Edit Profile (opens in new tab) McPhedran, Ross C. Co-Author Distance Author ID: mcphedran.ross-c Published as: McPhedran, R. C.; McPhedran, Ross C.; McPhedran, Ross; Mcphedran, R. C.; Mcphedran, Ross C. more...less Documents Indexed: 75 Publications since 1992, including 1 Book and 14 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 58 Co-Authors with 69 Joint Publications 782 Co-Co-Authors all top 5 Co-Authors 9 single-authored 25 Nicorovici, Nicolae-Alexandru P. 24 Botten, Lindsay C. 23 Movchan, Alexander B. 7 Smith, Michael J. A. 6 Meylan, Michael H. 5 Asatryan, A. A. 5 de Sterke, C. Martijn 5 Zucker, I. John 4 Stout, Brian Justin 3 Milton, Graeme Walter 2 Bennetts, Luke G. 2 Chen, Parry Y. 2 Guenneau, Sebastien R. L. 2 Haslinger, Stewart G. 2 Platts, S. B. 2 Poulton, Chris G. 2 Selsil, Ozgur 2 Zalipaev, V. V. 1 Antipov, Yuri A. 1 Asatryan, Ara 1 Bao, Keda 1 Borwein, Jonathan Michael 1 Brun, Michele 1 Busch, Kurt 1 Byrne, Michael A. 1 Campbell, Sam 1 Chung, Hyuck 1 Colom, Remi 1 Colquitt, Daniel J. 1 Dawes, D. H. 1 Diatta, André 1 Dossou, Kokou B. 1 Enoch, Stefan 1 Ferguson, Claire 1 Ferguson, Helaman 1 Fricke, F. R. 1 Glasser, M. Lawrence 1 Grubits, K. A. 1 Helsing, Johan 1 Henderson Moggach, C. 1 Jones, Ian S. 1 Kessissoglou, Nicole J. 1 Langtry, Tim 1 Meylan, Mike 1 Montiel, Fabien 1 Movchan, Natasha V. 1 Nicorovi, N. A. 1 Nixon, J. N. 1 Podolskiy, Viktor A. 1 Poulton, Christopher G. 1 Reuben, Andreas J. 1 Robinson, Peter A. 1 Sihvola, Ari H. 1 Smith, Geoffrey Howard 1 Steel, M. J. 1 Tuniz, A. 1 Wan, James Gu Feng 1 Wendoloski, J. C. 1 Williamson, Dominic J. 1 Yardley, J. G. all top 5 Serials 19 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 11 Waves in Random and Complex Media 8 Journal of Mathematical Physics 4 Quarterly Journal of Mechanics and Applied Mathematics 4 Wave Motion 2 Journal of Electromagnetic Waves and Applications 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 SIAM Journal on Applied Mathematics 1 Australian Journal of Physics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Sound and Vibration 1 Waves in Random Media 1 Mathematics and Computers in Simulation 1 Journal of Physics A: Mathematical and General 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Modern Optics 1 Encyclopedia of Mathematics and Its Applications 1 Solid Mechanics and Its Applications all top 5 Fields 26 Mechanics of deformable solids (74-XX) 25 Optics, electromagnetic theory (78-XX) 14 Number theory (11-XX) 12 Partial differential equations (35-XX) 10 Statistical mechanics, structure of matter (82-XX) 6 Special functions (33-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 53 Publications have been cited 349 times in 239 Documents Cited by ▼ Year ▼ Lattice sums then and now. With a foreword by Helaman Ferguson and Claire Ferguson. Zbl 1312.11001 Borwein, J. M.; Glasser, M. L.; McPhedran, R. C.; Wan, J. G.; Zucker, I. J. 39 2013 A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance. Zbl 1255.78002 Milton, Graeme W.; Nicorovici, Nicolae-Alexandru P.; McPhedran, Ross C.; Podolskiy, Viktor A. 38 2005 Bloch-Floquet bending waves in perforated thin