Publications John Lekner
Emeritus Professor
School of Chemical and Physical Sciences
Book publications
Electrostatics of Conducting Cylinders and Spheres, Lekner, J. AIP Publishing (2021)
Theory of Electromagnetic Beams, Lekner, J. Springer Publishers (2020)
Theory of Electromagnetic Pulses, Lekner, J. Morgan & Claypool Publishers (2018)
Theory of Reflection, Lekner, J. Springer Publications (2016)
Journal publications
169. Linearly polarized electromagnetic pulses, Physica Scripta 99, 055530 (2024)
168. Polarization of electromagnetic pulses, Physics Scripta 99, 025522 (2024)
167. Family of oscillatory electromagnetic pulses, Phys. Rev. A 108, 063502
166. Appearance of mollusk shells related to reflection by absorbing periodically stratified media, J. Opt. Soc. Am. A 40, 2108-2112 (2023)
165. Reflection from uniaxial crystals: symmetries, and formulae for near-normal incidence, J. Opt. Soc. Am. A 40, 722-728 (2023)
164. Laminar flow in epicycloidal corrugated pipes, ZAMM e202100352 (2022)
163. The spinning electron, Substantia 6, 7-13 (2022)
162. Electrostatics of two charged cylinders, J. Electrostatics 118, 103721 (7pp) (2022)
161. Charged conducting cylinders in contact, J. Electrostatics 118, 103717 (4pp) (2022)
160. Polarizabilities of intersecting conducting cylinders, Journal of Electrostatics 111 (2021) 103566
159. Laminar flow through corrugated pipes: comparison of exact and approximate solutions, Eur. J. Phys. 41, 065003 (13pp) (2020)
158. Four solutions of a two-cylinder electrostatic problem, and identities resulting from their equivalence, Q. J. Mech. Appl. Math. 73, 251-260 (2020)
157. Focal extent of scalar beams, J. Opt. 22, 045607 (9pp) (2020)
155. Comparison of electromagnetic beams, Optics Communications 458, 124844 (8pp) (2019)
153. Chirality of self-dual electromagnetic beams, J. Opt. 21, 035402 (7pp) (2019)
152. The birth of radiation, Eur. J. Phys. 40, 025201 (8pp) (2019)
151. Chiral content of electromagnetic pulses, J. Optics 20, 105605 (13pp) (2018).
150. Electromagnetic pulses, localized and causal, Proc. Roy. Soc. A 474, 20170655 (17pp) (2018).
149. Nonexistence of exact solutions agreeing with the Gaussian beam on the beam axis or in the focal plane, Optics Communications 407, 22-27 (2018) [with P. Andrejic]
148. Energy, momentum and angular momentum of sound pulses, J. Acoust. Soc. Am. 142, 3428-3435 (2017)
147. Topology of phase and polarization singularities in focal regions, J. Optics 19, 105609 (8pp) (2017) [with P. Andrejic]
146. Tight focusing of light beams: a set of exact solutions, Proc. Roy. Soc. A 472, 20160538 (17pp) (2016)
145. Low-reflection region within the stop band of a finite or absorbing periodic multilayer, J. Opt. Soc. Amer. A 33, 1648-1653 (2016)
144. Regions of attraction between like-charged conducting spheres, Amer. J. Phys. 84, 474-477 (2016)
143. Electroporation in cancer therapy without insertion of electrodes, Phys. Med. Biol. 59, 6031-6042 (2014)
142. Closed form solution for a pair of touching cylindrical conductors in an external electric field, J. Electrostatics 72, 342-346 (2014)
141. Reflection by absorbing periodically stratified media, J. Opt. 16, 035104 (2014)
140. Forces and torque on a pair of uncharged conducting cylinders in an external electric field, J. Electrostatics 72, 44-46 (2014)
139. Forces and torque on a pair of uncharged spheres in an external electric field, J. Appl. Phys. 114, 224902 (2013)
138. Conducting cylinders in an external electric field: polarizability and field enhancement, J. Electrostatics 71, 1104-1110 (2013)
