Electromagnetic radiation from doubly rotated piezoelectric crystal plates vibrating at thickness frequencies

Lee, P.C.Y.; Kim, Y.-G.; Prévost, Jean‐Hérve

doi:10.1109/ultsym.1989.67021

Cited by 3 publications

(5 citation statements)

References 5 publications

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“…Reciprocity, uniqueness, and minimum principles have been proved in [1]. The vibration of piezoelectromagnetic plates has been studied [2][3][4] to consider the effect of electromagnetic radiation. The prediction of electromagnetic radiation from vibrating piezoelectric bodies is important in the resonator industry.…”

mentioning

confidence: 99%

The vibration of an elastic dielectric with piezoelectromagnetism

Yang¹,

Wu²

1995

Quart. Appl. Math.

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Abstract. This paper presents a few results on the free vibration of a finite elastic dielectric with linear piezoelectromagnetism. Following the proof of selfadjointness, the orthogonality of modes corresponding to different frequencies is proved. A variational principle is given in Rayleigh quotient form for the natural frequency. The variational principle is mixed in the sense that all field variables can be varied independently, and it can be used to generate other variational principles.

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mentioning

confidence: 99%

The vibration of an elastic dielectric with piezoelectromagnetism

Yang¹,

Wu²

1995

Quart. Appl. Math.

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“…332 The extent of the coupling between the EM and acoustic branches is in all cases exceedingly small. 287,333,[339][340][341][342][343][344][345][346][347] When the motion-induced EM fields produced, whether propagating or evanescent, are negligible for the situation contemplated, one speaks of being in the QS regime. 335,336,348 The QS approximation follows from setting ∇ × E = 0 in Maxwell's equations and is apposite because the acoustic wavenumbers greatly exceed the EM wavenumbers; indeed, the QS approximation is nearly universally useful up to the point where the continuum approximation breaks down.…”

Section: Piezoelectric Stiffeningmentioning

confidence: 99%

“…For example, in GaAs and analogous binaries and alloys, due to the coupling, the acoustical branch waves are slowed by a few Å/s, and those of the optical branches are speeded up by fractions of an mm/s. 345…”

Section: Piezoelectric Stiffeningmentioning

confidence: 99%

“…The extent of the coupling between the EM and acoustic branches is in all cases exceedingly small 287,333,339–347 . When the motion‐induced EM fields produced, whether propagating or evanescent, are negligible for the situation contemplated, one speaks of being in the QS regime 335,336,348 .…”

Section: History and Development Of The Subjectmentioning

confidence: 99%

“…Coupling between the EM and acoustic branches is proportional to the square of the (acoustic velocity/lightspeed) ratio times the piezoelectric coupling; typical normalized values are smaller than 10 −10 . For example, in GaAs and analogous binaries and alloys, due to the coupling, the acoustical branch waves are slowed by a few Å/s, and those of the optical branches are speeded up by fractions of an mm/s 345 …”

Section: History and Development Of The Subjectmentioning

confidence: 99%

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Acoustic properties of piezoelectric cubic crystals

Ballato

2023

Int J Ceramic Engine & Sci

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This paper is offered as a complementary adjunct to the many treatments of the electronic and photonic properties of cubic III–V and II–VI compounds appearing in the literature. These crystals typically exhibit piezoelectricity, due to the molecular dissymmetry, thereby allowing the inclusion of classical mechanical/acoustic features along with the quantum. We discuss the history of this modality and then illustrate its use by applying it to an electro‐elastic problem that has the estimable virtues of having an exact solution, along with wide practical applicability: determination of the piezocoupling values governing the excitation of thickness vibrations in thin cubic films or plates of arbitrary crystallographic orientation by electric fields directed either along, or lateral to, the thickness. Explicit results are given for orientations along the great‐circle paths connecting the principal directions [100], [110], and [111]. The formalism is then applied to GaAs as an example; it is further demonstrated that various results, such as the orientational variations of piezocoupling factors, are generally applicable to other members of the III–V and II–VI families by scaling. Ancillary aspects, such as errors due to misorientations, nonlinearities, and equivalent circuit representations, are described and discussed. This work is dedicated to Gerald W. Farnell (1925–2015), Prof. Emeritus, McGill University, Montréal, Canada.

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Calculation of radiated electromagnetic power from bulk acoustic wave resonators

Campbell

Weber

1993 IEEE International Frequency Control Symposium

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In this paper, a general technique for calculating the radiated electromagnetic fields from an electrically small bulk acoustic wave resonator in the vicinity of acoustic resonance is presented. The BAW resonator is analyzed as an electrically small microstrip antenna on a piezoelectric substrate. By the application of the surface equivalence principle, the device is replaced by equivalent sources. The radiated far fields found from the equivalent sources are integrated over the upper half plane to determine the total amount of radiated EM power as a function of frequency. The result is general enough to characterize the electromagnetic radiation from arbitrarily shaped metalizations, and the antenna pattern and polarization of the radiation may also be determined. The theoretical results are experimentally confirmed by measuring the radiated EM power spectrum from lithium niobate and quartz resonators.

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Electromagnetic radiation from doubly rotated piezoelectric crystal plates vibrating at thickness frequencies

Cited by 3 publications

References 5 publications

The vibration of an elastic dielectric with piezoelectromagnetism

The vibration of an elastic dielectric with piezoelectromagnetism

Acoustic properties of piezoelectric cubic crystals

Calculation of radiated electromagnetic power from bulk acoustic wave resonators

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