plates. Zbl 1130.74019 Movchan, A. B.; Movchan, N. V.; McPhedran, R. C. 20 2007 Eigenvalue problems for doubly periodic elastic structures and phononic band gaps. Zbl 0984.74036 Poulton, C. G.; Movchan, A. B.; McPhedran, R. C.; Nicorovici, N. A.; Antipov, Y. A. 18 2000 Wave scattering by platonic grating stacks. Zbl 1186.74059 Movchan, N. V.; Mcphedran, R. C.; Movchan, A. B.; Poulton, C. G. 17 2009 The Rayleigh multipole method for linear elasticity. Zbl 0803.73012 McPhedran, R. C.; Movchan, A. B. 17 1994 Green’s tensors and lattice sums for elastostatics and elastodynamics. Zbl 0869.73017 Movchan, A. B.; Nicorovici, N. A.; McPhedran, R. C. 16 1997 Elastic waves and homogenization in oblique periodic structures. Zbl 1056.74031 Zalipaev, V. V.; Movchan, A. B.; Poulton, C. G.; McPhedran, R. C. 14 2002 Lattice sums for gratings and arrays. Zbl 0980.35007 McPhedran, R. C.; Nicorovici, N. A.; Botten, L. C.; Grubits, K. A. 12 2000 Source-neutral Green’s functions for periodic problems in electrostatics, and their equivalents in electromagnetism. Zbl 0946.78006 Poulton, C. G.; Botten, L. C.; McPhedran, R. C.; Movchan, A. B. 10 1999 Two-dimensional phononic crystals and scattering of elastic waves by an array of voids. Zbl 1039.74026 Platts, S. B.; Movchan, N. V.; McPhedran, R. C.; Movchan, A. B. 10 2002 Dynamic anisotropy and localization in elastic lattice systems. Zbl 1291.74119 Colquitt, D. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; McPhedran, R. C. 9 2012 Noncommuting limits in electromagnetic scattering: Asymptotic analysis for an array of highly conducting inclusions. Zbl 0979.35138 Poulton, C. G.; Botten, L. C.; McPhedran, R. C.; Nicorovici, N. A.; Movchan, A. B. 8 2001 Symmetry and resonant modes in platonic grating stacks. Zbl 1372.74056 Haslinger, S. G.; Movchan, A. B.; Movchan, N. V.; McPhedran, R. C. 7 2014 Active cloaking of inclusions for flexural waves in thin elastic plates. Zbl 1331.74085 O’Neill, J.; Selsil, Ö.; McPhedran, R. C.; Movchan, A. B.; Movchan, N. V. 7 2015 Symmetrization of the Hurwitz zeta function and Dirichlet \(L\) functions. Zbl 1151.11342 McPhedran, Ross C.; Botten, Lindsay C.; Nicorovici, Nicolae-Alexandru P.; Zucker, I. John 6 2007 Two-dimensional Green tensor and local density of states in finite-sized two-dimensional photonic crystals. Zbl 1063.81107 Asatryan, A. A.; Busch, K.; McPhedran, R. C.; Botten, L. C.; de Sterke, C. M.; Nicorovici, N. A. 6 2003 Transmission, trapping and filtering of waves in periodically constrained elastic plates. Zbl 1243.74072 Haslinger, Stewart G.; Movchan, Natasha V.; Movchan, Alexander B.; McPhedran, Ross C. 6 2012 Dirichlet \(L\)-series with real and complex characters and their application to solving double sums. Zbl 1243.11085 Zucker, I. J.; McPhedran, R. C. 5 2008 Sums of spherical waves for lattices, layers, and lines. Zbl 1034.78009 Enoch, S.; McPhedran, R. C.; Nicorovici, N. A.; Botten, L. C.; Nixon, J. N. 5 2001 Band gaps and elastic waves in disordered stacks: normal incidence. Zbl 1116.74370 Platts, S. B.; Movchan, N. V.; McPhedran, R. C.; Movchan, A. B. 5 2003 Distributive and analytic properties