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Dr Graham S McDonald

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Selected research publications

 

1. GS McDonald and WJ Firth, “All-optical Switching in a Nonlinear Resonator”, J Mod Opt  37 (1990) 613.
Abstract | Download paper

2. GS McDonald and WJ Firth, “Spatial Solitary Wave Optical Memory”, J Opt Soc Am B 7 (1990) 1328.
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3. GS McDonald, KD Stephen and WJ Firth,   “Spontaneous Spatial Structures in Simple Systems and Defocusing Media”,    Proceedings on Nonlinear Dynamics in Optical Systems 7,  OSA, Afton,Oklahoma, June 4-8 (1990).

4. GS McDonald, KS Syed and WJ Firth, “Optical Vortices in Beam Propagation Through a Self-Defocussing Medium”,  Opt Commun 94 (1992) 469.
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5. WJ Firth, AJ Scroggie, GS McDonald and LA Lugiato, “Hexagon Patterns in Optical Bistability”, Phys Rev A 46 (1992) 3609.
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6. GS McDonald and WJ Firth, “Spatial Grid Symmetries and Reduced Models in the Simulation of Beam Counterpropagation in a Nonlinear Medium”, J Mod Opt 40 (1993) 23.
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7. GS McDonald, KS Syed and WJ Firth, “Dark Spatial Soliton Break-up in the Transverse Plane”, Opt Commun 95 (1993) 281.
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8. PE Langridge, GS McDonald, WJ Firth and S Wabnitz, “Self-sustained Modelocking using Induced Nonlinear Birefringence in Optical Fibres”, Opt Commun 97 (1993) 178.
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9. GS McDonald and WJ Firth, ”Switching Dynamics of Spatial Solitary Wave Pixels”, J Opt Soc Am B 10 (1993) 1081.
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10. AJ Scroggie, WJ Firth, GS McDonald, M Tlidi, R Lefever and LA Lugiato, “Pattern Formation in a Passive Kerr Cavity'', Chaos, Solitons and Fractals 4 (1994) 1323-1354.
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11. GS McDonald, GHC New, LL Losev, AP Lutsenko and MJ Shaw, “Ultrabroad Bandwidth Multi-frequency Raman Generation”, Opt Lett 19 (1994) 1400.
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12. GS McDonald, GHC New, LL Losev, AP Lutsenko and MJ Shaw, “On the Generation of Ultrabroad Bandwidth Light for Inertial Confinement Fusion”, Institute of Physics Conference Series 140 (1995) 85.
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13. GS McDonald, “Ultrabroad Bandwidth Multifrequency Raman Soliton Pulse Trains”, Opt Lett 20 (1995) 822.
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14. S Chavez-Cerda, GS McDonald and GHC New, “Nondiffracting Beams: Travelling, Standing, Rotating and Spiral Waves”, Opt Commun 123 (1996) 225.
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15. P Chamorro-Posada, GS McDonald and GHC New, “Nonparaxial Solitons”, J Mod Opt 45 (1998) 1111.
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16. GS McDonald, GHC New, LL Losev and AP Lutsenko, “On the Generation of Ultrabroad Bandwidth Light in Air at Atmospheric Pressure”, J Phys B 30 (1997) 719.
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17. GS McDonald, Yuk-Ming Chan, GHC New, LL Losev and AP Lutsenko, “Competing Nonlinear Effects in Multifrequency Raman Generation”, J Mod Opt 45 (1998) 1099.
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18. P Chamorro-Posada, GS McDonald, GHC New and FJ Fraile-Pelaez, “Fast Algorithm for Studying the Evolution of Optical Solitons under Perturbations”, IEEE Trans Magnetics 35 (1999) 1558.
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19. GS McDonald, GHC New and JP Woerdman, “Excess Noise in Low Fresnel Number Unstable Resonators”, Opt Commun 164 (1999) 285.
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20. GP Karman, GS McDonald, JP Woerdman and GHC New, ”Excess-Noise Dependence on Intra-Cavity Aperture Shape”, Appl Opt 38 (1999) 6874. 
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21. GP Karman, GS McDonald, GHC New and JP Woerdman, “Fractal Modes in Unstable Resonators”, Nature 402  (November, 1999) 138.
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22. GS McDonald, GP Karman, GHC New and JP Woerdman, “The Kaleidoscope Laser”, J Opt Soc Am B 17 (2000) 524.
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23. P Chamorro-Posada, GS McDonald and GHC New, “Propagation Properties of Nonparaxial Spatial Solitons”, J Mod Opt 47 (2000) 1877.
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24. KS Syed, GS McDonald and GHC New, “Transverse Effects in Multifrequency Raman Generation”, J Opt Soc Am B 17 (2000) 1366.
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25. P Chamorro-Posada, GS McDonald and GHC New, “Nonparaxial Beam Propagation Methods”, Opt Commun 192 (2001) 1.
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26. GHC New, M Yates, JP Woerdman and GS McDonald, “Diffractive Origin of Fractal Resonator Modes”, Opt Commun 193 (2001) 261.
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27. P Chamorro-Posada, GS McDonald and GHC New, “Exact Soliton Solutions of the Nonlinear Helmholtz Equation”, J Opt Soc Am B 19 (2002) 1216.
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28. P Chamorro-Posada and GS McDonald, “Helmholtz Dark Solitons”, Opt Lett 28 (2003) 825.
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29. P Chamorro-Posada and GS McDonald, “Exact Analytical Helmholtz Bright And Dark Solitons”, Proc SPIE 5582 ,  Advanced Optoelectronics and Lasers (2004) 154-161.
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30. JG Huang and GS McDonald, “Spontaneous Optical Fractal Pattern Formation”, Phys Rev Lett 94, 174101, May (2005).
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31. GS McDonald, JG Huang, JM Christian, SC Benbow, P Chamorro-Posada and J Sanchez-Curto, "New Horizons in Non-Linear Optics: Helmholtz Solitons, Spatial Fractals & Attosecond Pulses (invited)", Proc of Photon06, Manchester, Sept (2006).

