Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Phase Optimization for Multipoint Haptic Feedback Based on Ultrasound Array

Version 1 : Received: 25 December 2021 / Approved: 27 December 2021 / Online: 27 December 2021 (14:54:16 CET)

How to cite: Long, Z.; Ye, S.; Peng, Z.; Yuan, Y.; Li, Z. Phase Optimization for Multipoint Haptic Feedback Based on Ultrasound Array. Preprints 2021, 2021120434 (doi: 10.20944/preprints202112.0434.v1). Long, Z.; Ye, S.; Peng, Z.; Yuan, Y.; Li, Z. Phase Optimization for Multipoint Haptic Feedback Based on Ultrasound Array. Preprints 2021, 2021120434 (doi: 10.20944/preprints202112.0434.v1).

Abstract

Ultrasound based haptic feedback is a potential technology for human-computer interaction (HCI) with the advantages of low cost, low power consumption and controlled force. In this paper, the phase optimization for multipoint haptic feedback based on ultrasound array is investigated and the corresponding experimental verification is provided. A mathematical model of acoustic pressure is established for the ultrasound array and then a phase optimization model for an ultrasound transducer is constructed. We propose a pseudo-inverse (PINV) algorithm to accurately determine the phase contribution of each transducer in the ultrasound array. By controlling the phase difference of the ultrasound array, the multipoint focusing forces are formed leading to various shapes such as geometries and letters that can be visualized. Because the unconstrained PINV solution results in unequal amplitudes for each transducer, a weighted amplitude iterative optimization is deployed to further optimize the phase solution, by which the uniform amplitude distributions of each transducer are obtained. For the purpose of experimental verifications, a platform of ultrasound haptic feedback consisting of a Field Programmable Gate Array (FPGA), an electrical circuit and an ultrasound transducer array is prototyped. The haptic performances of single point, multiple points and dynamic trajectory were verified by controlling the ultrasound force exerted on the liquid surface. The experimental results demonstrate that the proposed phase optimization model and theoretical results are effective and feasible, and the acoustic pressure distribution is consistent with the simulation results.

Keywords

Haptic feedback, Phase optimization, Pseudo-inverse algorithm, Ultrasound array.

Subject

PHYSICAL SCIENCES, Applied Physics

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