137. Polarizability of two parallel conducting circular cylinders, J. Electrostatics 71, 910-914 (2013)
136. Universal properties of electromagnetic beams, PIERS Proceedings, Taipei (2013), 464-469
135. Universal properties of electromagnetic pulses, PIERS Proceedings, Taipei (2013), 458-463
134. Identities arising from two-cylinder electrostatics, Int. J. of Math. Analysis 7 (2013) 1411-1417
133. Electrostatics of two charged conducting spheres, Proc. Roy. Soc. A 468 (2012) 2829-2848
132. Electrostatic calibration of sphere-sphere forces, Meas. Sci. Technol. 23 (2012) 085007 (4pp)
131. Construction of accelerating wavepackets, Applied Mathematics and Computation 218, 10990-10997 (2012) [with H. Nguyen]
130. Electrostatic force between two conducting spheres at constant potential difference, J. App. Phys. 111, 076102 (2012)
129. Level curves for the sum of the squares of the normals to an ellipse, J. Geometry 102, 115-122 (2011) [published online 13 March 2012]
128. Nurturing genius: the childhood and youth of Kelvin and Maxwell, NZ Science Review 69 (1) 7-13 (2012)
127. Near approach of two conducting spheres: enhancement of external electric field, J. Electrostatics 69, 559-563 (2011)
126. Polarizability of two conducting spheres, J. Electrostatics 69, 435-441 (2011)
125. Confluent Heun functions and separation of variables in spheroidal coordinates, J. Math. Phys. 52, 073517 (2011) [with R. Boyack]
124. Non-existence of separable spheroidal beams, J. Opt. 13, 085701 (2011) [with R. Boyack]
123. Axisymmetric scattering of scalar waves by spheroids. J. Acoust. Soc. Am. 129, 3465-3469 (2011) [with R. Boyack]
122. Capacitance coefficients of two spheres, J. Electrostatics 69, 11-14 (2011)
121. Constraints on spheroidal beam wavefunctions. Opt. Lett. 35, 3652-3654 (2010) [with R. Boyack]
120. Analytical expression for the electric field enhancement between two closely-spaced conducting spheres. J Electrostatics 68, 299-304 (2010)
119. Axially symmetric charge distributions and the arithmetic-geometric mean. J. Electrostatics 67, 880-885 (2009)
118. Quantum bouncer on a spring. Eur. J. Phys. 30, L67-L73 (2009) [with H. Nguyen].
117. Flow with slip between coaxial cylinders and in an equilateral triangular pipe. The Open Appl. Phys. J. 2, 27-31 (2009).
116. Airy wavepacket solutions of the Schroedinger equation. Eur. J. Phys. 30, L43-L46 (2009).
115. Electrostatics of a family of conducting toroids. Eur. J. Phys. 30, 477-486 (2009).
114. Rotating wavepackets. Eur. J. Phys. 29, 1121-1125 (2008).
113. Reflection and non-reflection of particle wavepackets. Eur. J. Phys. 29, 671-679 (2008) [with T Cox].
112. Reflectionless eigenstates of the sech2 potential. Am. J. Phys. 75, 1151-1157 (2007).
111. Young Einstein and the beginnings of quantum mechanics. New Zealand Science Review 64, 11-19 (2007).
110. Viscous flow through pipes of various cross-sections. Eur. J. Phys. 28, 521-527 (2007).
109. Acoustic beam invariants. Phys. Rev. E 75, 036610, 1-6 (2007).
108. Acoustic beams with angular momentum. J. Acoust. Soc. Am. 120, 3475-3478 (2006).
107. Angular momentum of sound pulses. J. Phys. Condens. Matter 18, 6149-6158 (2006).
106. Localized oscillatory acoustic pulses. J. Phys. Condens. Matter 18, 3031-3036 (2006).
105. Energy and momentum of sound pulses. Physica A 363, 217-225 (2006).
104. Comparison of hyperbolic and hyperboloid conductors. Eur. J. Phys. 27, 87-94 (2006).
103. Forces on scatterers in particle beams. J. Phys. B: At. Mol. Phys. 38, 3849-3856 (2005).
102. Pattern formation in evanescent wave optical traps. Proc. SPIE 5930, 352-361 (2005) [with C D Mellor and C D Bain] (conference paper).
