Near-field imaging with far-field data

Gang Bao; Peijun Li; Yuliang Wang

doi:10.1016/j.aml.2016.03.023

Near-field imaging with far-field data

Gang Bao
, Peijun Li^*
, Yuliang Wang

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

12 Citations (Scopus)

Abstract

Using the inverse diffractive grating problem as an example, we demonstrate how a super-resolution can be achieved stably by using far-field data. The idea is to place a slab of a homogeneous medium with a large index of refraction above the grating surface, and more propagating wave modes can be utilized from the far-field data which contributes to the reconstruction resolution.

Original language	English
Pages (from-to)	36-42
Number of pages	7
Journal	Applied Mathematics Letters
Volume	60
DOIs	https://doi.org/10.1016/j.aml.2016.03.023
Publication status	Published - 1 Oct 2016

User-Defined Keywords

Diffractive grating
Inverse scattering
Super-resolution

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10.1016/j.aml.2016.03.023

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title = "Near-field imaging with far-field data",

abstract = "Using the inverse diffractive grating problem as an example, we demonstrate how a super-resolution can be achieved stably by using far-field data. The idea is to place a slab of a homogeneous medium with a large index of refraction above the grating surface, and more propagating wave modes can be utilized from the far-field data which contributes to the reconstruction resolution.",

keywords = "Diffractive grating, Inverse scattering, Super-resolution",

author = "Gang Bao and Peijun Li and Yuliang Wang",

note = "Funding Information: The research of GB was supported in part by Key Project of the Major Research Plan of National Science Foundation China (NSFC) (No. 91130004); NSFC A3 Project (No. 11421110002); NSFC Tianyuan Project (No. 11426235). The research of PL was supported in part by National Science Foundation DMS-1151308 .",

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T1 - Near-field imaging with far-field data

AU - Bao, Gang

AU - Li, Peijun

AU - Wang, Yuliang

N1 - Funding Information: The research of GB was supported in part by Key Project of the Major Research Plan of National Science Foundation China (NSFC) (No. 91130004); NSFC A3 Project (No. 11421110002); NSFC Tianyuan Project (No. 11426235). The research of PL was supported in part by National Science Foundation DMS-1151308 .

PY - 2016/10/1

Y1 - 2016/10/1

N2 - Using the inverse diffractive grating problem as an example, we demonstrate how a super-resolution can be achieved stably by using far-field data. The idea is to place a slab of a homogeneous medium with a large index of refraction above the grating surface, and more propagating wave modes can be utilized from the far-field data which contributes to the reconstruction resolution.

AB - Using the inverse diffractive grating problem as an example, we demonstrate how a super-resolution can be achieved stably by using far-field data. The idea is to place a slab of a homogeneous medium with a large index of refraction above the grating surface, and more propagating wave modes can be utilized from the far-field data which contributes to the reconstruction resolution.

KW - Diffractive grating

KW - Inverse scattering

KW - Super-resolution

UR - https://www.scopus.com/pages/publications/84964691784

U2 - 10.1016/j.aml.2016.03.023

DO - 10.1016/j.aml.2016.03.023

M3 - Journal article

AN - SCOPUS:84964691784

SN - 0893-9659

VL - 60

SP - 36

EP - 42

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Near-field imaging with far-field data

Abstract

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