Propagation of Spin Wave Through the Anisotropic Boundary of Two Uniaxial Ferromagnets in an External Magnetic Field

Authors

  • Оксана Юріївна Горобець NTUU KPI, Ukraine
  • Юрій Іванович Горобець Institute of magnetism of the NASU and MESU, NTUU KPI, Ukraine
  • Володимир Петрович Роспотнюк NTUU KPI, Ukraine
  • Тетяна Юріївна Роспотнюк NTUU KPI, Ukraine

DOI:

https://doi.org/10.20535/1810-0546.2014.4.28310

Keywords:

Spin waves, Ferromagnet, The surface magnetic anisotropy, The boundary conditions for the magnetization, Landau–Lifshitz equation

Abstract

This paper represents the investigation of the reflection of bulk spin waves at the interface of two uniaxial ferromagnetic media that propagate at an angle to the interface and their penetration from one ferromagnetic medium to another one. Thereby, the interaction similar to the interaction of two antiferromagnets is taken into account at the boundary interface between two media in an external constant uniform magnetic field. The problem is solved in the formalism of spin density based on equations of Landau–Lifshitz in the absence of dissipation in the system. The boundary conditions are proposed and imposed on the magnetization vector at the boundary of the interface of ferromagnets taking into account the energy of the boundary anisotropy. The expressions are also calculated for the reflection and transmission coefficients of spin waves in this case. It is shown that the intensity of the reflected spin waves and those that penetrated into the medium of another ferromagnet depends on the parameters characterizing the anisotropy of the interface section in the case of presence of the magnetic anisotropy of the boundary interface of ferromagnets.

Author Biographies

Оксана Юріївна Горобець, NTUU KPI

Doctor of physics and mathematics, full professor, professor at the NTUU KPI.

Юрій Іванович Горобець, Institute of magnetism of the NASU and MESU, NTUU KPI

Doctor of physics and mathematics, full professor, deputy director of the Institute of magnetism of the NASU and MESU, head of department of the NTUU KPI

Володимир Петрович Роспотнюк, NTUU KPI

Student

Тетяна Юріївна Роспотнюк, NTUU KPI

Student

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Published

2014-08-19