of lattice sums. Zbl 1071.82002 McPhedran, R. C.; Smith, G. H.; Nicorovici, N. A.; Botten, L. C. 5 2004 Low frequency corrections to the static effective dielectric constant of a two-dimensional composite material. Zbl 0870.35108 McPhedran, R. C.; Poulton, C. G.; Nicorovici, N. A.; Movchan, A. B. 4 1996 Double Dirac cones at \(\kappa = 0\) in pinned platonic crystals. Zbl 1375.82116 Smith, Michael J. A.; McPhedran, Ross C.; Meylan, Michael H. 4 2014 Analytic theory of defects in periodically structured elastic plates. Zbl 1364.74059 Poulton, C. G.; Movchan, A. B.; Movchan, N. V.; McPhedran, Ross C. 4 2012 Negative refraction and dispersion phenomena in platonic clusters. Zbl 1366.78017 Smith, Michael J. A.; McPhedran, Ross C.; Poulton, Chris G.; Meylan, Michael H. 4 2012 Convergence properties and flat bands in platonic crystal band structures using the multipole formulation. Zbl 1267.74060 Poulton, C. G.; McPhedran, R. C.; Movchan, N. V.; Movchan, A. B. 4 2010 Relative local density of states and cloaking in finite clusters of coated cylinders. Zbl 1274.78032 Nicorovici, N.-A. P.; McPhedran, R. C.; Botten, L. C. 4 2011 The transport properties of layers of elliptical cylinders. Zbl 1048.82006 Yardley, J. G.; Reuben, A. J.; McPhedran, R. C. 3 2001 Static Bloch sums for the square array. Zbl 1059.78018 McPhedran, R. C.; Nicorovici, N. A. 3 2002 Analytical results for a class of sums involving Bessel functions and square arrays. Zbl 0864.33002 Nicorovici, N. A.; Poulton, C. G.; McPhedran, R. C. 3 1996 Fast and slow interaction of elastic waves with platonic clusters. Zbl 1243.74073 Meylan, Michael H.; McPhedran, Ross C. 3 2011 Flexural wave filtering and platonic polarisers in thin elastic plates. Zbl 1291.74117 Smith, M. J. A.; Meylan, M. H.; McPhedran, R. C. 3 2013 Active cloaking of resonant coated inclusions for waves in membranes and Kirchhoff plates. Zbl 1446.74146 O’Neill, J.; Selsil, Ö.; McPhedran, R. C.; Movchan, A. B.; Movchan, N. V.; Henderson Moggach, C. 3 2016 Systematic investigation of two-dimensional static array sums. Zbl 1137.11331 McPhedran, R. C.; Botten, L. C.; Nicorovici, N. A.; Zucker, I. J. 2 2007 Asymptotic estimates for localized electromagnetic modes in doubly periodic structures with defects. Zbl 1134.78007 Movchan, A. B.; Movchan, N. V.; Guenneau, S.; McPhedran, R. C. 2 2007 The TEM mode and homogenization of doubly periodic structures. Zbl 0989.78540 McPhedran, R. C.; Nicorovici, N. A.; Botten, L. C. 2 1997 On a Bessel function integral. Zbl 0755.65021 McPhedran, R. C.; Dawes, D. H.; Scott, T. C. 2 1992 A short remark on the band structure of free-edge platonic crystals. Zbl 1378.74044 Smith, Michael J. A.; Meylan, Michael H.; Mcphedran, Ross C.; Poulton, Chris G. 2 2014 Density of states for platonic crystals and clusters. Zbl 1306.31002 Smith, M. J. A.; Meylan, M. H.; McPhedran, R. C. 2 2014 Frequency shift of sources embedded in finite two-dimensional photonic clusters. Zbl 1191.78010 Asatryan, A. A.; Botten, L. C.; Nicorovici, N. A.; McPhedran, R. C.; de Sterke, C. Martijn 2 2006 Focusing: coming to the point in metamaterials. Zbl 1195.78002 