Multipoint formulas for scattered far field in multidimensions. (31st August 2020)
- Record Type:
- Journal Article
- Title:
- Multipoint formulas for scattered far field in multidimensions. (31st August 2020)
- Main Title:
- Multipoint formulas for scattered far field in multidimensions
- Authors:
- Novikov, R G
- Abstract:
- Abstract: We give asymptotic formulas for finding the scattering amplitude at fixed frequency and angles (scattered far field) from the scattering wave function given at n points in dimension d ⩾ 2. These formulas are explicit and their precision is proportional to n . To our knowledge these formulas are new for n ⩾ 2; whereas they reduce to a classical result for n = 1.
- Is Part Of:
- Inverse problems. Volume 36:Number 9(2020)
- Journal:
- Inverse problems
- Issue:
- Volume 36:Number 9(2020)
- Issue Display:
- Volume 36, Issue 9 (2020)
- Year:
- 2020
- Volume:
- 36
- Issue:
- 9
- Issue Sort Value:
- 2020-0036-0009-0000
- Page Start:
- Page End:
- Publication Date:
- 2020-08-31
- Subjects:
- Helmholtz equation -- Schrödinger equation -- scattered near field -- scattered far field -- Vandermonde matrix -- inverse scattering problems
35P25 -- 35R30
Inverse problems (Differential equations) -- Periodicals
515.357 - Journal URLs:
- http://iopscience.iop.org/0266-5611 ↗
http://ioppublishing.org/ ↗ - DOI:
- 10.1088/1361-6420/aba891 ↗
- Languages:
- English
- ISSNs:
- 0266-5611
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 14040.xml