Brillouin Scattering in Lithium Niobate

O’Brien, Robert; Rosasco, G. J.; Weber, Alfons

doi:10.1007/978-3-642-87357-7_67

Cited by 11 publications

(5 citation statements)

References 7 publications

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“…Because of the relatively large piezoelectrically induced increase in the magnitude (piezoelectric stiffening) and anisotropy of the sound velocity entering into formula (25), by precise measurements of the Brillouin frequency shift in the dependence of the scattering geometry (e.g. the scattering angle 0) and of the polarizations, not only the pure elastic but also (certain) piezoelectric constants can be determined, (Cecchi et aL, 1970;O'Brien et al, 1969). Moreover the intensities of the non-linearly generated waves essentially depend on the tensor of the effective photoelastic constants.…”

Section: Briliouin Scattering In Piezoelectric Mediamentioning

confidence: 99%

The influence of piezoelectric coupling on material constants determining Brillouin scattering

Macheleidt¹

1975

Acta Cryst Sect A

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The piezoelectric modifications of the tensors of elastic, optical and photoelastic constants and their consequences on spontaneous and stimulated Brillouin scattering are discussed. Basic equationsStarting with the expansion of the thermodynamic potential f(Uz,,,,Ez) of a lossless medium with respect to the strain Uz~ and the electric field Et,we obtain the equations of state we need for the macroscopic description of the Brillouin scattering process Of --fliktn, Ulm -t-~stkEs-t-½~tmikEtEm Stk-OUt,,Since we are dealing with high-frequency processes, namely ultrasonic and optical waves, in (2) and (3) the partial derivatives should be taken at constant entropy. That is the coefficients in (2) and (3) represent adiabatic constants. The optical constants ~k and etk = ark + eofitk, the elastic constants flt,,,,, the piezoelectric constants )'tkt, the electrooptical constants atkz and the photoelastic constants Yikt,n give the connexions between the electric field Et. the strain U~m and the electric polarization Pt as well as the stress S~k. The linear piezoelectric coupling of the elastic and electric fields is given by the tensor of the piezoelectric constants Ys,,. Because of its index symmetry ys,k= 7ski there are only 18 linearly independent components. This number is further reduced by the symmetry of the crystallographic class. For instance C6v (6ram) (e.g. ZnO, CdS, ZnS, CdSe, CdTe, ZnTe) has three independent piezoelectric constants, Car (3m) (e.g. LiNbO3) four constants, Ta ~3m) (e.g. ZnS, GaAs, InSb, GaP, InAs, ZnSe) only one independent component. For media with inversion symmetry piezoelectricity does not exist.We have to substitute the equations of state (2,3) into the field equations of Maxwell's and Newton's continuum theory Mixed acoustoelectromagnetic wavesAt first we will consider only the linear terms and assuming plane waves with wave vectors k = kn, K = KN and unit vectors n,N of the wave normalsUt = Ut exp [i(Kx-f2t)],we get the equations (k=K, co=t2):(kikk-k2~ik q-C~ eik )Ek --lflofD ~ikl (e~'~2c~il--~iklmkmkk)Ui "~ i~)sikEskk=O .

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Section: Briliouin Scattering In Piezoelectric Mediamentioning

confidence: 99%

The influence of piezoelectric coupling on material constants determining Brillouin scattering

Macheleidt¹

1975

Acta Cryst Sect A

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“…That the photoelastic constant p ij for the SLN crystal should be of the same order of magnitude as those for the CLN crystal seems a reasonable assumption. For the Ti:SLN (Ti 4 mol%) crystal, which showed almost the same value of Dn e as for the Tidiffused SLN waveguide, the calculated values for p 11 ¼ 0:034; p 12 ¼ 0:072; p 13 ¼ 0:096; p 14 ¼ 0:0066; p 31 ¼ 0:178; and p 33 ¼ 0:094 [13] at a wavelength of 633 nm are given in Table 1 investigate the shift of the absorption band edge, we therefore measured the transmittance spectra through room-temperature spectrophotometry. Fig.…”

Section: Resultsmentioning

confidence: 88%

Crystal growth and characterization of titanium-doped near-stoichiometric LiNbO3

Nakamura¹,

Takekawa²,

Kurimura³

et al. 2004

Journal of Crystal Growth

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“…Only six from ten coefficients result from direct measurements. To solve all necessary equations Smith and Welsh observed that it is inevitable Elastic Constants (GPa) O'Brien 4 Smith 9 Kovacs 10 to perform many measurements on many crystals with many orientations 9 .…”

Section: B Y-cut Lithium Niobatementioning

confidence: 99%

“…The reported properties of lithium niobate were obtained using different techniques. O'Brien et al 4 reported elastic and piezoelectric properties obtained using the Brillouin light scattering (BLS) technique for bulk phonons in samples with different orientations oriented along pure crystalline directions. The measurements in the present work also rely on bulk BLS measurements [5][6][7][8] , but with a single Y-cut wafer, and rely on a variety of phonon wave vectors to sample the acoustic phonon velocity surfaces.…”

Section: Introductionmentioning

confidence: 99%

Estimation of the elastic and piezoelectric tensors of sapphire and lithium niobate from Brillouin light backscattering measurements of a single crystal sample

Ugarak,

Iglesias Martínez,

Mosset

et al. 2023

Journal of Applied Physics

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Brillouin light scattering is a versatile measurement technique of the dispersion of bulk acoustic phonons in amorphous and crystalline solids. It allows contactless and non-destructive characterization of the relevant material tensors of optically transparent materials, provided that the optical refraction indices, and in addition the dielectric tensor for piezoelectric materials, are known beforehand. The complete estimation of the anisotropic material tensors is often performed using many different crystal orientations, and hence different samples of the same crystal. In this paper, we consider the problem of measuring those tensors using a single sample of an anisotropic single crystal with trigonal symmetry. A complete measurement requires sufficient experimental diversity in the phonon wavevectors when sampling the phonon velocity surfaces, hence the consideration of a large number of directions away from crystallographic axes. We estimate all six independent elastic constants of non-piezoelectric sapphire (3¯ m point group) with a single X-cut wafer and the six independent elastic constants together with the four independent piezoelectric constants of piezoelectric lithium niobate (3 m point group) with a single Y-cut wafer. The estimated tensors are in close agreement with those reported in the literature based on resonant ultrasonic techniques.

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Brillouin Scattering in Lithium Niobate

Cited by 11 publications

References 7 publications

The influence of piezoelectric coupling on material constants determining Brillouin scattering

The influence of piezoelectric coupling on material constants determining Brillouin scattering

Crystal growth and characterization of titanium-doped near-stoichiometric LiNbO3

Estimation of the elastic and piezoelectric tensors of sapphire and lithium niobate from Brillouin light backscattering measurements of a single crystal sample

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