Phonon polaritons in magnetoelectric multiferroics film: the possibility to drive surface modes using magnetic field

Abstract

In this paper, we report our numerical study of transverse mode phonon polaritons generated on magnetoelectric multiferroic films. The mathematical models of the dispersion relation for both surface and guided-wave modes were derived by solving the Maxwell equations. Then, numerical calculations were performed for various thicknesses using parameters suitable for illustrating magnetoelectric multiferroic BaMnF4. It was found that around the thicknesses of 0.1 mm–1 mm, the guided-wave modes were discreet. The surface phonon polaritons were obtained at the region between ferroelectric resonant frequency ω e and intercept frequency ω i. These surface modes were reciprocal, i.e., ω( k ) = ω(− k ). These results were in good agreement with the calculated attenuated total reflection spectra. It was also found numerically that the application of a magnetic field was able to shift the frequency of the surface phonon polaritons.

calculated attenuated total reflection (ATR) for analyzing surface plasmon polaritons

“…Here, we used the dielectric thickness 0.35 cm and damping cm. The trend of the calculated ATR in this paper (figure 2a) was similar to the trend of the ATR spectroscopy from the previous studies (Jensen, 1997;Gunawan, 2021). The dip in ATR spectroscopy was related to the intersection between ATR line and dispersion relation curve curve (see figure 2b).…”

“…The reciprocal property of surface polaritons on the surface of semi-infinite multiferroics was shown in ATR spectroscopy (Gunawan et al, 2011). The existence of surface polaritons on multiferroic film were also predicted numerically using calculated ATR (Gunawan et al, 2017;Gunawan et al, 2021). The ATR spectroscopy was obtained by measuring the ATR reflectance.…”

effect of fatty acid’s dielectric constant in the generation of surface plasmons using numerical attenuated total reflection (ATR)

“…The existence of these dips predicted the possibility to excite surface plasmon which then generating surface plasmon polaritons at the interface between metal and fatty acid. The results in figure 2 also showed that the trend of the curvatures similar to the shape of calculated ATR spectroscopy from the previous studies (Jensen, 1997;Gunawan, 2021). These SPR was significantly affected by metal since it had the role as active material to provide the free charges.…”

“…Using this method, the existence of surface plasmon excitation was shown by a sharp decrease in ATR spectroscopy. The ATR had successfully used in the studies of surface plasmons excitation in various materials, such as: dielectrics (Borstel et al, 1974 ;Torii et al, 2000), magnetics (Jensen et al, 1995;Jensen et al,1997) and also magnetoelectric multiferroics (Gunawan et al, 2011;Gunawan et al, 2017;Gunawan et al, 2021). The ATR can also be performed numerically by calculating the ATR reflection.…”