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Approximate Green's function representations for the analysis of SAW and leaky wave devices
1COM DEV, Cambridge, ON, Canada. robert.peach@comdev.ca
IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|November 28, 2009
Summary
This study presents a novel method to approximate the Green's function for surface acoustic wave (SAW) device analysis. This approach significantly reduces computational cost while maintaining accuracy for complex wave propagation studies.
Area of Science:
- Physics
- Electrical Engineering
- Materials Science
Background:
- The Green's function or boundary element method (BEM) is crucial for rigorous surface acoustic wave (SAW) device analysis.
- Its high computational cost limits its application, often necessitating simplified models like coupling of modes (COM) or P-matrix models.
Purpose of the Study:
- To derive rigorous representations of the Green's function in terms of continuous mode superposition.
- To develop accurate and computationally efficient approximations for SAW and leaky wave device analysis.
Main Methods:
- Derivation of Green's function representations in terms of continuous mode superposition.
- Analysis of Green's function properties across frequency and wavenumber.
- Generation of approximate forms by discretizing the continuous mode superposition.
- Representation of long-range spatial components using exponential terms.
Main Results:
- Rigorous Green's function representations were obtained in both slowness and spatial domains.
- Approximate Green's function forms were generated with controllable accuracy.
- The approximations are applicable to various wave types and substrates.
- Computational effort scales linearly with device size for the proposed approximations.
Conclusions:
- The derived Green's function approximations offer a balance between accuracy and computational efficiency for SAW device analysis.
- This method enables the analysis of general SAW and leaky wave devices with reduced computational burden.
- The approach facilitates more widespread use of rigorous methods in practical device design.
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