Guenneau, S.; Diatta, A.; McPhedran, R. C. 2 2010 Neumann series and lattice sums. Zbl 1110.11027 McPhedran, R. C.; Nicorovici, N. A.; Botten, L. C. 1 2005 Null trajectories for the symmetrized Hurwitz zeta function. Zbl 1193.11081 McPhedran, Ross C.; Botten, Lindsay C.; Nicorovici, Nicolae-Alexandru P. 1 2007 The Riemann hypothesis and the zero distribution of angular lattice sums. Zbl 1243.11089 McPhedran, Ross C.; Botten, Lindsay C.; Williamson, Dominic J.; Nicorovici, Nicolae-Alexandru P. 1 2011 Flexural waves in structured elastic plates: Mindlin versus bi-harmonic models. Zbl 1419.74145 Movchan, N. V.; McPhedran, R. C.; Movchan, A. B. 1 2011 On the Riemann property of angular lattice sums and the one-dimensional limit of two-dimensional lattice sums. Zbl 1186.11046 McPhedran, Ross C.; Zucker, I. J.; Botten, Lindsay C.; Nicorovici, Nicolae-Alexandru P. 1 2008 Green’s function, lattice sums and Rayleigh’s identity for a dynamic scattering problem. Zbl 0915.65126 McPhedran, R. C.; Nicorovici, N. A.; Botten, L. C.; Bao, Ke-Da 1 1998 Schlömilch series and grating sums. Zbl 1076.78502 McPhedran, R. C.; Nicorovi, N. A.; Botten, L. C. 1 2005 Ordered and disordered photonic band gap materials. Zbl 1111.82312 McPhedran, R. C.; Botten, L. C.; Asatryan, A. A.; Nicorovici, N. A.; de Sterke, C. Martijn; Robinson, P. A. 1 1999 Green’s functions and relative local density of states in two-dimensional lossy structured systems. Zbl 1267.78013 Nicorovici, N.-A. P.; McPhedran, R. C.; Botten, L. C.; Poulton, C. G.; Asatryan, A. A. 1 2010 Evaluation and regularization of phase-modulated Eisenstein series and application to double Schlömilch-type sums. Zbl 1430.40001 Chen, Parry Y.; Smith, Michael J. A.; McPhedran, Ross C. 1 2018 Egocentric physics: summing up Mie. Zbl 1469.78010 Stout, Brian; Colom, Remi; McPhedran, R. C. 1 2018 Evaluation and regularization of phase-modulated Eisenstein series and application to double Schlömilch-type sums. Zbl 1430.40001 Chen, Parry Y.; Smith, Michael J. A.; McPhedran, Ross C. 1 2018 Egocentric physics: summing up Mie. Zbl 1469.78010 Stout, Brian; Colom, Remi; McPhedran, R. C. 1 2018 Active cloaking of resonant coated inclusions for waves in membranes and Kirchhoff plates. Zbl 1446.74146 O’Neill, J.; Selsil, Ö.; McPhedran, R. C.; Movchan, A. B.; Movchan, N. V.; Henderson Moggach, C. 3 2016 Active cloaking of inclusions for flexural waves in thin elastic plates. Zbl 1331.74085 O’Neill, J.; Selsil, Ö.; McPhedran, R. C.; Movchan, A. B.; Movchan, N. V. 7 2015 Symmetry and resonant modes in platonic grating stacks. Zbl 1372.74056 Haslinger, S. G.; Movchan, A. B.; Movchan, N. V.; McPhedran, R. C. 7 2014 Double Dirac cones at \(\kappa = 0\) in pinned platonic crystals. Zbl 1375.82116 Smith, Michael J. A.; McPhedran, Ross C.; Meylan, Michael H. 4 2014 A short remark on the band structure of free-edge platonic crystals. Zbl 1378.74044 Smith, Michael J. A.; Meylan, Michael H.; Mcphedran, Ross C.; Poulton, Chris G. 2 2014 Density of states for platonic crystals and clusters. Zbl 1306.31002 Smith, M. J. A.; Meylan, M. H.; McPhedran, R. C. 2 2014 Lattice sums then and now. With a foreword by Helaman Ferguson and Claire Ferguson. Zbl 1312.11001 Borwein, J. M.; Glasser, M. L.; McPhedran, R. C.; Wan, J. G.; Zucker, I. J. 39 2013 Flexural wave filtering and platonic polarisers in thin elastic plates. Zbl 1291.74117 Smith, M. J. A.; Meylan, M. H.; McPhedran, R. C. 3 2013 Dynamic anisotropy and localization in elastic lattice systems. Zbl 1291.74119 Colquitt, D. