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Materials and Physics research centre

Selected Research Publications

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).

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].

58. EA Chadwick, TF Hodgkinson and GS McDonald, "Gravitational theoretical development supporting MOND", Phys Rev D 88 (2013) Iss. 2, Art. No. 024036.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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.

45. J Sanchez-Curto, P Chamorro-Posada and GS McDonald, "Dark solitons at nonlinear interfaces", Opt Lett 35 (2010) 1347.

44. JM Christian, GS McDonald, P Chamorro-Posada, "Helmholtz Algebraic Solitons", J Phys A: Math & Theor 43 (2010) Art. No. 085212.

43. JM Christian, GS McDonald, P Chamorro-Posada, "Bistable Helmholtz bright solitons in saturable materials", J Opt Soc Am B 26 (2009) 2323.

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.

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).

40. JM Christian, GS McDonald, P Chamorro-Posada, "Bistable Helmholtz Solitons in Cubic-Quintic Materials", Phys Rev A 76 (2007) 033833.

39 . JM Christian, GS McDonald, P Chamorro-Posada and RJ Potton, "Helmholtz Solitons in Power-Law Optical Materials", Phys Rev A 76 (2007) 033834.

38. JM Christian, GS McDonald and P Chamorro-Posada, Note on "Helmholtz Bright and Boundary Solitons", J Phys A: Math & Theor 40 (2007) 8601.

37. J Sanchez-Curto, P Chamorro-Posada and GS McDonald, "Helmholtz Solitons at Nonlinear Interfaces", Opt Lett 32 (2007) 1126.

36. JM Christian, GS McDonald and P Chamorro-Posada, "Helmholtz Bright and Boundary Solitons", J Phys A: Math & Theor 40 (2007) 1545.

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.

34. P Chamorro-Posada and GS McDonald, "Spatial Kerr Soliton Collisions at Arbitrary Angles", Phys Rev E 74 (2006) 036609.

33. JM Christian, GS McDonald and P Chamorro-Posada, "Helmholtz-Manakov Solitons", Phys Rev E 74 (2006) 066612.

32. JG Huang, JM Christian and GS McDonald, "Fresnel Diffraction and Fractal Patterns from Polygonal Apertures", J Opt Soc Am A 23 (2006) 2768.

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).

30. JG Huang and GS McDonald, “Spontaneous Optical Fractal Pattern Formation”, Phys Rev Lett 94, 174101, May (2005).

29. P Chamorro-Posada and GS McDonald, “Exact Analytical Helmholtz Bright And Dark Solitons”, Proc SPIE 5582 ,  Advanced Optoelectronics and Lasers (2004) 154-161.

28. P Chamorro-Posada and GS McDonald, “Helmholtz Dark Solitons”, Opt Lett 28 (2003) 825.

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.

26. GHC New, M Yates, JP Woerdman and GS McDonald, “Diffractive Origin of Fractal Resonator Modes”, Opt Commun 193 (2001) 261.

25. P Chamorro-Posada, GS McDonald and GHC New, “Nonparaxial Beam Propagation Methods”, Opt Commun 192 (2001) 1.

24. KS Syed, GS McDonald and GHC New, “Transverse Effects in Multifrequency Raman Generation”, J Opt Soc Am B 17 (2000) 1366.

23. P Chamorro-Posada, GS McDonald and GHC New, “Propagation Properties of Nonparaxial Spatial Solitons”, J Mod Opt 47 (2000) 1877.

22. GS McDonald, GP Karman, GHC New and JP Woerdman, “The Kaleidoscope Laser”, J Opt Soc Am B 17 (2000) 524.

21. GP Karman, GS McDonald, GHC New and JP Woerdman, “Fractal Modes in Unstable Resonators”, Nature 402  (November, 1999) 138.

20. GP Karman, GS McDonald, JP Woerdman and GHC New, ”Excess-Noise Dependence on Intra-Cavity Aperture Shape”, Appl Opt 38 (1999) 6874.

19. GS McDonald, GHC New and JP Woerdman, “Excess Noise in Low Fresnel Number Unstable Resonators”, Opt Commun 164 (1999) 285.

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.

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.

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.

15. P Chamorro-Posada, GS McDonald and GHC New, “Nonparaxial Solitons”, J Mod Opt 45 (1998) 1111.

14. S Chavez-Cerda, GS McDonald and GHC New, “Nondiffracting Beams: Travelling, Standing, Rotating and Spiral Waves”, Opt Commun 123 (1996) 225.

13. GS McDonald, “Ultrabroad Bandwidth Multifrequency Raman Soliton Pulse Trains”, Opt Lett 20 (1995) 822.

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.

11. GS McDonald, GHC New, LL Losev, AP Lutsenko and MJ Shaw, “Ultrabroad Bandwidth Multi-frequency Raman Generation”, Opt Lett 19 (1994) 1400.

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.

9. GS McDonald and WJ Firth, ”Switching Dynamics of Spatial Solitary Wave Pixels”, J Opt Soc Am B 10 (1993) 1081.

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.

7. GS McDonald, KS Syed and WJ Firth, “Dark Spatial Soliton Break-up in the Transverse Plane”, Opt Commun 95 (1993) 281.

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.

5. WJ Firth, AJ Scroggie, GS McDonald and LA Lugiato, “Hexagon Patterns in Optical Bistability”, Phys Rev A 46 (1992) 3609.

4. GS McDonald, KS Syed and WJ Firth, “Optical Vortices in Beam Propagation Through a Self-Defocussing Medium”,  Opt Commun 94 (1992) 469.

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).

2. GS McDonald and WJ Firth, “Spatial Solitary Wave Optical Memory”, J Opt Soc Am B 7 (1990) 1328.

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