Active manipulation of Helmholtz scalar fields in an ocean of two homogeneous layers of constant depth. Issue 13 (23rd December 2021)

• Record Type: Journal Article
• Authors: Egarguin, Neil Jerome A.; Onofrei, Daniel; Qi, Chaoxian; Chen, Jiefu
• Is Part Of: Inverse problems in science and engineering. Volume 29:Issue 13(2021)
• Page Start: 2491
• Page End: 2515
• Publication Date: 2021-12-23
• Subjects: Acoustic active control -- scalar Helmholtz fields -- layered ocean acoustics -- Tikhonov regularization -- local basis functions; 35Q93 -- 76Q05 -- 45Q05 -- 65R32 -- 78A46; Engineering mathematics -- Periodicals; Inverse problems (Differential equations) -- Periodicals; 620.001515357
• DOI: 10.1080/17415977.2021.1918688
• Languages: English
• ISSNs: 1741-5977

Abstract

Abstract : In this work, we prove the possibility of actively controlling the acoustic field in an ocean consisting of two homogeneous layers of constant depth using a surface source embedded in one of the layers. For a class of prescribed fields on some bounded control regions in either layer, we show the existence of a boundary input on the source, either acoustic pressure or normal velocity so that the propagated field approximates the prescribed fields. Also, we provide a constructive scheme to find the required boundary input using a Morozov discrepancy principle-based Tikhonov regularization scheme. Several numerical simulations are also provided to support our analyses.