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Parametric Decay of a Laser Beam into Ultrasonic and Helicon Waves in Longitudinally Magnetized Semiconductors

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Using the hydrodynamic model of homogeneous plasmas, the parametric decay of a laser beam into an ultrasonic wave and a helicon wave has been studied in heavily doped n-type semiconductors in the presence of a longitudinal magnetostatic field. This decay process results in the parametric excitation of acousto-helicon waves. It is found that the threshold electric field is independent of magnetic field while the growth rate increases with square of it. It is inferred that the presence of a deformation potential has considerable effect on the growth rate. Numerical analyses are made for n-InSb at 77 K ; the unstable mode is found to be propagating with a growth rate ∼ 103 s−1 when the crystal is irradiated with 10.6 μm CO2 laser.

Zusammenfassung

Unter Benutzung des hydrodynamischen Modells homogener Plasmen wurde die parametrische Umwandlung eines Laserstrahls in eine Ultraschallwelle und eine Helikonwelle in stark n-dotierten Halbleitern in Gegenwart eines longitudinalen magnetischen Feldes untersucht. Dieser Prozeß führt zur parametrischen Anregung von akustischen Helikonwellen. Es stellt sich heraus, daß der Schwellenwert des elektrischen Feldes unabhängig vom Magnetfeld ist, während die Wuchsrate quadratisch mit ihr ansteigt. Es wird gefolgert, daß die Gegenwart eines Deformationspotentials beträchtlichen Einfluß auf die Wuchsrate hat. Numerische Berechnungen wurden für n-InSb bei 77 K vorgenommen; es zeigt sich, daß sich die instabile Mode mit einer Wuchsrate ∼ 103s−1 ausbreitet, wenn der Kristall mit einem 10,6 μm-CO2-Laser bestrahlt wird.

Sommaire

Le modèle hydrodynamique des plasmas homogènes a servi à étudier la décomposition paramétrique d'un faisceau laser en un onde ultrasonore et une onde hélicon dans les semi-conducteurs du type n fortement dopés et soumis à un champ magnétostatique longitudinal. Ce processus de transmutation se présente comme le résultat d'une excitation paramétrique d'ondes acousto-héliconiques. On trouve que la valeur de seuil du champ électrique est indépendante du champ magnétique tandis que son taux de croissance évolue comme le carré de ce champ. On en conclut que la présence d'un potentiel de déformation aura un effet considérable sur le taux de croissance. Une application numérique a été effectuée pour le cas de InSb (n) à 77 K ; elle prévoit que le mode instable doit se propager avec un taux de croissance de l'ordre de 103s−1 lorsque ce cristal est irradié avec l'onde de 10,6 μm d'un laser à CO2.
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Document Type: Research Article

Publication date: December 1, 1982

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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