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; McPhedran, R. C. 9 2012 Transmission, trapping and filtering of waves in periodically constrained elastic plates. Zbl 1243.74072 Haslinger, Stewart G.; Movchan, Natasha V.; Movchan, Alexander B.; McPhedran, Ross C. 6 2012 Analytic theory of defects in periodically structured elastic plates. Zbl 1364.74059 Poulton, C. G.; Movchan, A. B.; Movchan, N. V.; McPhedran, Ross C. 4 2012 Negative refraction and dispersion phenomena in platonic clusters. Zbl 1366.78017 Smith, Michael J. A.; McPhedran, Ross C.; Poulton, Chris G.; Meylan, Michael H. 4 2012 Relative local density of states and cloaking in finite clusters of coated cylinders. Zbl 1274.78032 Nicorovici, N.-A. P.; McPhedran, R. C.; Botten, L. C. 4 2011 Fast and slow interaction of elastic waves with platonic clusters. Zbl 1243.74073 Meylan, Michael H.; McPhedran, Ross C. 3 2011 The Riemann hypothesis and the zero distribution of angular lattice sums. Zbl 1243.11089 McPhedran, Ross C.; Botten, Lindsay C.; Williamson, Dominic J.; Nicorovici, Nicolae-Alexandru P. 1 2011 Flexural waves in structured elastic plates: Mindlin versus bi-harmonic models. Zbl 1419.74145 Movchan, N. V.; McPhedran, R. C.; Movchan, A. B. 1 2011 Convergence properties and flat bands in platonic crystal band structures using the multipole formulation. Zbl 1267.74060 Poulton, C. G.; McPhedran, R. C.; Movchan, N. V.; Movchan, A. B. 4 2010 Focusing: coming to the point in metamaterials. Zbl 1195.78002 Guenneau, S.; Diatta, A.; McPhedran, R. C. 2 2010 Green’s functions and relative local density of states in two-dimensional lossy structured systems. Zbl 1267.78013 Nicorovici, N.-A. P.; McPhedran, R. C.; Botten, L. C.; Poulton, C. G.; Asatryan, A. A. 1 2010 Wave scattering by platonic grating stacks. Zbl 1186.74059 Movchan, N. V.; Mcphedran, R. C.; Movchan, A. B.; Poulton, C. G. 17 2009 Dirichlet \(L\)-series with real and complex characters and their application to solving double sums. Zbl 1243.11085 Zucker, I. J.; McPhedran, R. C. 5 2008 On the Riemann property of angular lattice sums and the one-dimensional limit of two-dimensional lattice sums. Zbl 1186.11046 McPhedran, Ross C.; Zucker, I. J.; Botten, Lindsay C.; Nicorovici, Nicolae-Alexandru P. 1 2008 Bloch-Floquet bending waves in perforated thin plates. Zbl 1130.74019 Movchan, A. B.; Movchan, N. V.; McPhedran, R. C. 20 2007 Symmetrization of the Hurwitz zeta function and Dirichlet \(L\) functions. Zbl 1151.11342 McPhedran, Ross C.; Botten, Lindsay C.; Nicorovici, Nicolae-Alexandru P.; Zucker, I. John 6 2007 Systematic investigation of two-dimensional static array sums. Zbl 1137.11331 McPhedran, R. C.; Botten, L. C.; Nicorovici, N. A.; Zucker, I. J. 2 2007 Asymptotic estimates