Spatial Domain Indirect Holography for a Full Phaseless Approach to Biomedical Microwave Imaging

Costanzo, Sandra; Lopez, Giuseppe; Massa, G. Di

doi:10.1109/ojap.2022.3176399

Cited by 7 publications

(3 citation statements)

References 38 publications

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“…Our area of interest are magnitude-only near-field (NF) antenna measurements [9]- [24] and imaging [25], [26], but insights should be transferable to other areas, too. Since the properties of the forward operator are not as favorable as for Gaussian random matrices, which are often employed in mathematical studies of phase retrieval algorithms [27], [28], numerous problems occur in the solution process.…”

Section: Introductionmentioning

confidence: 99%

Multi-Probe Array Design for Partially-Coherent Phase Retrieval in Near-Field Measurements

Kornprobst¹,

Paulus²,

Knapp³

et al. 2022

Preprint

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<p>Phase retrieval, in particular for the operators arising from near-field measurements, is a non-convex task suffering from a severe lack of reliability due to local minima and false solutions. Approaches to tackle this issue, in turn, suffer from strict and often unrealistic oversampling requirements and possibly unfeasible computational complexities—in particular when larger scenarios are considered. In this paper, we analyze the sampling requirements for convex phase retrieval based on partially coherent observations which are captured with multi-probe arrays. We discuss requirements for the orientation and positioning of the probe antennas in the probe arrays. Following these conditions, a recently introduced linearized method is able to reconstruct a unique global solution reliably. The theoretical deliberations are corroborated with simulated near-field data.</p>

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Section: Introductionmentioning

confidence: 99%

Multi-Probe Array Design for Partially-Coherent Phase Retrieval in Near-Field Measurements

Kornprobst¹,

Paulus²,

Knapp³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Inverse electromagnetic (EM) scattering problems have been broadly investigated among researchers and have found many appearances in applied sciences with mainly focusing on biomedical imaging, through-the-wall imaging, moving target detection, concealed weapon detection, subsurface imaging and food imaging for quality analysis [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15].…”

Section: Introductionmentioning

confidence: 99%

Continuous Monitoring of Hyperthermia Treatment of Breast Tumors With Singular Sources Method

et al. 2023

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Qualitative microwave imaging methods provide a fast and accurate reconstruction of the shapes of the targets from scattered electric field measurements. In this paper, a qualitative imaging method, the singular sources method (SSM), is analyzed for two-dimensional transverse magnetic electromagnetic (2D-TM EM) inverse scattering scenarios. The contribution of the paper can be briefly summarized as: (i) The SSM was previously proposed for the far-field scenario, here we extend the SSM in the near field -inhomogeneous background setup. While making the extension each step (which includes an integral equation) is explained by exploiting the linearity and reciprocity principles to give physical insights. (ii) The relation between the electrical parameters of the scatterers and the indicator of SSM is derived. (iii) To analyze the performance of SSM in real-world problems, the proposed method is tested for monitoring hyperthermia treatment problems with a realistic breast model. Obtained results show that the SSM can handle realistic breast phantoms for monitoring hyperthermia problems.INDEX TERMS Hyperthermia treatment, inverse scattering, microwave imaging, singular sources method, temperature monitoring.

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Section: Introductionmentioning

confidence: 99%

Multi-Probe Array Design for Partially-Coherent Phase Retrieval in Near-Field Measurements

Kornprobst

Paulus

Knapp

et al. 2023

2023 17th European Conference on Antennas and Propagation (EuCAP)

View full text Add to dashboard Cite

Phase retrieval, in particular for the operators arising from near-field measurements, is a non-convex task suffering from a severe lack of reliability due to local minima and false solutions. Approaches to tackle this issue, in turn, suffer from strict and often unrealistic oversampling requirements and possibly unfeasible computational complexities-in particular when larger scenarios are considered. In this paper, we analyze the sampling requirements for convex phase retrieval based on partially coherent observations which are captured with multiprobe arrays. We discuss requirements for the orientation and positioning of the probe antennas in the probe arrays. Following these conditions, a recently introduced linearized method is able to reconstruct a unique global solution reliably. The theoretical deliberations are corroborated with simulated near-field data.

show abstract

Spatial Domain Indirect Holography for a Full Phaseless Approach to Biomedical Microwave Imaging

Cited by 7 publications

References 38 publications

Multi-Probe Array Design for Partially-Coherent Phase Retrieval in Near-Field Measurements

Multi-Probe Array Design for Partially-Coherent Phase Retrieval in Near-Field Measurements

Continuous Monitoring of Hyperthermia Treatment of Breast Tumors With Singular Sources Method

Multi-Probe Array Design for Partially-Coherent Phase Retrieval in Near-Field Measurements

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