Education

• 1985

  Bachelor degree from MathematicsFaculty of Science, King AbdulAziz Univ, جده, المملكة العربية السعودية

• 1986

  Master degree from MathematicsFaculty of Sciences, King AbdulAziz University- Jed, جدة, المملكة العربية السعودية

• 1995

  Doctorate degree from MathematicsScience, Manchester University- UK, مانشستر, بريطانيا

Employment

Research Interests

  Applied Mathematics
Mathematical Modeling of physical and biological systems
(stability, nonlinearity )

1. “Periodic Squeezing in the Tavis-Cummings Model”, S.S. Hassan, M.Sebawe Abdallah, A.-S.F. Obada and H.A. Batarfi, J. Mod. Optics, 40, No.7, 351(1993).
2. “Field Disturbition in a Generalised Geometric Radiation State”, H.A. Batarfi, M.Sebawe Abdallah, A.-S.F. Obada and S.S. Hassan, Phys. Rev.A, 51, No.3, 2644(1995).
3. “Generalised Dispersion Relations for Dielectrics in Squeezed Vacua, S.S. Hassan, R.K. Bullough, R. Saunders and H.A. Batarfi, in Quantum Communications and Measurements, eds: V.P. Belvkin, O. Hirota and R.L. Hudon, Plenum Press, NY, 89(1995).
4. “Optical Dispersive Relations and Complex Refractive Index for Atoms in Squeezed Vacua”, S.S. Hassan, R.K. Bullough and H.A. Batarfi, in Studies in Classical and Quantum Non-Linear Optics, eds: Ole Keller ed., Nova Science Publ. Inc., Commack, NY, 609(1995).
5. “Generalised Dispersion Relations and Optical Bistability in Squeezed Vacua”, R.K. Bullough, H.A. Batarfi, S.S. Hassan, M.N.R.
6. “Squeezed Generalised Geometric field State”, H. A. Batarfi, M. Sebawe Abdallah and S. S. Hassan, Nonlinear Optics, 16, 131 (1996).
7. “Squeezing-Induced Resonant Finite Refractive Index-Zero Absorption”, S. S. Hassan, H. A. Batarfi, S. K. Ng and M. R. B. Wahiddin, J. Phys. B: At. Mol. Opt. Phys., 30, L777(1997).
8. “Bistable Behaviour in Squeezed Vacua:I. Stationary Analysis”, S. S. Hassan, H. A. Batarfi, R. Saunders and R. K. Bullough, Eur. Phys. J. D, 8, 403(2000).
9. “Bistable Behaviour in Squeezed Vacua:II. Stability Analysis and Chaos”, H. A. Batarfi, S. S. Hassan, R. Saunders and R. K. Bullough, Eur. Phys. J. D, 8, 417(2000).
10. “Operator Reaction Field Theory in Quantum Optics: A Study of One Two-Level Atom in a Broad-Band Squeezed Vacuum Without Rotating Wave Approximation”, S. S. Hassan, H. A. Batarfi and R. K. Bullough, J. Opt. B: Quantum Semiclass. Opt., 2, R35(2000).
11. “Stability Analysis of Counter-Propagating Fields in a Nonlinear System with Phase-Sensitive Source”, H. A. Batarfi, IJAM, 10, No. 1, 99(2002).
12. " Generalised Bloch equations of some dynamical quantum systems" H.A.Batrafi and S.S.Hassan, 2005 ,proc.2nd Saudi Sci.Conf.,Fac.Sci.,KAU(Jeddah),15-17 March 2004, Part IV, PP 161-176.
13.  “Bistability of V-shaped Nonlinear Atomic System with Phase-Sensitive Source”, H. A. Batarfi (KAU Funded research number 504/422) , IJPAM 2005.
14. " Dispersive Switching in Bistable Models", H.A. Batarfi, 2008,  JNOPM, 17, 265- 273.
15. "Spectra of Jaynes-Cummings Model in Presence of a Second Harmonic Generation", H. A. Batarfi, Isa A. Al-Khayat, M. Sebawe Abdalla and S. S. Hassan, 2009, Int. J. Mod. Phys. B, 23, 2213-2232.
16. " Spectrum of a Triangular Pulsed-Driven System", S. S. Hassan, A. Joshi and H. A. Batarfi, 2009, Intl. J. Theor. Phys., Group Theory and Nonlinear Optics, 13 No. ¾, 371-382 (KAU Funded research No 427/307).
17. “Transient behaviour of an intensely driven atom in a squeezed vacuum”, H. Batarfi, T. Jarad and M. R. Qader,2009,  IJAM, 22  No 7, 1075-1086.
18.  “Iterative Solution of Non-Autonomous Bloch Equations: Fluorescence Spectrum with Detuned Squeezed Vacuum Field”, H. A. Batarfi, R. A. Al-Harbi, R. Saunders and S. S. Hassan, 2010, Cand. J. Phys. 88, 529-543.(KAU funded research 429).
19. “Nonlinear Refractive Index Theory in Squeezed Vacua: I-Generalized Bloch-Maxwell Equations and Dispersion Relations”, S. S. Hassan, R. K. Bullough, H. A. Batarfi and R. Saunders, Int. J. Theor. Phys., Group Theory and Nonlinear Optics, 13, pp339-354.
20. “Haar Wavelet Spectrum of a Pulsed-Driven Qubit”, S. S. Hassan,M. A. Al-Saegh, A. S. Mohamed and H. A. Batarfi, 2011, Nonlinear Optics and Quantum Optics: Concepts in Modern Optics, 42, pp 37-50.
21. “Coherent Effects in Mesoscopic Multistability Without Rotating Wave Approximation”, under publication, 2012 (KAU Funded Research Number 417/247/1432.

Scientific interests

Low- or high-level numerical programming (Fortran, Maple, Matlab, Mathemaatica)
Numerical analysis using graphs or data
Drawing using Photoshop(ing)
Mathematical modelling of sciences systems (physics-Bio-Finance)
using differential equations (Ordinary-delay-fractional)

Courses

Areas of expertise