for localized electromagnetic modes in doubly periodic structures with defects. Zbl 1134.78007 Movchan, A. B.; Movchan, N. V.; Guenneau, S.; McPhedran, R. C. 2 2007 Null trajectories for the symmetrized Hurwitz zeta function. Zbl 1193.11081 McPhedran, Ross C.; Botten, Lindsay C.; Nicorovici, Nicolae-Alexandru P. 1 2007 Frequency shift of sources embedded in finite two-dimensional photonic clusters. Zbl 1191.78010 Asatryan, A. A.; Botten, L. C.; Nicorovici, N. A.; McPhedran, R. C.; de Sterke, C. Martijn 2 2006 A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance. Zbl 1255.78002 Milton, Graeme W.; Nicorovici, Nicolae-Alexandru P.; McPhedran, Ross C.; Podolskiy, Viktor A. 38 2005 Neumann series and lattice sums. Zbl 1110.11027 McPhedran, R. C.; Nicorovici, N. A.; Botten, L. C. 1 2005 Schlömilch series and grating sums. Zbl 1076.78502 McPhedran, R. C.; Nicorovi, N. A.; Botten, L. C. 1 2005 Distributive and analytic properties of lattice sums. Zbl 1071.82002 McPhedran, R. C.; Smith, G. H.; Nicorovici, N. A.; Botten, L. C. 5 2004 Two-dimensional Green tensor and local density of states in finite-sized two-dimensional photonic crystals. Zbl 1063.81107 Asatryan, A. A.; Busch, K.; McPhedran, R. C.; Botten, L. C.; de Sterke, C. M.; Nicorovici, N. A. 6 2003 Band gaps and elastic waves in disordered stacks: normal incidence. Zbl 1116.74370 Platts, S. B.; Movchan, N. V.; McPhedran, R. C.; Movchan, A. B. 5 2003 Elastic waves and homogenization in oblique periodic structures. Zbl 1056.74031 Zalipaev, V. V.; Movchan, A. B.; Poulton, C. G.; McPhedran, R. C. 14 2002 Two-dimensional phononic crystals and scattering of elastic waves by an array of voids. Zbl 1039.74026 Platts, S. B.; Movchan, N. V.; McPhedran, R. C.; Movchan, A. B. 10 2002 Static Bloch sums for the square array. Zbl 1059.78018 McPhedran, R. C.; Nicorovici, N. A. 3 2002 Noncommuting limits in electromagnetic scattering: Asymptotic analysis for an array of highly conducting inclusions. Zbl 0979.35138 Poulton, C. G.; Botten, L. C.; McPhedran, R. C.; Nicorovici, N. A.; Movchan, A. B. 8 2001 Sums of spherical waves for lattices, layers, and lines. Zbl 1034.78009 Enoch, S.; McPhedran, R. C.; Nicorovici, N. A.; Botten, L. C.; Nixon, J. N. 5 2001 The transport properties of layers of elliptical cylinders. Zbl 1048.82006 Yardley, J. G.; Reuben, A. J.; McPhedran, R. C. 3 2001 Eigenvalue problems for doubly periodic elastic structures and phononic band gaps. Zbl 0984.74036 Poulton, C. G.; Movchan, A. B.; McPhedran, R. C.; Nicorovici, N. A.; Antipov, Y. A. 18 2000 Lattice sums for gratings and arrays. Zbl 0980.35007 McPhedran, R. C.; Nicorovici, N. A.; Botten, L. C.; Grubits, K. A. 12 2000 Source-neutral Green’s functions for periodic problems in electrostatics, and their equivalents in electromagnetism. Zbl 0946.78006 Poulton, C. G.; Botten, L. C.; McPhedran, R. C.; Movchan, A. B. 10 1999 Ordered and disordered photonic band gap materials. Zbl 1111.82312 McPhedran, R. C.; Botten, L. C.; Asatryan, A. A.; Nicorovici, N. A.; de Sterke, C. Martijn; Robinson, P. A. 1 1999 Green’s function, lattice sums and Rayleigh’s identity for a dynamic