Christoffel-Darboux sources
A new, to the best of our knowledge, class of partially coherent sources is introduced on the basis of the Christoffel-Darboux (CD) formula read as the expression of a possible cross-spectral density. It will be seen that such an interpretation is possible because the CD formula gives the reproducing kernel of a suitable Hilbert space. After discussing general properties of CD kernels, a specific example is worked out using Hermite polynomials. A connection with the density matrix will be highlighted.
| Medienart: |
E-Artikel |
|---|
| Erscheinungsjahr: |
2021 |
|---|---|
| Erschienen: |
2021 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:46 |
|---|---|
| Enthalten in: |
Optics letters - 46(2021), 5 vom: 01. März, Seite 973-976 |
| Sprache: |
Englisch |
|---|
| Beteiligte Personen: |
Martínez-Herrero, Rosario [VerfasserIn] |
|---|
| Links: |
|---|
| Themen: |
|---|
| Anmerkungen: |
Date Revised 02.03.2021 published: Print Citation Status PubMed-not-MEDLINE |
|---|
| doi: |
10.1364/OL.417534 |
|---|
| funding: |
|
|---|---|
| Förderinstitution / Projekttitel: |
|
| PPN (Katalog-ID): |
NLM32207259X |
|---|
| LEADER | 01000naa a22002652 4500 | ||
|---|---|---|---|
| 001 | NLM32207259X | ||
| 003 | DE-627 | ||
| 005 | 20231225181244.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 231225s2021 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1364/OL.417534 |2 doi | |
| 028 | 5 | 2 | |a pubmed24n1073.xml |
| 035 | |a (DE-627)NLM32207259X | ||
| 035 | |a (NLM)33649634 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 100 | 1 | |a Martínez-Herrero, Rosario |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Christoffel-Darboux sources |
| 264 | 1 | |c 2021 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ƒaComputermedien |b c |2 rdamedia | ||
| 338 | |a ƒa Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Date Revised 02.03.2021 | ||
| 500 | |a published: Print | ||
| 500 | |a Citation Status PubMed-not-MEDLINE | ||
| 520 | |a A new, to the best of our knowledge, class of partially coherent sources is introduced on the basis of the Christoffel-Darboux (CD) formula read as the expression of a possible cross-spectral density. It will be seen that such an interpretation is possible because the CD formula gives the reproducing kernel of a suitable Hilbert space. After discussing general properties of CD kernels, a specific example is worked out using Hermite polynomials. A connection with the density matrix will be highlighted | ||
| 650 | 4 | |a Journal Article | |
| 700 | 1 | |a Gori, Franco |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Optics letters |d 1977 |g 46(2021), 5 vom: 01. März, Seite 973-976 |w (DE-627)NLM076842215 |x 1539-4794 |7 nnns |
| 773 | 1 | 8 | |g volume:46 |g year:2021 |g number:5 |g day:01 |g month:03 |g pages:973-976 |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1364/OL.417534 |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a GBV_NLM | ||
| 951 | |a AR | ||
| 952 | |d 46 |j 2021 |e 5 |b 01 |c 03 |h 973-976 | ||