---
title: "Plane of Induced Dipoles in Self-Consistent Approach as a Unit of X-ray Scattering • CBPF Index"
description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF."
canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb611"
locale: es
meta:
  "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Plane%2Bof%2BInduced%2BDipoles%2Bin%2BSelf-Consistent%2BApproach%2Bas%2Ba%2BUnit%2Bof%2BX-ray%2BScattering%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_W.A.%2BKeller%2Cdetalhe_1993%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI2MTEi%2Cs_3zDhTbv_NLPTEQfv.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "Plane of Induced Dipoles in Self-Consistent Approach as a Unit of X-ray Scattering • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Plane%2Bof%2BInduced%2BDipoles%2Bin%2BSelf-Consistent%2BApproach%2Bas%2Ba%2BUnit%2Bof%2BX-ray%2BScattering%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_W.A.%2BKeller%2Cdetalhe_1993%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI2MTEi%2Cs_3zDhTbv_NLPTEQfv.png"
---

> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Nota de Física****Publicado**

# **Plane of Induced Dipoles in Self-Consistent Approach as a Unit of X-ray Scattering**

**W.A. Keller**

1993

[**Descargar PDF **0,7 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb611/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Plane%20of%20Induced%20Dipoles%20in%20Self-Consistent%20Approach%20as%20a%20Unit%20of%20X-ray%20Scattering)

## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>W.A. Keller</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Estado</dt>
<dd>Publicado</dd>

<dt>Fecha de publicación</dt>
<dd>1993</dd>

<dt>Descripción</dt>
<dd>Scattering of the two harmonic EM plane waves by a plane of induced dipoles has been rigorously treated by means of the Hertz vector. It is shown that single plane solution may be used as a unit of X-ray scattering in the two-beam symmetrical Bragg case. This solution, given by a complex unimodular scattering matrix completely defines an interaction mode of the EM field with the single plane of dipoles for both states of polarization. The complex transmission coefficients derived determine step-like changes of phase and amplitude of both waves. In two particular vibrational states, when the two incident waves arrive at the dipole plane with the same or opposite phase, the actual phase shifts display a behavior predicted by the dynamic theory. However, as the relationship between two states is obtained in an exclusively analytical way, the customary geometrical arguments became redundant. It is shown that only a self-consistent solution, which includes cooperatives effects among scatterers, is able to conserve energy.</dd>

<dt>Año</dt>
<dd>1993</dd>

<dt>Número</dt>
<dd>CBPF-NF-027/93</dd>

<dt>Vínculo con tesis</dt>
<dd>No</dd>

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/es#website","@type":"WebSite","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","inLanguage":"es-ES","name":"CBPF Index","url":"https://index.cbpf.br/es","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb611#webpage","@type":"WebPage","description":"CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF.","name":"Plane of Induced Dipoles in Self-Consistent Approach as a Unit of X-ray Scattering","url":"https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb611","isPartOf":{"@id":"https://index.cbpf.br/es#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb611"]}],"primaryImageOfPage":{"@id":"https://index.cbpf.br/#logo"}},{"@id":"https://index.cbpf.br/#identity","@type":"Organization","alternateName":"CBPF","description":"Unidade de pesquisa do Ministério da Ciência, Tecnologia e Inovação dedicada à pesquisa básica em Física, suas aplicações e à formação científica.","email":"web@cbpf.br","legalName":"Centro Brasileiro de Pesquisas Físicas/CBPF","name":"Centro Brasileiro de Pesquisas Físicas","taxID":"04.044.443/0001-35","telephone":"+55-21-2141-7100","url":"https://cbpf.br","address":{"@type":"PostalAddress","streetAddress":"Rua Dr. Xavier Sigaud, 150","addressLocality":"Rio de Janeiro","addressRegion":"RJ","postalCode":"22290-180","addressCountry":"BR"},"logo":{"@id":"https://index.cbpf.br/#logo"},"sameAs":["https://twitter.com/cbpf_mcti"]},{"@id":"https://index.cbpf.br/#logo","@type":"ImageObject","caption":"Centro Brasileiro de Pesquisas Físicas","contentUrl":"https://index.cbpf.br/icon-512x512-light.png","inLanguage":"es-ES","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

See the full [sitemap](https://index.cbpf.br/sitemap.md) for all pages.