scattering problem. Zbl 0915.65126 McPhedran, R. C.; Nicorovici, N. A.; Botten, L. C.; Bao, Ke-Da 1 1998 Green’s tensors and lattice sums for elastostatics and elastodynamics. Zbl 0869.73017 Movchan, A. B.; Nicorovici, N. A.; McPhedran, R. C. 16 1997 The TEM mode and homogenization of doubly periodic structures. Zbl 0989.78540 McPhedran, R. C.; Nicorovici, N. A.; Botten, L. C. 2 1997 Low frequency corrections to the static effective dielectric constant of a two-dimensional composite material. Zbl 0870.35108 McPhedran, R. C.; Poulton, C. G.; Nicorovici, N. A.; Movchan, A. B. 4 1996 Analytical results for a class of sums involving Bessel functions and square arrays. Zbl 0864.33002 Nicorovici, N. A.; Poulton, C. G.; McPhedran, R. C. 3 1996 The Rayleigh multipole method for linear elasticity. Zbl 0803.73012 McPhedran, R. C.; Movchan, A. B. 17 1994 On a Bessel function integral. Zbl 0755.65021 McPhedran, R. C.; Dawes, D. H.; Scott, T. C. 2 1992 all cited Publications top 5 cited Publications all top 5 Cited by 322 Authors 25 McPhedran, Ross C. 21 Movchan, Alexander B. 13 Guenneau, Sebastien R. L. 13 Nguyen, Hoai-Minh 11 Nicorovici, Nicolae-Alexandru P. 10 Botten, Lindsay C. 10 Craster, Richard V. 8 Jones, Ian S. 7 Kang, Hyeonbae 7 Milton, Graeme Walter 6 Ammari, Habib 6 Greengard, Leslie F. 6 Kushch, Volodymyr I. 6 Mityushev, Vladimir V. 5 Andrianov, Igor Vasil’evich 5 Borwein, Jonathan Michael 5 Carta, Giorgio 5 Colquitt, Daniel J. 5 Danishevskiĭ, Vladislav Valentinovich 5 Lee, Hyundae 5 Parnell, William J. 4 Abrahams, I. David 4 Bailey, David Harold 4 Bétermin, Laurent 4 Li, Hongjie 4 Lim, Mikyoung 4 Musolino, Paolo 4 Sevostianov, Igor 4 Zucker, I. John 3 Antonakakis, T. 3 Ayzenberg-Stepanenko, Mark V. 3 Brun, Michele 3 Drygaś, Piotr 3 Haslinger, Stewart G. 3 Li, Peijun 3 Liu, Hongyu 3 Makwana, Mehul P. 3 Martinsson, Per-Gunnar 3 McIver, Philip 3 Meylan, Michael H. 3 Movchan, Natasha V. 3 Neves, Mario jun. 3 Nicolet, André 3 Rylko, Natalia 3 Smith, Michael J. A. 3 Varlamov, Vladimir V. 3 Wu, Bowei 3 Yao, Xiaohua 3 Zhao, Yue 3 Zolla, Frédéric 2 Adams, Samuel D. M. 2 Ando, Kazunori 2 Barnett, Alex H. 2 Beylkin, Gregory 2 Cassier, Maxence 2 Cherednichenko, Kirill D. 2 Chesnel, Lucas 2 Chung, Hyuck 2 Ciraolo, Giulio 2 Davis, Anthony M. J. 2 Ecevit, Fatih 2 Enoch, Stefan 2 Godin, Yuri A. 2 Guillera, Jesús 2 Helsing, Johan 2 Ilyin, Aleksei A. 2 Kessissoglou, Nicole J. 2 Kurcz, Christopher 2 Lanza de Cristoforis, Massimo 2 Laptev, Ari 2 Maling, B. 2 Meklachi, Taoufik 2 Mishnaevsky, Leon jun. 2 Montiel, Fabien 2 Monzón, Lucas 2 Movchan, Natalia V. 2 Onofrei, Daniel 2 Poulton, Chris G. 2 Remizov, Mikhail Yu. 2 Rogers, Mathew D. 2 Rogerson, Graham A. 2 Šamaj, Ladislav 2 Schnitzer, Ory 2 Thaler, Andrew E. 2 Thompson, Ian M. 2 Topol, Heiko 2 Travěnec, Igor 2 Tyni, Teemu 2 Vaĭnberg, Boris Rufimovich 2 Yıldırım, Cem Yalçın 2 Zelik, Sergey V. 1 Abdukadirov, Sagdulla A. 1 Adams, Brian 1 Aranas, C. 1 Asatryan, A. A. 1 Asatryan, Ara 1 Askham, Travis 1 Assier, Raphaël C. 1 Atabaki, Amir H. 1 Avila-Pozos, Orlando ...and 222 more Authors all top 5 Cited in 94 Serials 20 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 