A Fast Method to Calculate the Spatial Impulse Response for 1-D Linear Ultrasonic Phased Array Transducers

Area of Science:

• Acoustics and Ultrasonics
• Signal Processing
• Computational Physics

Background:

• Traditional methods for calculating spatial impulse response in ultrasonic phased arrays are computationally intensive.
• Existing solutions often require approximations or nonlinear calculations, limiting efficiency for linear arrays.

Purpose of the Study:

• To develop an efficient algorithm for accurately determining the spatial impulse response in the radiated field of 1-D linear ultrasonic phased array transducers.
• To expedite the calculation of spatial impulse response for rectangular linear arrays.

Main Methods:

• Developed an algorithm based on the assumption of identical, linearly distributed transducer apertures on an infinite rigid plane with uniform pitch.
• Utilized the property that observation points with similar relative positions to transducer apertures share the same spatial impulse response.
• Discretized the observation field to exploit this equality and derived analytical expressions to eliminate redundant calculations.

Main Results:

• The proposed method significantly speeds up the calculation of spatial impulse response compared to classical summation methods.
• The observed speed-up ratio is dependent on the number of discrete points and array transducers.
• Simulation results confirm the accuracy and efficiency of the developed methodology.

Conclusions:

• The novel algorithm provides a more efficient and accurate way to compute spatial impulse response for linear ultrasonic phased arrays.
• This advancement is crucial for the development of faster and more sophisticated ultrasonic systems.