Interaction of almost-collinear longitudinal phonons

Harrison H Barrett, J. H. Matsinger

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The interaction of two longitudinal ultrasonic waves to produce sum- and difference-frequency waves has been studied experimentally and theoretically. These interactions are closely analogous to the type of threephonon interactions believed to be important in low-temperature ultrasonic attenuation. We have applied the coherent-state formalism to a description of these interactions and have discussed the similarities between coherent and incoherent processes. Experimentally we have measured the amplitude of the generated sum- or difference-frequency wave as a function of the angle between the input waves and of the amplitude and frequency of the input waves. The effect of crystalline anisotropy has also been observed. The change in amplitude of one of the input waves has been measured as a function of the parameters listed above. In all cases the experimental observations are in good agreement with theory.

Original languageEnglish (US)
Pages (from-to)877-886
Number of pages10
JournalPhysical Review
Volume154
Issue number3
DOIs
StatePublished - 1967
Externally publishedYes

Fingerprint

phonons
interactions
ultrasonic radiation
ultrasonics
attenuation
formalism
anisotropy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Interaction of almost-collinear longitudinal phonons. / Barrett, Harrison H; Matsinger, J. H.

In: Physical Review, Vol. 154, No. 3, 1967, p. 877-886.

Research output: Contribution to journalArticle

Barrett, Harrison H ; Matsinger, J. H. / Interaction of almost-collinear longitudinal phonons. In: Physical Review. 1967 ; Vol. 154, No. 3. pp. 877-886.
@article{0e8ae7104cd645d4bc73837dfb87f688,
title = "Interaction of almost-collinear longitudinal phonons",
abstract = "The interaction of two longitudinal ultrasonic waves to produce sum- and difference-frequency waves has been studied experimentally and theoretically. These interactions are closely analogous to the type of threephonon interactions believed to be important in low-temperature ultrasonic attenuation. We have applied the coherent-state formalism to a description of these interactions and have discussed the similarities between coherent and incoherent processes. Experimentally we have measured the amplitude of the generated sum- or difference-frequency wave as a function of the angle between the input waves and of the amplitude and frequency of the input waves. The effect of crystalline anisotropy has also been observed. The change in amplitude of one of the input waves has been measured as a function of the parameters listed above. In all cases the experimental observations are in good agreement with theory.",
author = "Barrett, {Harrison H} and Matsinger, {J. H.}",
year = "1967",
doi = "10.1103/PhysRev.154.877",
language = "English (US)",
volume = "154",
pages = "877--886",
journal = "Physical Review",
issn = "0031-899X",
publisher = "American Institute of Physics Publising LLC",
number = "3",

}

TY - JOUR

T1 - Interaction of almost-collinear longitudinal phonons

AU - Barrett, Harrison H

AU - Matsinger, J. H.

PY - 1967

Y1 - 1967

N2 - The interaction of two longitudinal ultrasonic waves to produce sum- and difference-frequency waves has been studied experimentally and theoretically. These interactions are closely analogous to the type of threephonon interactions believed to be important in low-temperature ultrasonic attenuation. We have applied the coherent-state formalism to a description of these interactions and have discussed the similarities between coherent and incoherent processes. Experimentally we have measured the amplitude of the generated sum- or difference-frequency wave as a function of the angle between the input waves and of the amplitude and frequency of the input waves. The effect of crystalline anisotropy has also been observed. The change in amplitude of one of the input waves has been measured as a function of the parameters listed above. In all cases the experimental observations are in good agreement with theory.

AB - The interaction of two longitudinal ultrasonic waves to produce sum- and difference-frequency waves has been studied experimentally and theoretically. These interactions are closely analogous to the type of threephonon interactions believed to be important in low-temperature ultrasonic attenuation. We have applied the coherent-state formalism to a description of these interactions and have discussed the similarities between coherent and incoherent processes. Experimentally we have measured the amplitude of the generated sum- or difference-frequency wave as a function of the angle between the input waves and of the amplitude and frequency of the input waves. The effect of crystalline anisotropy has also been observed. The change in amplitude of one of the input waves has been measured as a function of the parameters listed above. In all cases the experimental observations are in good agreement with theory.

UR - http://www.scopus.com/inward/record.url?scp=5244351717&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=5244351717&partnerID=8YFLogxK

U2 - 10.1103/PhysRev.154.877

DO - 10.1103/PhysRev.154.877

M3 - Article

AN - SCOPUS:5244351717

VL - 154

SP - 877

EP - 886

JO - Physical Review

JF - Physical Review

SN - 0031-899X

IS - 3

ER -