DIPOLE-EXCHANGE SPIN-WAVE SPECTRUM OF MAGNETIC FILMS

The following sections are included:

• INTRODUCTION

  • Theoretical approaches

• TRIGONOMETRIC DISPERSION RELATIONS

  • Perpendicular magnetization

  • Parallel magnetization

• DIPOLE-EXCHANGE INTEGRO-DIFFERENTIAL EQUATION

• SPIN-WAVE MODES

• EQUATIONS FOR SPIN-WAVE MODE AMPLITUDES

• EXACT DIPOLE-EXCHANGE DISPERSION RELATIONS

  • Dispersion relation in the form of an infinite determinant

  • Dispersion relations in the form of an infinite series

• APPROXIMATE DIPOLE-EXCHANGE DISPERSION EQUATIONS

• DIPOLE-EXCHANGE SPECTRUM: PERPENDICULAR MAGNETIZATION

• DIPOLE-EXCHANGE SPECTRUM: PARALLEL MAGNETIZATION

• EFFECTS OF MAGNETOCRYSTALLINE ANISOTROPY

  • Formulation of the problem

  • Spin-wave spectrum

  • Approximate dispersion equations

• COMPARISON BETWEEN THEORY AND EXPERIMENT

• CONCLUSION

• REFERENCES