101. Force on a scatterer in counter-propagating coherent beams. J. Opt. A: Pure Appl. Opt. 7, 238-248 (2005).
100. Helical light pulses. J. Opt. A: Pure Appl. Opt. 6, L29-L32 (2004).
99. Electrostatics of hyperbolic conductors. Eur. J. Phys. 25, 737-744 (2004).
98. Invariants of three types of generalized Bessel beams. J. Opt. A: Pure Appl. Opt. 6, 837-843 (2004).
97. Localized electromagnetic pulses with azimuthal dependence. J. Opt. A: Pure Appl. Opt. 6, 711-716 (2004).
96. Invariants of atom beams. J. Phys. B: At. Mol. Opt. Phys. 37, 1725-1736 (2004).
95. Angular momentum of electromagnetic pulses. J. Opt. A: Pure Appl. Opt. 6, S128 - S133 (2004).
94. Invariants of electromagnetic beams. J. Opt. A: Pure Appl. Opt. 6, 204-209 (2004).
93. Energy and momentum of electromagnetic pulses. J. Opt. A: Pure Appl. Opt. 6, 146-147 (2004).
92. Electromagnetic pulses which have a zero momentum frame. J. Opt. A: Pure Appl. Opt. 5, L15-L18 (2003).
91. Polarization of tightly focused laser beams. J. Opt. A: Pure Appl. Opt. 5, 6-14 (2003).
90. Phase and transport velocities in particle and electromagnetic beams. J. Opt. A: Pure Appl. Opt. 4, 491-499 (2002).
89. Reply to Comment on TM, TE and TEM beam modes: exact solutions and their problems. J. Opt. A: Pure Appl. Opt., 219-220 (2002).
88. TM, TE and "TEM" beam modes: exact solutions and their problems. J. Opt. A: Pure Appl. Opt. 3, 407-412 (2001).
87. Omnidirectional reflection by multilayer dielectric mirrors. J. Opt. A: Pure Appl. Opt. 2, 349-352 (2000).
86. Vortex lines in helium-4 clusters. Journal of Physics: Condensed Matter 12, 4327-4331 (2000).
85. Multiple principal angles for a homogeneous layer. J. Opt. A: Pure Appl. Opt. 2, 239-245 (2000).
84. Reflection by uniaxial crystals: polarizing angle and Brewster angle. J. Opt. Soc. Amer. A 16, 2763-2766 (1999).
83. Energetics of hydrogen ordering in ice. Physica B252, 149-159 (1998).
82. Coulomb forces and potentials in systems with an orthorhombic unit cell. Molecular Simulation 20, 357-368 (1998).
81. Electrostatics of proton arrangements in ice Ic. Physica B240, 263-272 (1997).
80. Reflection ellipsometry of uniaxial crystals. J. Opt. Soc. Amer. A14, 1359-1362 (1997).
79. Inversion of the s and p reflectances of absorbing media. J. Opt. Soc. Amer. A14, 1355-1358 (1997).
78. Polarization patterns in refracting structures. J. Opt. Soc. Amer. A14, 676-681 (1997) [with B.K.Pierscionek].
77. Properties of a chiral slab waveguide. Pure Appl. Opt. 6, 373-384 (1997).
76. Analysis of Lloyd's mirror fringes for graded index reflectors. J. Opt. Soc. Am. A13, 1809-1815 (1996).
75. Optical properties of isotropic chiral media. Pure Appl. Opt. 5, 417-443 (1996).
74. Neutron reflection interferometry: extraction of the phase in total reflection from stratified media. Physica B 215, 329-336 (1995).
73. Isogyre formation by isotropic refracting bodies. Ophthalmic and Physiological Optics 15, 69-72 (1995).
72. Light in periodically stratified media. J. Opt. Soc. Amer. A11, 2892-2899 (1994).
71. Reflection of neutrons by periodic stratifications. Physica B202, 16-22 (1994).
70. Determination of complex refractive index and thickness of a homogeneous layer by combined reflection and transmission ellipsometry. Applied Optics 11, 2156-2158 (1994).
