Left-handed lens tomography and holography

Gaikovich, K. P.

doi:10.1080/17415977.2018.1552953

Cited by 5 publications

(7 citation statements)

References 54 publications

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“…The recently developed closed-form representation of the VL GF allows us to directly investigate this potential by studying the matrix operators associated with the discretization of the ISP and ISTP integral operators for the VL imaging scenario [30]. We will show that one of the reasons for the less-than-perfect quantitative imaging demonstrated in [33], [34], even with noiseless data, is the use of the non-ideal VL. In those works, loss was introduced into the VL to allow the spectral-domain representation of the VL GF to converge and not to simulate what might be achievable in practice, in terms of creating a VL.…”

Section: The Standard Methods Of Microwave Imagingmentioning

confidence: 97%

“…Some recent publications have dealt with quantitative MWI using an "almost" perfect lens containing some loss to allow the spectraldomain representation of the GF they used to converge (see, e.g., [33], [34]). The authors of [33] took advantage of the use of the spectral-domain representation of the GF in their iterative inversion technique that starts with a onedimensional reconstruction based on the Born approximation followed by a full 3D holographic inversion. Dealing with the cumbersome spectral-domain representation of the GF does not fully reveal the potential of using an ideal VL for quantitative MWI.…”

Section: The Standard Methods Of Microwave Imagingmentioning

confidence: 99%

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Demonstration of Quantitative Microwave Imaging Using an Ideal Veselago Lens

Keleshteri

Okhmatovski

Jeffrey

et al. 2022

IEEE Open J. Antennas Propag.

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Quantitative microwave imaging employing an ideal Veselago lens is demonstrated using synthetic 2D experiments. Reconstructions of the complex-valued dielectric constant of an arbitrary objectof-interest are obtained from noiseless data using a non-iterative technique. A closed-form Veselago lens Green's function is utilized in the formulation of the problem. The contrast sources corresponding to a single illumination of the object-of-interest is recovered using total-field measurements at several receiver points located in the lens' focusing region. Collecting the field in the presence of the ideal Veselago lens produces well-conditioned matrices for the discretized inverse source problem. The contrast is then directly obtained by first calculating the total-field within the object. Synthetic examples having features as small as λ/25 show that the resolution is only limited by the signal-to-noise ratio of data. Experiments with noisy data reveals that the inversion procedure directly mirrors the noise in the data. Two new filtering processes are introduced based on the truncated Singular Value Decomposition of the data operator and the domain operator involved in the inversion process. These successfully deal with noisy reconstructions. Results show that using the new filtering methods, even with a single illuminating source, outperforms the least-squares method with several illuminating sources.

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Section: The Standard Methods Of Microwave Imagingmentioning

confidence: 97%

Section: The Standard Methods Of Microwave Imagingmentioning

confidence: 99%

Demonstration of Quantitative Microwave Imaging Using an Ideal Veselago Lens

Keleshteri

Okhmatovski

Jeffrey

et al. 2022

IEEE Open J. Antennas Propag.

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“…None the less, for the past two decades the use of double negative materials has been investigated for a vast number of applications including super-resolution for nano-scale object imaging, [15]- [17], microwave imaging, [18]- [21], object cloaking and insulating, [22], manufacturing electronic sensors, [23], bio-medicine and biomedical imaging, [24], [25], as well as recent applications such as optical computing [26] and energy harvesting [27]. The concept has even been extended to that of heat conduction, [28].…”

Section: Introductionmentioning

confidence: 99%

“…Our interest lies in the use of a VL for microwave imaging (see, e.g., [18], [20], [21], [29]). The standard procedure would be to use a physical (even if only approximate) VL during the imaging process and then utilizing the focusing nature of the lens to obtain well-conditioned inversion matrices.…”

Section: Introductionmentioning

confidence: 99%

“…The standard procedure would be to use a physical (even if only approximate) VL during the imaging process and then utilizing the focusing nature of the lens to obtain well-conditioned inversion matrices. Even in the theoretical work reported in [20], [21], [29], a small amount of loss was introduced into the Green's function for the VL so as to allow the spectraldomain representations to converge and thereby construct suitable inverse-scattering matrices for the inverse problem. Therefore, there is a clear need for the simplified expressions derived herein which do not require that any loss be introduced.…”

Section: Introductionmentioning

confidence: 99%

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Analytic Sinusoidal Steady-State Electromagnetic Field Expressions for the Ideal Veselago Lens

Keleshteri

Okhmatovski

LoVetri

2021

IEEE Open J. Antennas Propag.

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Assessing the potential of using a virtual Veselago lens in quantitative microwave imaging

Eini Keleshteri,

Okhmatovski,

Jeffrey

et al. 2024

Inverse Problems

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This study explores the potential of implementing the focusing properties of a virtual ideal Veselago lens within a standard free-space microwave imaging scenario. To achieve this, the virtual lens is introduced as an inhomogeneous numerical background for the inverse source problem. This numerical Vesealgo lens is incorporated into the incident and scattered field decomposition, resulting in a new data equation that involves the Veselago Lens Green's function. In addition to the contrast sources within the object-of-interest, the lens introduces virtual contrast sources along the lens boundaries that depend on the total tangential magnetic field. It is shown that a surface integral contribution that takes into account these surface contrast sources must be added to the collected free-space data before one can invert using the well-conditioned Veselago lens inversion operator. A preliminary investigation of the accuracy to which this surface integral contribution must be computed is performed using additive Gaussian noise. Results show that an error of less than one percent is required to achieve imaging performance similar to utilizing an actual Veselago lens. All results are performed within a 2D simulation environment.

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Left-handed lens tomography and holography

Cited by 5 publications

References 54 publications

Demonstration of Quantitative Microwave Imaging Using an Ideal Veselago Lens

Demonstration of Quantitative Microwave Imaging Using an Ideal Veselago Lens

Analytic Sinusoidal Steady-State Electromagnetic Field Expressions for the Ideal Veselago Lens

Assessing the potential of using a virtual Veselago lens in quantitative microwave imaging

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