# Fast Three-dimensional Opto-acoustic Simulation for Linear Array with Rectangular Elements

## TL;DR

This paper presents a fast, efficient 3D opto-acoustic simulation method for linear array transducers with rectangular elements, enabling rapid and accurate modeling for medical imaging applications.

## Contribution

A separable computational model for 3D opto-acoustic simulation is developed, achieving an order-of-magnitude speed-up over traditional non-separable models.

## Key findings

- Simulation speed is improved by a factor of n for an n^3 voxel volume.
- The method accurately models signals from arbitrary probe trajectories.
- Application potential in real-time medical imaging and disease assessment.

## Abstract

Simulation involves predicting responses of a physical system. In this article, we simulate opto-acoustic signals generated in a three-dimensional volume due to absorption of an optical pulse. A separable computational model is developed that permits an order-of-magnitude improvement in computational efficiency over a non-separable model. The simulated signals represent acoustic waves, measured by a probe with a linear transducer array, in a rotated and translated coordinate frame. Light is delivered by an optical source that moves with the probe's frame. A spatio-temporal impulse response for rectangular element transducer geometry is derived using a Green's function solution to the acoustic wave equation. The approach permits fast and accurate simulation for a probe with arbitrary trajectory. For a 3D volume of $n^3$ voxels, computation is accelerated by a factor of $n$. This may potentially have application for opto-acoustic imaging, where clinicians visualize structural and functional features of biological tissue for assessment of cancer and other diseases.