32. JG Huang, JM Christian and GS McDonald, "Fresnel Diffraction and Fractal Patterns from Polygonal Apertures", J Opt Soc Am A 23 (2006) 2768.
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33. JM Christian, GS McDonald and P Chamorro-Posada, "Helmholtz-Manakov Solitons", Phys Rev E 74 (2006) 066612.
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34. P Chamorro-Posada and GS McDonald, "Spatial Kerr Soliton Collisions at Arbitrary Angles", Phys Rev E 74 (2006) 036609.
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35. JM Christian, GS McDonald, P Chamorro-Posada, "Korteweg-de Vries Description of Helmholtz-Kerr Dark Solitons", J Phys A: Math & Gen 39 (2006) 15355.
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36. JM Christian, GS McDonald and P Chamorro-Posada, "Helmholtz Bright and Boundary Solitons", J Phys A: Math & Theor 40 (2007) 1545.
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37. J Sanchez-Curto, P Chamorro-Posada and GS McDonald, "Helmholtz Solitons at Nonlinear Interfaces", Opt Lett 32 (2007) 1126.
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38. JM Christian, GS McDonald and P Chamorro-Posada, Note on "Helmholtz Bright and Boundary Solitons", J Phys A: Math & Theor 40 (2007) 8601.
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39 . JM Christian, GS McDonald, P Chamorro-Posada and RJ Potton, "Helmholtz Solitons in Power-Law Optical Materials", Phys Rev A 76 (2007) 033834.
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40. JM Christian, GS McDonald, P Chamorro-Posada, "Bistable Helmholtz Solitons in Cubic-Quintic Materials", Phys Rev A 76 (2007) 033833.
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41. P Chamorro-Posada, J Sanchez-Curto, VE Grikurov, GS McDonald and JM Christian, "Helmholtz solitons: Maxwell's equations, interfaces, bistability & counterpropagation", Days On Diffraction, St Petersburg, Russia (2008).
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42. J Sanchez-Curto, P Chamorro-Posada and GS McDonald, "Nonlinear interfaces: intrinsically nonparaxial regimes and effects", J Opt A: Pure Appl Opt, 11 (2009) 054015.
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43. JM Christian, GS McDonald, P Chamorro-Posada, "Bistable Helmholtz bright solitons in saturable materials", J Opt Soc Am B 26 (2009) 2323.
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44. JM Christian, GS McDonald, P Chamorro-Posada, "Helmholtz Algebraic Solitons", J Phys A: Math & Theor 43 (2010) Art. No. 085212.
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45. J Sanchez-Curto, P Chamorro-Posada and GS McDonald, "Dark solitons at nonlinear interfaces", Opt Lett 35 (2010) 1347.
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46. JM Christian, GS McDonald, P Chamorro-Posada, "Bistable dark solitons of a cubic-quintic Helmholtz equation", Phys Rev A 81 (2010) Art. No. 053831.
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47. JM Christian, GS McDonald and P Chamorro-Posada, "Helmholtz solitons in optical materials with a dual power-law refractive index", Journal of Nonlinear Optical Physics & Materials 19 (2010) Iss 3, 389-405
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48. J Sanchez-Curto, P Chamorro-Posada and GS McDonald, "Black and gray Helmholtz Kerr soliton refraction", Phys Rev A 83 (2011) Art. No. 013828.
