Vector solving method for magnetoacoustic coupling direct problem under sinusoidal excitation

Abstract

The invention discloses a vector solving method for a magnetoacoustic coupling direct problem under sinusoidal excitation. The vector solving method comprises a first step: space calculation solving, and a second step: frequency-domain amplitude phase solving, which comprises the following steps: performing space finite element-based solving, calculating the real part and the imaginary part of the complex plane of each subdivision unit, and calculating the real part and the imaginary part of a resultant vector; calculating the amplitude and the phase of a magnetoacoustic signal to realize solving on the magnetoacoustic coupling direct problem. According to the vector solving method for the magnetoacoustic coupling direct problem under the sinusoidal excitation, disclosed by the invention, excitation can be more easily realized, and validation of a theoretical method is easy; meanwhile, as calculation is performed by adopting a vector method, the calculation process of the vector solving method is simpler than that of the traditional calculation method in step, and moreover, error accumulation cannot be generated.

Description

technical field [0001] The invention relates to a vector solving method. In particular, it relates to a vector solution method for the magnetoacoustic coupling forward problem under sinusoidal excitation. Background technique [0002] The electrical properties of biological tissue reflect the physiological and pathological state of the tissue, especially for the early pathological changes of the tissue. Studies have shown that the diseased tissue has different electrical conductivity from the normal tissue, and the electrical conductivity of the tissue in different diseased states is different. Therefore, the detection and imaging of the electrical properties of biological tissues is beneficial to the early diagnosis of related diseases. [0003] Magneto-acoustic coupling imaging is a new type of imaging method for the electrical properties of biological tissue. It converts the electrical parameter information of the tissue into an acoustic signal by applying electromagneti...

AI Technical Summary

Problems solved by technology

The calculation of this method involves signal convolution, operation and Fourier transform, the process is complex, and error accumulation is easy to occur in multi-step calculations

[0005] In the study of magnetoacoustic imaging forward problems, the commonly used mathematical solution method of magnetoacoustic coupling forward problems based on the impulse function δ(t) is difficult to realize the pulse signal of infinitely narrow width in practice, which affects the verification of theoretical simulation

At the same time, the calculation of the forward problem involves signal superposition convolution, Fourier transform and other calculations. The calculation process is complicated and error accumulation is easy to occur.

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