Scattering and admittance matrices of SAW transducers

Debnath, Narayan C.; Ajmera, R. C.; Hribsek, M.; Newcomb, R.W.

doi:10.1007/bf01599156

Cited by 4 publications

(5 citation statements)

References 3 publications

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“…The analysis of IDTs using equivalent electro‐mechanical circuit models is well known (Debnath et al , 1983; Golio, 2008; Smith et al , 1969). Since the sensor operates near the center frequency and the IDTs are uniform with equal length electrodes, the IDT driving‐point conductance (at the electrical port) can be calculated using the well‐known formula (Golio, 2008, p. I.6‐6): Equation 1 where k is the piezoelectric coupling coefficient, f 0 is the center frequency, C s is the capacitance per unit electrode length, W a is the electrode length (that is, the width of the wave front), N p is the number of electrode pairs.…”

Section: Principles Of Saw Sensor Operationmentioning

confidence: 99%

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Modelling and wave velocity calculation of multilayer structure SAW sensors

Tošić

Hribsek²

2011

Microelectronics International

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PurposeThe purpose of this paper is to model multilayer structure surface acoustic wave (SAW) sensors, incorporated in CMOS or micro‐electro‐mechanical system integrated circuits, and to derive the corresponding wave velocity as an analytic expression in terms of the layers‘ thickness and density, which is suitable for analysis and design.Design/methodology/approachThe method is based on an electro‐mechanical equivalent model of multilayer structure SAW sensors. A multilayered SAW device is represented by a two‐port electrical equivalent circuit consisting of three parts: input transducer, output transducer, and between them the delay line, which is the sensing part. The sensing part is modelled as a mechanical two‐port network. The wave velocity is calculated using analogy between the mechanical and electrical quantities and the fact that the wave motion of the SAW extends below the surface to a depth of about one wavelength.FindingsThe presented model predicts very efficiently and accurately the velocity of SAW sensors with multilayer substrates in the case where the thicknesses of upper layers are much smaller than the signal wavelength. The velocity can be calculated from the formula, so that elaborate numerical computations involving partial differential equations are avoided.Research limitations/implicationsThe model and the velocity calculation can be applied only to acoustically thin upper and middle layers where acoustically thin means that a layer is sufficiently thin and rigid (large shear modulus). The presented results provide a starting‐point for further research in the analysis and design of sensors fabricated using AlGaN, GaN, AlN/diamond.Practical implicationsSince the majority of SAW sensors is designed with acoustically thin layers, the proposed model and calculation can be of interest for many practical material combinations. The presented model and calculation can be used in most cases of the optimal sensor design with respect to the sensor sensitivity or required area on the sensor chip.Originality/valueThe paper presents a new original model of multilayer structure SAW sensors and a new method of SAW velocity calculation. The method gives good results, with much simpler calculations than in the wave equation method, in cases where certain layers are acoustically thin.

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Section: Principles Of Saw Sensor Operationmentioning

confidence: 99%

“…The number of electrodes determines the frequency bandwidth of the device. Since the sensors operate close to the center frequency, their equivalent circuit is also much simpler and well known (Debnath et al , 1983; Smith et al , 1969).…”

Section: Introductionmentioning

confidence: 99%

Modelling and wave velocity calculation of multilayer structure SAW sensors

Tošić

Hribsek²

2011

Microelectronics International

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“…In order to find the interconnected network three-port descriptions, we convert to a hybrid reverse chaln matrlx, @R, type of descritlon. (3.14) The use of the Equations (3.14), (3.27) The standard network analysis [9] leads to the admittance matrix description of the hybrid model. (6.14) and M is given by the Equation (6.8).…”

Section: F2mentioning

confidence: 99%

“…Unfortunately, though, there is still not available a good circuit theory of SAW devices. Recently [7,8,9] Further, it has been found that such a three-port SAW transducer section can be represented by the Mason equivalent circuit [3]. The equivalent circuit of the entire transducer is then found by cascading the mechanical ports of the circuits of individual sections, and gives the relationship between input signals at the threeports (one electric and two acoustic).…”

Section: Introductionmentioning

confidence: 99%

Transfer scattering matrix of non‐uniform surface acoustic wave transducers

Debnath

Roy

1987

International Journal of Mathematics and Mathematical Sciences

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“…In these methods the accuracy depends on the complexity of the model. The closed form solutions for transfer functions and input admittances mostly only for simple models are given (Matthews, 1977, Morgan, 1985, Smith 1, 1969, Smith 2, 1969, Debnath, 1983. In this new algorithm SAW biosensor is modelled as three port network.…”

Section: Introductionmentioning

confidence: 99%

Modelling of Saw Biosensors

Hribsek¹,

Ristić²,

Zivkovic³

et al. 2009

Proceedings of the International Conference on Biomedical Electronics and Devices

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New approach in surface acoustic wave (SAW) biosensor's modelling is presented. Biosensor is modelled as a three port network. The model is general and can be used also in the case of transponder type of sensor. The closed form solutions for transfer function and input admittance at the electrical port of SAW devices with uniform transducers based on complex equivalent circuit are presented. Transfer function and input admittance in two different cases are calculated and compared with the experimental results showing very close agreement.

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Scattering and admittance matrices of SAW transducers

Cited by 4 publications

References 3 publications

Modelling and wave velocity calculation of multilayer structure SAW sensors

Modelling and wave velocity calculation of multilayer structure SAW sensors

Transfer scattering matrix of non‐uniform surface acoustic wave transducers

Modelling of Saw Biosensors

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