18 Wave Motion 15 Waves in Random and Complex Media 14 Journal of Mathematical Physics 9 Journal of the Mechanics and Physics of Solids 9 SIAM Journal on Applied Mathematics 7 Journal of Computational Physics 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 International Journal of Engineering Science 3 Acta Mechanica 3 Communications in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics and Computation 3 SIAM Journal on Mathematical Analysis 3 Continuum Mechanics and Thermodynamics 3 Mathematics and Mechanics of Solids 3 The Ramanujan Journal 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 European Journal of Mechanics. A. Solids 3 Analysis and Mathematical Physics 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Analysis Mathematica 2 Archive for Rational Mechanics and Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Solids and Structures 2 Inverse Problems 2 Journal d’Analyse Mathématique 2 Journal of Engineering Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Computational and Applied Mathematics 2 Journal of Number Theory 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 European Journal of Applied Mathematics 2 Journal of Elasticity 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 New Journal of Physics 2 Journal of the Australian Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Complex Variables and Elliptic Equations 2 Journal of Physics A: Mathematical and Theoretical 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 International Journal of Heat and Mass Transfer 1 Journal of Applied Mathematics and Mechanics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 BIT 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 COMPEL 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Journal of Nonlinear Science 1 Applied and Computational Harmonic Analysis 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 Integral Transforms and Special Functions 1 Journal of Mathematical Chemistry 1 Doklady Mathematics 1 Annales Henri Poincaré 1 Journal of Modern Optics 1 Mathematical Modelling and Analysis 1 Multiscale Modeling & Simulation 1 Boundary Value Problems 1 Acta Mechanica Sinica 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 Operators and Matrices 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Bulletin of Mathematical Sciences 1 Advances in Nonlinear Analysis 1 Research in the Mathematical Sciences 1 Electronic Research Archive 1 Mechanics of Solids all top 5 Cited in 35 Fields 94 Mechanics of deformable solids (74-XX) 81 Partial differential equations (35-XX) 60 Optics, electromagnetic theory (78-XX) 28 Number theory (11-XX) 27 Numerical analysis (65-XX) 23 Statistical mechanics, structure of matter (82-XX) 22 Special functions (33-XX) 13 Fluid mechanics (76-XX) 10 Operator theory (47-XX) 8 Potential theory (31-XX) 7 Functions of a complex variable (30-XX) 6 Quantum theory (81-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 4 Sequences, series, summability (40-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 2 Algebraic geometry (14-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year