Abstract:An equivalent network theory and a coupled mode theory are described for the analysis of excitation characteristics of interdigital transducers (IDT) for surface acoustic waves. Circuit parameters of equivalent circuits and coupling and transduction coefficients of coupled mode equations can be theoretically determined by applying the finite-element method to an infinite array corresponding to an electrically shorted or open IDT. Examples are computed for two types of IDTs fabricated on a 128° Y-X LiNbO3 subst… Show more
“…The substrate region and the vacuum region are divided with one superelement (with M = 2N spatial harmonics). The parameters in the mode-coupled equations are computed by the method proposed by the authors [14].…”
Section: Numerical Examplesmentioning
confidence: 99%
“…They have carried out an analysis of a FEUDT on a 128° YX LiNbO 3 substrate and have demonstrated its validity by a comparison with experimental data [14]. In this method, various parameters in the mode-coupled equations are computed from the upper and lower limit frequencies and the potential standing wave distributions of the stopband of the grating reflectors with an infinitely long SPUDT feed line both shorted and open.…”
SUMMARYThe finite-element analysis method based on the hybrid variational principle is proposed for analysis of the dispersion characteristic of periodic surface acoustic waveguides with a one-wavelength period. A new formulation is used for finite element approximation applied to the periodic function part of Floquet modes. This approach allows elimination of the uniform field without sinusoidal variations in the periodic direction, which has been included in the conventional hybrid finite-element analysis to directly approximate the entire field distribution. Hence, an analysis of periodic waveguide structures with a one-wavelength period is now possible. Specifically, the reflection properties are studied for a metallic grating reflector with a one-wavelength period formed on an X-112°Y LiTaO 3 substrate and for a DART and an EWC-SPUDT.
“…The substrate region and the vacuum region are divided with one superelement (with M = 2N spatial harmonics). The parameters in the mode-coupled equations are computed by the method proposed by the authors [14].…”
Section: Numerical Examplesmentioning
confidence: 99%
“…They have carried out an analysis of a FEUDT on a 128° YX LiNbO 3 substrate and have demonstrated its validity by a comparison with experimental data [14]. In this method, various parameters in the mode-coupled equations are computed from the upper and lower limit frequencies and the potential standing wave distributions of the stopband of the grating reflectors with an infinitely long SPUDT feed line both shorted and open.…”
SUMMARYThe finite-element analysis method based on the hybrid variational principle is proposed for analysis of the dispersion characteristic of periodic surface acoustic waveguides with a one-wavelength period. A new formulation is used for finite element approximation applied to the periodic function part of Floquet modes. This approach allows elimination of the uniform field without sinusoidal variations in the periodic direction, which has been included in the conventional hybrid finite-element analysis to directly approximate the entire field distribution. Hence, an analysis of periodic waveguide structures with a one-wavelength period is now possible. Specifically, the reflection properties are studied for a metallic grating reflector with a one-wavelength period formed on an X-112°Y LiTaO 3 substrate and for a DART and an EWC-SPUDT.
A method for analysis of natural single‐phase unidirectional transducer (NSPUDT), which is one of unidirectional surface acoustic wave interdigital electrodes, is proposed in which the mode coupling theory and the finite‐element method are used. the finite‐element method is used for calculations of the upper and lower limit frequencies of the stop band, the potential standing wave distribution at these frequencies, and the static capacitance per electrode pair for the short and open gratings corresponding to the electric terminals either shorted or open. In the substrate used for NSPUDT, the locations of the maximum and minimum of the standing wave in general vary in the depth direction of the substrate. Hence, it is not possible to use the standing wave pattern in the substrate as is used for a substrate surface where electrodes are present. the variation of the potential in the depth directional of the substrate is incorporated into the mode coupling theory in this research, so that the depth dependence of the standing wave profile is qualitatively evaluated. Hence, it is made possible to confirm the locations of the maximum and minimum of the standing wave at the substrate surface from the standing wave profile in the substrate.
Specifically, the present method is applied to NSPUDT on an ST‐cut 25deg; X‐propagation quartz substrate so that its validity and usefulness are confirmed.
When a strip grating of periodic strips of Au, Ag, or Pt is produced on a rotated Y‐cut LiNbO3, a Love‐type surface wave with a high coupling (K2 > 30 percent) is formed and the reflection coefficient per strip is as large as several tens percent.
In this paper, a small IDT resonator, with an extremely low capacitance ratio making use of the Love‐type surface wave, is studied theoretically and experimentally.
First, the admittance characteristics of the IDT are studied by means of the mode‐coupling equation, which is determined by the dispersion characteristics derived from the Floquet theorem. It can be shown that the IDT exhibits resonant characteristics and the capacitance ratio is 2.4 – 2.7 if the number of pairs is more than 10.
Next, an experiment was carried out by using a combination of the Y‐X LiNbO3 substrate and the Au electrodes. It is demonstrated that the resonator with a low‐capacitance ratio can be realized, as predicted by the theory. Further, rhombically weighted electrodes are proposed. It is confirmed that the spurious transverse mode and the spurious longitudinal mode can be suppressed simultaneously.
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