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49. P Chamorro-Posada, J Sanchez-Curto, JC Garcia-Escartin, FJ Diaz-Otero, P Martin-Ramos, J Martin-Gil, LM Navas-Gracia, FJ Fraile-Pelaez, GS McDonald and JM Christian, "Research on Nonlinear and Quantum Optics at the Photonics and Quantum Information Group of the University of Valladolid", Optica Pura Y Aplicada 44 (2011) June, 211-217.
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50. J Sanchez-Curto, P Chamorro-Posada and GS McDonald, "Giant Goos-Hanchen shifts and radiation-induced trapping of Helmholtz solitons at nonlinear interfaces", Opt Lett 36 (2011) No. 18, 3605-3607.
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51. JM Christian, GS McDonald, TF Hodgkinson and P Chamorro-Posada, "Spatiotemporal dispersion and wave envelopes with relativistic and pseudo-Relativistic characteristics", Phys Rev Lett 108 (2012) no 3, Art. No. 034101.
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52. J Sanchez-Curto, P Chamorro-Posada and GS McDonald, "Helmholtz bright and black soliton splitting at nonlinear interfaces", Phys Rev A 85 (2012) Iss. 1, Art. No. 013836.
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53. JM Christian, GS McDonald, TF Hodgkinson and P Chamorro-Posada, "Wave envelopes with second-order spatiotemporal dispersion. I. Bright Kerr solitons and cnoidal waves", Phys Rev A 86 (2012) Iss. 2, Art. No. 023838.
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54. JM Christian, GS McDonald, TF Hodgkinson and P Chamorro-Posada, "Wave envelopes with second-order spatiotemporal dispersion. II. Modulational instabilities and dark Kerr solitons", Phys Rev A 86 (2012) Iss. 2, Art. No. 023839.
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55. P Chamorro-Posada and GS McDonald, "Time domain analysis of Helmholtz soliton propagation using the TLM method", Journal of Nonlinear Optical Physics & Materials 21 (2012) No. 3, Art. No. 1250031.
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56. JM Christian, EA McCoy, GS McDonald, J Sanchez-Curto and P Chamorro-Posada, "Helmholtz bright spatial solitons and surface waves at power-law optical interfaces", Journal of Atomic, Molecular & Optical Physics 2012 (2012) Art. No. 137967.
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57. JG Huang, JM Christian and GS McDonald, "Spontaneous spatial fractal pattern formation in absorptive systems", Journal of Nonlinear Optical Physics & Materials 21 (2012) No. 2, Art. No. 1250018.
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58. EA Chadwick, TF Hodgkinson and GS McDonald, "Gravitational theoretical development supporting MOND", Phys Rev D 88 (2013) Iss. 2, Art. No. 024036.
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59. TF Hodgkinson and GS McDonald, "New theory of general relativity casts doubt on dark matter", The Conversation, 5 August (2013) [ Invited-Authored Article, Readership of over 1,000,000 per month].
View Article

60. P Chamorro-Posada, J Sanchez-Curto, AB Aceves and GS McDonald, "Widely-varying Giant Goos-Hanchen shifts from Airy beams at nonlinear interfaces", Opt Lett, (accepted to appear, 2014).
Abstract | Download paper (pending publication)