69. Optical properties of a uniaxial layer. Pure Appl. Opt. 3, 821-837 (1994).
68. Inversion of transmission ellipsometric data for transparent films. Applied Optics 33, 5108-5110 (1994).
67. Normal incidence transmission ellipsometry of anisotropic layers. Pure Appl. Opt. 3, 307-321 (1994).
66. Inversion of reflection ellipsometric data. Applied Optics 33, 5159-5165 (1994).
65. Brewster angles in reflection by uniaxial crystals. J. Opt. Soc. Amer. A10, 2059-2064 (1993).
64. Ellipsometry of anisotropic media. J. Opt. Soc. Amer. A10, 1579-1581 (1993).
63. Bounds and zeros in reflection and refraction by uniaxial crystals. J. Phys. Condens. Matter 4, 9459-9468 (1992).
62. Optical properties of an isotropic layer on a uniaxial crystal substrate. J. Phys. Condens. Matter 4, 6569-6586 (1992).
61. Normal incidence reflection and transmission by uniaxial crystals and crystal plates. J. Phys. Condens. Matter 4, 1387-1398 (1992).
60. Summation of Coulomb fields in computer-simulated systems. Physica A 176, 485-498 (1991).
59. Reflection and refraction by uniaxial crystals. J. Phys. Condens. Matter 3, 6121-6133 (1991).
58. Reflection theory and the analysis of neutron reflection data. Physica B 173, 99-111 (1991).
57. Reflection and transmission of compressional waves by a stratification with discontinuities in density and/or sound speed. J. Acoust. Soc. Am. 88, 2876-2879 (1990).
56. Analytic inversion of ellipsometric data for an unsupported non-absorbing uniform layer. J. Opt. Soc. Am. A7, 1875-1877 (1990).
55. Reflection of waves by a profile with discontinuities. J. Phys. A 23, 2897-2904 (1990).
54. Non-reflecting stratifications. Can. J. Phys. 68, 738-741 (1990).
53. Reflection and transmission of compressional waves: some exact results. J. Acoust. Soc. Am. 87, 2325-2331 (1990).
52. Matrix methods in reflection and transmission of compressional waves by stratified media. J. Acoust. Soc. Am. 87, 2319-2324 (1990).
