Skip to main content
Log in

Caustic Pattern of Magnetoelastic Waves in the Vicinity of Magnetoelastic Resonance in Fe\(_{1-x}\)Ga\(_{x}\) Crystal

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

The vicinities of two resonance points where longitudinal and transverse elastic waves interact with the magnetic mode are considered. The caustic patterns of magnetoelastic waves (MEW) in galfenol crystals Fe\(_{1-x}\)Ga\(_{x}\) with two compositions (x = 0.18 and x = 0.086) are calculated. The investigation of MEW focusing and caustic is based on the analysis of constant frequency surfaces, which are obtained in the model of continuous medium. It was found that the caustic patterns significantly depend on the magnitude of external magnetic field and galfenol composition.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Wolfe, J.P.: Imaging Phonons. Acoustic Wave Propagation in Solids, Cambridge University Press, Cambridge (1998)

  2. Bessonov, V.D., Telegin, A.V., Demokritov, S.O.: Spin Waves in Magnetic Films with Antidots. Phys. Met. Metall. 119, 1284–1288 (2018)

    Article  Google Scholar 

  3. Bakharev, S.M., Borich, M.A., Savchenko, S.P.: Features of focusing magnetoelastic waves in YIG crystals. J. Phys: Conf. Ser. 1389, 12096–2102 (2019)

    Google Scholar 

  4. Bakharev, S.M., Borich, M.A., Savchenko, S.P.: Caustic of magnetoelastic waves in elastically isotropic ferromagnets. J. Magn. Magn. Mater. 530, 167862–67869 (2021)

    Article  Google Scholar 

  5. Arnold, V.I.: Catastrophe Theory. Springer, Berlin (1984)

    Book  Google Scholar 

  6. Kawamiya, N., Adachi, K., Nakamura, Y.: Magnetic Properties and Mssabauer Investigations of Fe-Ga Alloys. J. Phys. Soc. Jpn. 33, 1318–1327 (1972)

    Article  ADS  Google Scholar 

  7. Clark, A., Hathaway, K., Wun-Fogle, M., et al.: Extraordinary magnetoelasticity and lattice softening in bcc Fe-Ga alloys. J. Appl. Phys. 93, 8621–8623 (2003)

  8. Kellogg, R.A.: Development and modeling of iron-gallium alloys, Ph.D. thesis, Iowa State University (2003)

  9. Kuleev, I.G., Kuleev, I.I.: Elastic Waves in Cubic Crystals with Positive or Negative Anisotropy of Second-Order Elastic Moduli. Phys. Solid State 49, 437–444 (2007)

    Article  ADS  Google Scholar 

  10. Tucker, J.W., Rampton, V.W.: Microwave ultrasonics in solid state physics. North-Holland Pub. Co., Amsterdam (1972)

    Google Scholar 

  11. Smolensky, G.A., Lemanov, V.V., Nedlin, G.M.: Physics of magnetic dielectrics. Nauka, Leningrad (1974). (in Russian)

    Google Scholar 

  12. LeCraw, R.C.: Physical acoustics. Principles and Methods. Vol. III. Lattice Dynamics. Part B, Academic press, New York and London (1968)

  13. Maris, H.J.: Enhancement of Heat Pulses in Crystals due to Elastic Anisotropy. J. Acoust. Soc. Am. 50, 812–818 (1971)

    Article  ADS  Google Scholar 

  14. Porteous, I.R.: Geometric Differentiation. Cambridge University Press, Cambridge (1994)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. P. Savchenko.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

The research was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation (theme ‘Function’ No. 122021000035-6), S.P.Savchenko thanks IMP UB RAS for supporting the work by the project No. m1-21, which was provided within the state assignment of Ministry of Science and Higher Education of Russia (theme ‘Function’ No. 122021000035-6).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Savchenko, S.P., Bakharev, S.M. & Borich, M.A. Caustic Pattern of Magnetoelastic Waves in the Vicinity of Magnetoelastic Resonance in Fe\(_{1-x}\)Ga\(_{x}\) Crystal. J Supercond Nov Magn 35, 2241–2245 (2022). https://doi.org/10.1007/s10948-022-06224-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-022-06224-6

Keywords

PACS

Mathematics Subject Classification (2020)

Navigation