A Different Approach to Archimedean Spiral Equation in the Development of a High Frequency Array

The general spiral equation is an excellent tool in array development. However, some modifications can improve the array response for a certain range of frequencies. This work describes a different approach to the spiral equation aiming the project of a high frequency array (20 k - 35 k Hz). By constraining some of the array and measurements parameters, a geometry is proposed intending to maximize the dynamic range response at a focal point. The steps of this approach are discussed showing the results of the simulations for different parameters of this equation. Some of these parameters were fixed and for some others a parameter sweep was performed. The final geometry is intended to work with ultrasound applications, such as measurements of scale models, and also with the acoustic frequency range.