Compression of Acoustic Beams at Conversion Reflection in Hexagonal Crystals

Lyubimov, V. N.; Bessonov, D. A.; Alshits, V. I.

doi:10.1134/s1063774518040168

Cited by 3 publications

(3 citation statements)

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“…4, and the numerator of R 2 is given by Eq. (11). After some straightforward calculations, one obtains…”

Section: Analytical Description Of Resonance Characteristicsmentioning

confidence: 99%

“…In this section based on [11], we present the explicit analytical theory of the effect under consideration for a hexagonal medium with transversely isotropic elastic properties, which makes it possible to specify the above general relations and express the geometric conditions for mode conversion in terms of the moduli of elasticity of crystal. Analytical considerations will be supplemented with numerical calculations for some of hexagonal crystals.…”

Section: Explicit Theory For Hexagonal Crystalsmentioning

confidence: 99%

“…In [10,11], the more general analysis was accomplished which allowed us to demonstrate that the mode conversion of resonance near total internal reflection (i.e., the scheme in Figure 1a without the parasitic beam r1) can be implemented in almost any acoustic crystal by a consistent variation of orientations of both the boundary and the sagittal planes.…”

Section: Introductionmentioning

confidence: 99%

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Resonance Compression of Acoustic Beams in Crystals

Alshits¹,

Bessonov²,

Lyubimov³

2019

Acoustics of Materials

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The resonant excitation of an intense elastic wave through nonspecular reflection of a special pump wave in a crystal is described. Geometric criteria are found under which mode conversion, when the incident and reflected beams belong to different acoustic branches, coexists with total internal reflection of an acoustic beam. In this case, the entire energy of an incident pump wave is spent on the excitation of a narrow intense reflected beam close in structure to an eigenmode. A consistent choice of orientations of the sagittal plane and crystal surface that excludes the reflection of a parasitic wave of leakage is found. The resonance parameters have been found for a medium with an arbitrary anisotropy. General relations are concretized for monoclinic, orthorhombic, trigonal, tetragonal, cubic, and hexagonal systems. Estimates and illustrations are given for a series of such crystals. The intensity of the reflected beam increases with its narrowing, but its diffraction divergence also increases with this narrowing. Nevertheless, the intensity of the beam can be increased by a factor of 5-10 at sufficiently high frequencies while keeping its divergence at an acceptable level. Amplification by two orders of magnitude can be achieved by compressing the beam in two dimensions through its double reflection.

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“…4, and the numerator of R 2 is given by Eq. (11). After some straightforward calculations, one obtains…”

Section: Analytical Description Of Resonance Characteristicsmentioning

confidence: 99%

Section: Explicit Theory For Hexagonal Crystalsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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