume 541, A130]
</li>
<li>
(2007) ''The Newtonian force experienced by a point mass near a finite cylindrical source'', by J. P. Selvaggi, Sheppard Salon &amp; M. V. K. Chari, [http://iopscience.iop.org/article/10.1088/0264-9381/25/1/015013/meta Classical and Quantum Gravity, Volume 25, Number 1]
</li>
<li>
(2006) ''Self-consistent response of a galactic disc to vertical perturbations'', by K. Saha &amp; C. J. Jog, [https://academic.oup.com/mnras/article-abstract/450/3/2842/1068852 MNRAS, Volume 367, Issue 3]
</li>
<li>
(2005) ''Accurate numerical potential and field in razor-thin, axisymmetric disks'', by J.-M. Our&eacute;, [http://iopscience.iop.org/article/10.1086/428769/meta ApJ, Volume 624, Number 1]
</li>
<li>
(2004) ''Evolution of self-gravitating magnetized disks.  I. Axisymmetric simulations'', by S. Forming, S. A. Balbus, &amp; J.-P. De Villers, [http://iopscience.iop.org/article/10.1086/424828/meta ApJ, Volume 616, Number 1]
</li>
</li>
</ol>
</ol>


<!--
=See Also=
=See Also=
* Tohline, J. E., (2008) Computing in Science &amp; Engineering, vol. 10, no. 4, pp. 84-85 &#8212; ''Where is My Digital Holographic Display?'' [ [http://www.phys.lsu.edu/~tohline/CiSE/CiSE2008.Vol10No4.pdf PDF] ]
* <sup>&dagger;</sup>[https://www.uia.no/kk/profil/johntc John Thomas Conway] has authored many articles &#8212; appearing in journals covering a wide range of disciplines &#8212; whose research topics overlap, if not incorporate, the [http://adsabs.harvard.edu/abs/1999ApJ...527...86C Cohl &amp; Tohline (1999)] work.
-->
 


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Latest revision as of 22:22, 14 March 2020

Compact Cylindrical Green Function (CCGF)

Preface by Tohline

Cohl & Tohline (1999) 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 1976, 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 astrophysics community. A sample of citations from outside the field of astronomy is presented, below. Howard Cohl deserves full credit for the important discovery presented in this paper; I simply tagged along as his physics doctoral dissertation advisor and harshest skeptic.


Whitworth's (1981) Isothermal Free-Energy Surface
|   Tiled Menu   |   Tables of Content   |  Banner Video   |  Tohline Home Page   |


Sample Citations from Fields Outside of Astronomy

Journal of Quantitative Spectroscopy and Radiative Transfer

Journal of Computational Physics

Journal of Physics A:   Mathematical and Theoretical

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)
  • [2011] Transverse domain wall propagation in modulated cylindrical nanostructure and possible geometric control, by S. Allende, & R. Arias, Phys. Rev. B 83, 174452
  • [2005] Ground-state densities and pair correlation functions in parabolic quantum dots, by M. Gattobigio, P. Capuzzi, M. Polini, R. Asgari, & M. P. Tosi, Phys. Rev. B 72, 045306

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

Physical Review D

Journal of the Mechanics and Physics of Solids

Journal of Applied Physics

IEEE Transactions on Microwave Theory and Techniques

IEEE Transactions on Magnetics

  • [2015] Field distribution around surface cracks in metallic cylindrical structures excited by high-frequency current-carrying coils of arbitrary shape, by A. Akbari-Khezri, S. H. H. Sadeghi, & R. Moini, IEEE Transactions on Magnetics, Volume 51, Issue 2
  • [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 …"

IEEE Transactions on Antennas and Propagation

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

Plasma Physics …

Physics of Plasmas

Plasma Physics and Controlled Fusion

Plasma Physics Reports

Selected Citations from Astrophysicists

  1. (2019) A Fast Poisson Solver of Second-order Accuracy for Isolated Systems in Three-dimensional Cartesian and Cylindrical Coordinates, by S. Moon, W.-T. Kim & E. C. Ostriker, ApJS, Volume 241, Issue 2, 24
  2. (2019) AGAMA: action-based galaxy modelling architecture, by E. Vasiliev, MNRAS, Volume 482, Issue 2, p. 1525 - 1544
  3. (2016) Equilibrium sequences and gravitational instability of rotating isothermal rings, by W.-T. Kim & S. Moon, ApJ, Volume 829, Number 1
  4. (2016) Zonal toroidal harmonic expansions of external gravitational fields for ring-like objects, by T. Fukushima, The Astronomical Journal, Volume 152, Number 2
  5. †(2016) Vector potentials for the gravitational interaction of extended bodies and laminas with analytical solutions for two disks, by J. T. Conway, Celestial Mechanics and Dynamical Astronomy, Volume 125, Issue 2, pp. 161-194
  6. (2015) Applying Schwarzschild's orbit superposition method to barred or non-barred disc galaxies, by E. Vasiliev & E. Athanassoula, MNRAS, Volume 450, Issue 3
  7. (2012) A substitute for the singular Green kernel in the Newtonian potential of celestial bodies, by J.-M. Ouré & A. Dieckmann, Astronomy & Astrophysics, Volume 541, A130
  8. (2007) The Newtonian force experienced by a point mass near a finite cylindrical source, by J. P. Selvaggi, Sheppard Salon & M. V. K. Chari, Classical and Quantum Gravity, Volume 25, Number 1
  9. (2006) Self-consistent response of a galactic disc to vertical perturbations, by K. Saha & C. J. Jog, MNRAS, Volume 367, Issue 3
  10. (2005) Accurate numerical potential and field in razor-thin, axisymmetric disks, by J.-M. Ouré, ApJ, Volume 624, Number 1
  11. (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

See Also

  • †John Thomas Conway has authored many articles — appearing in journals covering a wide range of disciplines — whose research topics overlap, if not incorporate, the Cohl & Tohline (1999) work.


Whitworth's (1981) Isothermal Free-Energy Surface

© 2014 - 2021 by Joel E. Tohline
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