51. The phase relation between reflected and transmitted waves, and some consequences. Am. J. Phys. 58, 317-320 (1990).
50. An upper bound on acoustic reflectivity, and the Rayleigh approximation. J. Acoust. Soc. Am. 86, 2359-2362 (1989).
49. Summation of dipolar fields in simulated liquid-vapour interfaces. Physica A157, 826-838 (1989).
48. Ellipsometry of surface films on a uniform layer. J. Opt. Soc. Amer. A5, 1044-1047 (1988).
47. Ellipsometry of a thin film between similar media. J. Opt. Soc. Amer. A5, 1041-1043 (1988).
46. Why some things are darker when wet. Applied Optics 27, 1278 (1988) [with M.C. Dorf].
45. Reflection and transmission ellipsometry of a uniform layer. J. Opt. Soc. Amer. A4, 2096 (1987) [with M.C. Dorf].
44. Matrix methods for the calculation of reflection amplitudes. J. Opt. Soc. Amer. A4, 2092 (1987) [with M.C. Dorf].
43. Variational theory of the reflection of light by interfaces. J. Opt. Soc. Amer. A3, 16 (1986).
42. Reflection of light by a non-uniform film between like media. J. Opt. Soc. Amer. A3, 9 (1986).
41. Parseval's integral and the Jacobi expansions in series of Bessel functions. J. Aust. Math. Soc. B27, 370 (1986).
40. Variational theory of reflection. Aust. J. Phys. 38, 113 (1985).
39. Reflection at oblique incidence, and the existence of a Brewster angle. J. Opt. Soc. Amer. A2, 186 (1985).
38. Invariant formulation of the reflection of long waves by interfaces. Physica 128A, 229 (1984).
37. Anisotropy of the dielectric function within a liquid-vapour interface. Mol. Phys. 49, 1385 (1983).
36. Exact reflection amplitudes for the Rayleigh profile. Physica 116A, 235 (1982).
35. Second-order ellipsometric coefficients. Physica 113A, 506 (1982).
34. Reflection of long waves by interfaces. Physica 112A, 544 (1982).
33. What goes up must come down; will air resistance make it return sooner, or later? Math. Magazine 55, 26 (1982).
32. Parametric solution of the van der Waals liquid-vapour coexistence curve. Am. J. Phys. 50, 161 (1982).
31. Liquid-vapour coexistence and correlations in the interface. Mol. Phys. 39, 1437 (1980) [with J.R. Henderson]
30. Variation of the local field through the liquid-vapour interface. Physica 101A, 99 (1980) [with P. Castle].
29. Local fields near the surface of a crystalline dielectric. Physica 101A, 89 (1980)[with P. Castle].
28. Extraction of the surface thickness of liquid argon near its triple point from the data of Shih and Uang. Phys. Rev. A 20, 621 (1979) [with J.R. Henderson].
27. Theoretical determination of the thickness of a liquid-vapour interface. Physica 94A, 545 (1978) [with J.R. Henderson].
26. The giant dipole resonance and pair correlations in nuclei. Nuclear Physics A307, 163 (1978) [with J.R. Henderson].
25. Surface oscillations and the surface thickness of classical and quantum droplets. Mol. Phys. 36, 781 (1978) [with J.R. Henderson].
24. The surface of liquid He4, based on the idea that f(rij) describes a droplet.J. Low Temp. Phys. 31, 763 (1978) [with J.R. Henderson].
23. Theory of surface excitations of liquid helium four. J. Phys. C 10, 4955 (1977) [with J.R. Henderson].
22. Surface tension and energy of a classical liquid-vapour interface. Mol. Phys. 34, 333 (1977) [with J.R. Henderson].
21. A collective rotational state of spherical nuclei. Aust. J. Phys. 29, 363 (1976) [with J.R. Henderson].
20. Rotation of a self-bound many-body system. Mol. Phys. 28, 431 (1974).
19. A set of inequalities between the ground state energies of many-body systems.Mol. Phys. 25, 387 (1973).
18. Electron mobility in simple fluids near the critical point. Phil. Mag. 27, 297 (1973) [with A.R. Bishop].
17. On the three-body problem. Proc. Camb. Phil. Soc. 73, 177 (1973).
16. Critical binding of diatomic molecules. Mol. Phys. 23, 619 (1972).
15. Ground state of a system of many Bose particles. Proc. Camb. Phil. Soc. 71, 575 (1972).
14. On the wavefunction of a quantum fluid in a force field. J. Low Temp. Phys. 6, 425 (1972).
13. Theory of vortex lines in liquid helium 4. Prog. Theor. Phys. 45, 42 (1971).
12. Surface structure of liquid helium 4. Prog. Theor. Phys. 45, 36 (1971).
11. Theory of surface states of He3 atoms in liquid He4. Phil. Mag. 22, 669 (1970).
10. Solution of Boltzmann's equation for inelastic scattering. Phil. Mag. 22, 663 (1970).
9. Positive ion mobility in He3CHe4 mixtures. J. Phys. C 3, L127 (1970) [with R.M. Bowley].
8. Mobility of an impurity in a Fermi liquid. Phys. Rev. Lett. 23, 111 (1969) [with B.D. Josephson].
7. Scattering of waves by an ensemble of fluctuating potentials. Phil. Mag. 18, 1281 (1968).
6. Mobility maxima in the rare-gas liquids. Phys. Lett. 27A, 341 (1968).
5. Theory of hot electrons in gases, liquids, and solids. Phys. Rev. 158, 305, (1967) [with M.H. Cohen].
4. Motion of electrons in liquid argon. Phys. Rev. 158, 130 (1967).
3. Drift velocity and energy of electrons in liquid argon. Phys. Rev. 156, 351 (1967) [with B. Halpern, S.A. Rice and R. Gomer].
2. Structure and resistivity of liquid metals. Phys. Rev. 145, 83 (1966) [with N.W. Ashcroft].
1. On the equation of state of the rigid-sphere fluid. J. Chem. Phys. 42, 3559 (1965) [with S.A. Rice].