QUARTZ CRYSTAL FOR SURFACE ACOUSTIC WAVE DEVICE

Abstract: An ST cut quartz crystal for surface acoustic wave device application defined by the Euler angles lambda (λ) equal to substantially 0°, mu (µ) equal to substantially 132.75° and with an acoustic wave propagation direction theta (ϑ) equal to substantially plus or minus 25°.

Description: This invention relates to an optimal acoustic wave propagation orientation on, particularly an ST cut quartz crystal for surface acoustic wave (SAW) device application. In this application an "ST cut quartz crystal" is defined as a quartz crystal having standard Euler angles lambda (λ) and mu (µ) and does not include the wave propagation angle theta (ϑ), on the cut. A wide variety of SAW devices are now produced for use in the VHF and UHF range and include filters, resonators, delay lines, convolvers, impedance elements and various types of sensors. SAW devices typically involve interdigitated electrodes formed on some type of piezo-electric substrate such as quartz, lithium niobate and the like. The orientations for surface acoustic wave propagation for any given crystal substrate are completely defined by the Euler angles, lambda, mu and theta. The first two angles, lambda and mu, define the crystal cut and the third angle, theta, defines the direction of acoustic wave propagation in that cut. Thus, acoustic wave propagation orientation on the crystal is defined by a unique set of all three Euler angles. (See Goldstein, H., Classical Mechanics , New York, (1950)) (Addison-Wesley). For a variety of surface wave materials and particular crystal cuts of interest, various surface acoustic wave propagation properties can be tabulated. Such tabulation includes velocity, coupling coefficient, electromechanical power flow angle curves, and magnitude and phase of the free surface mechanical displacements and electric surface potential. (see Microwave Acoustic Handbook IA and 2 , Slobodnik et al, Air Force Cambridge Research Labs, October 1973 and October 1974.) Such data as set forth in these handbooks can be used as a guide to selecting appropriate directions for wave propagation and orientation in the crystal necessary to achieve the desired transduction characteristic. Further, principal properties of interest include the effective centres of transduction, centres of reflection, temperature coefficient of delay, spurious bulk responses, diffraction characteristics, effective dielectric constants and the like. In accordance with the present invention a newly discovered quartz crystal cut for acoustic wave propagation has a substantially planar surface defined by the Euler angles lambda (λ) equal to substantially 0°, and mu (µ) equal to substantially 132.75°; and means for defining an acoustic wave propagation direction in the plane of the surface at a Euler angle theta (ϑ) equal to substantially plus or minus 25°. The means for defining the acoustic wave propagation direction may be a mark, or it may be electrodes applied to the surface. This crystal cut has the advantage of having Euler angles lambda (λ) and mu (µ) identical to those of the standard ST cut crystal. Thus the normal ST cut wafer can be used with a newly discovered wave propagation angle of approximately plus or minus 25° from the X-axis. It has excellent coupling between the voltage on the electrodes and the acoustic waves in the crystal itself, has low beam steering and good temperature stability. It can be used for forming a SAW device used as an impedance element, a coupled resonator, or a filter. Further, this cut and novel wave propagation direction allows the construction of a unidirectional surface acoustic wave device comprising two interdigitated electrodes per wavelength on the planar surface of a quartz crystal according to the invention to obtain unidirectional transmission at the Euler angle theta (ϑ). It also allows the construction of a two electrode per wavelength transducer with a desired symmetrical input conductance function and a flat susceptance region. See US-A-4,599,587 for a further description of another embodiment of such a transducer. The present invention will be described more completely in conjunction with the accompanying drawings, in which:- Figure 1 is a representation of the Euler angle lambda (λ) and the direction in which it is moved a distance equal to about 0° in forming the crystal of the present invention; Figure 2 is a representation of the Euler angle lambda (λ) in its moved position and the Euler angle mu (µ) and the direction it is moved equal to about 132.75°; Figure 3 is a representation of the Euler angle theta (ϑ) or the direction of acoustic propagation in the cut crystal in a direction theta (ϑ) equal to about plus or minus 25°; and, Figure 4 illustrates the side view of a surface acoustic wave device having interdigitated electrodes on the planar surface and having the quartz crystal cut with the Euler angles lambda equal about 0° and mu equal to about 132.75° and the direction of propagation angle theta equal to about plus or minus 25°. The newly discovered wave propagation direction on an ST cut quartz crystal provides improved performance of surface acoustic wave (SAW) devices. ST cut quartz crystal substrates are well known in the art and are usually cut in the form of wafers which are thin