Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information
Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatial...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Klibanov, Michael V. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
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| Schlagwörter: |
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| Umfang: |
14 |
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| Übergeordnetes Werk: |
Enthalten in: Impact of rogue active regions on hemispheric asymmetry - Nagy, Melinda ELSEVIER, 2018, transactions of IMACS, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:110 ; year:2016 ; pages:190-203 ; extent:14 |
| Links: |
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| DOI / URN: |
10.1016/j.apnum.2016.08.014 |
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ELV019170203 |
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| 520 | |a Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . | ||
| 520 | |a Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . | ||
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| 700 | 1 | |a Pan, Kejia |4 oth | |
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10.1016/j.apnum.2016.08.014 doi GBVA2016006000030.pica (DE-627)ELV019170203 (ELSEVIER)S0168-9274(16)30164-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 520 620 VZ 39.00 bkl 50.93 bkl Klibanov, Michael V. verfasserin aut Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information 2016transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . Imaging of nanostructures and biological cells Elsevier Rigorous numerical methods Elsevier Phaseless inverse scattering problem Elsevier Nguyen, Loc H. oth Pan, Kejia oth Enthalten in Elsevier Nagy, Melinda ELSEVIER Impact of rogue active regions on hemispheric asymmetry 2018 transactions of IMACS Amsterdam [u.a.] (DE-627)ELV001550608 volume:110 year:2016 pages:190-203 extent:14 https://doi.org/10.1016/j.apnum.2016.08.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-AST 39.00 Astronomie: Allgemeines VZ 50.93 Weltraumforschung VZ AR 110 2016 190-203 14 045F 510 |
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10.1016/j.apnum.2016.08.014 doi GBVA2016006000030.pica (DE-627)ELV019170203 (ELSEVIER)S0168-9274(16)30164-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 520 620 VZ 39.00 bkl 50.93 bkl Klibanov, Michael V. verfasserin aut Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information 2016transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . Imaging of nanostructures and biological cells Elsevier Rigorous numerical methods Elsevier Phaseless inverse scattering problem Elsevier Nguyen, Loc H. oth Pan, Kejia oth Enthalten in Elsevier Nagy, Melinda ELSEVIER Impact of rogue active regions on hemispheric asymmetry 2018 transactions of IMACS Amsterdam [u.a.] (DE-627)ELV001550608 volume:110 year:2016 pages:190-203 extent:14 https://doi.org/10.1016/j.apnum.2016.08.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-AST 39.00 Astronomie: Allgemeines VZ 50.93 Weltraumforschung VZ AR 110 2016 190-203 14 045F 510 |
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10.1016/j.apnum.2016.08.014 doi GBVA2016006000030.pica (DE-627)ELV019170203 (ELSEVIER)S0168-9274(16)30164-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 520 620 VZ 39.00 bkl 50.93 bkl Klibanov, Michael V. verfasserin aut Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information 2016transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . Imaging of nanostructures and biological cells Elsevier Rigorous numerical methods Elsevier Phaseless inverse scattering problem Elsevier Nguyen, Loc H. oth Pan, Kejia oth Enthalten in Elsevier Nagy, Melinda ELSEVIER Impact of rogue active regions on hemispheric asymmetry 2018 transactions of IMACS Amsterdam [u.a.] (DE-627)ELV001550608 volume:110 year:2016 pages:190-203 extent:14 https://doi.org/10.1016/j.apnum.2016.08.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-AST 39.00 Astronomie: Allgemeines VZ 50.93 Weltraumforschung VZ AR 110 2016 190-203 14 045F 510 |
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10.1016/j.apnum.2016.08.014 doi GBVA2016006000030.pica (DE-627)ELV019170203 (ELSEVIER)S0168-9274(16)30164-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 520 620 VZ 39.00 bkl 50.93 bkl Klibanov, Michael V. verfasserin aut Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information 2016transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . Imaging of nanostructures and biological cells Elsevier Rigorous numerical methods Elsevier Phaseless inverse scattering problem Elsevier Nguyen, Loc H. oth Pan, Kejia oth Enthalten in Elsevier Nagy, Melinda ELSEVIER Impact of rogue active regions on hemispheric asymmetry 2018 transactions of IMACS Amsterdam [u.a.] (DE-627)ELV001550608 volume:110 year:2016 pages:190-203 extent:14 https://doi.org/10.1016/j.apnum.2016.08.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-AST 39.00 Astronomie: Allgemeines VZ 50.93 Weltraumforschung VZ AR 110 2016 190-203 14 045F 510 |
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10.1016/j.apnum.2016.08.014 doi GBVA2016006000030.pica (DE-627)ELV019170203 (ELSEVIER)S0168-9274(16)30164-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 520 620 VZ 39.00 bkl 50.93 bkl Klibanov, Michael V. verfasserin aut Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information 2016transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . Imaging of nanostructures and biological cells Elsevier Rigorous numerical methods Elsevier Phaseless inverse scattering problem Elsevier Nguyen, Loc H. oth Pan, Kejia oth Enthalten in Elsevier Nagy, Melinda ELSEVIER Impact of rogue active regions on hemispheric asymmetry 2018 transactions of IMACS Amsterdam [u.a.] (DE-627)ELV001550608 volume:110 year:2016 pages:190-203 extent:14 https://doi.org/10.1016/j.apnum.2016.08.014 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-AST 39.00 Astronomie: Allgemeines VZ 50.93 Weltraumforschung VZ AR 110 2016 190-203 14 045F 510 |
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Enthalten in Impact of rogue active regions on hemispheric asymmetry Amsterdam [u.a.] volume:110 year:2016 pages:190-203 extent:14 |
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ddc 510 ddc 520 bkl 39.00 bkl 50.93 Elsevier Imaging of nanostructures and biological cells Elsevier Rigorous numerical methods Elsevier Phaseless inverse scattering problem |
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Impact of rogue active regions on hemispheric asymmetry |
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Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information |
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Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information |
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Klibanov, Michael V. |
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Impact of rogue active regions on hemispheric asymmetry |
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10.1016/j.apnum.2016.08.014 |
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nanostructures imaging via numerical solution of a 3-d inverse scattering problem without the phase information |
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Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information |
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Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . |
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Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . |
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Inverse scattering problems without the phase information arise in imaging of nanostructures, whose sizes are hundreds of nanometers, as well as in imaging of biological cells. The governing equation is the 3-D generalized Helmholtz equation with the unknown coefficient, which represents the spatially distributed dielectric constant. It is assumed in the classical inverse scattering problem that both the modulus and the phase of the complex valued scattered wave field are measured outside of a scatterer. Unlike this, it is assumed here that only the modulus of the complex valued scattered wave field is measured on a certain interval of frequencies. The phase is not measured. In this paper a substantially modified reconstruction procedure of is developed and numerically implemented. Ranges of parameters, which are realistic for imaging of nanostructures, are used in numerical examples. Note that numerical studies were not carried out in . |
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Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information |
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https://doi.org/10.1016/j.apnum.2016.08.014 |
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Nguyen, Loc H. Pan, Kejia |
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