slices having two substantially planar surfaces with at least one of the planar surfaces cut with the particular orientation that gives the temperature compensated cut. The surface of the crystal on which the electrodes are to be placed is made flat and smooth before the electrodes are placed upon it. Saw devices are used for a large number of applications including impedance elements, resonators, coupled resonators, filters and the like. It is important that the crystal be cut such that good coupling exists between the voltage on the electrodes and the acoustic waves in the crystal itself. The crystal should have low beam steering and good temperature stability. The orientations for surface acoustic wave propagation for any given crystal are completely defined by the Euler angles, lambda (λ), mu (µ), and theta (ϑ). The first two angles, lambda and mu, define the crystal cut and the third angle theta, defines the direction of acoustic wave propagation on that cut. Thus, acoustic wave propagation orientation in the crystal is defined by a unique set of all three Euler angles. Various surface acoustic propagation properties exist at various orientations for a variety of surface wave materials in particular crystal cuts of interest. These properties includes velocity, coupling coefficient, electromechanical power flow angle curves, and magnitude and phase of the free surface mechanical displacements and electric surface potential. In addition, other properties include the temperature coefficient of delay, spurious bulk responses, diffraction characteristics, dielectric constants and the like. The present ST quartz cut with its novel and unique propagation direction allows the construction of a two electrode per wavelength transducer with unidirectional characteristics. It also allows the construction of a two electrode per wavelength transducer with a desired symmetrical input conductance function and a flat susceptance region. Figure 1 illustrates the plane of the Euler angle lambda (λ) and the direction of its rotation a distance equal to about 0°. Figure 2 illustrates the ST cut quartz crystal having a surface which is defined by the Euler angles lambda (λ) equal to about 0° and mu (µ) rotated an angle equal to about 132.75°. The angles lambda and mu are typical for an ST cut quartz crystal but the propagation direction theta (ϑ) is unique and is varied approximately plus or minus 25° from the typical acoustic wave propagation direction as shown in Figure 3 to give new and unusual results specifically including the construction of a two electrode per wavelength transducer having unidirectional wave propagation characteristics. The transducer has a symmetrical conductance function and a flat susceptance region. This structure can be obtained because the separation of the centres of transduction and reflection on this newly discovered orientation is approximately 45°, the desired separation as set forth in US-A-4,599,587. The new orientation also possess a good coupling coefficient, acceptable beam steering and good temperature stability. Thus this structure is formed on a standard ST cut crystal, with an unusual orientation of the wave propagation direction on the cut to enable unidirectional wave propagation. Figure 4 discloses the ST cut quartz crystal 10 with the novel acoustic wave propagation orientation on the cut of plus or minus about 25° and illustrates two electrodes 12 per wavelength placed thereon which allows various acoustic wave devices to be formed. As used herein the Euler angles are for right alpha quartz and related to an XYZ coordinate system as described with reference to the accompanying drawings, and the XYZ coordinate system follows the 1978 IEEE Standard on Piezoelectricity. According to this reference system the +Z direction is chosen parallel to the optic (trigonal) axis. The X direction is chosen to be parallel to an electric (digonal) axis with the positive sense in right quartz being towards the end of the axis modified by the s and x faces. The Y direction is then chosen so as to form a right-handed coordinate system. In left quartz the sense of the X direction is reversed, so that the positive sense is away from the modified end of the electric axis, but still the Y direction is selected to keep a right-handed system. Adoption of this standard results in all the piezoelectric constants of left quartz, to which the invention is equally applicable, having the opposite sign to those of right quartz.

Claims: A quartz crystal for surface acoustic wave propagation, the crystal having a substantially planar cut surface defined by the Euler angles lambda (λ) equal to substantially 0°, and mu (µ) equal to substantially 132.75°; and means for defining an acoustic wave propagation direction in the plane of the surface at a Euler angle theta (ϑ) equal to substantially plus or minus 25°. A unidirectional surface acoustic wave device comprising two interdigitated electrodes per wavelength on the planar surface of a quartz crystal according to claim 1 to obtain unidirectional transmission at the Euler angle theta (ϑ). A device according to claim 2, in which the crystal is in the form of a wafer (10).

Inventors: WRIGHT, PETER V.
Applicants: R.F. MONOLITHICS, INC.
Application year: 1987
Main classification: H03H9
IPC codes: G10K11, H03H9