Transverse electromagnetic field and spinors

Hillion, Pïerre; Quinnez, S.

doi:10.1088/0150-536x/18/2/001

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2013

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The formulas obtained here can be used to derive more precise calculations based on the Dirac equation for a variety of fermion wave optics experiments, only by relaxing some approximations assumed here for clarity. The derivations in this work are based on Hillion's work on the spinor description of polarized light [10][11][12][13], which at its core, uses a 2-component massless Dirac equation. Below, a short derivation of the scalar diffraction theory is given containing the essential elements required to generalize it for the Dirac case.…”

Section: Introductionmentioning

confidence: 99%

Dirac Kirchhoff diffraction theory

Boxem¹,

Partoens²,

Verbeeck³

2013

Preprint

View full text Add to dashboard Cite

Kirchhoff's scalar diffraction theory is applied throughout photon and electron optics. It is based on the stationary electromagnetic or Schrödinger wave equation, and is useful in describing interference phenomena for both light and matter waves. Here, Kirchhoff's diffraction theory is derived from the relativistic Dirac equation, thus reformulated to work on Dirac spinors. The parallels with the "classic" scalar theory are highlighted, and a basic interpretation of the result obtained for the Fraunhofer diffraction limit is given. The goal of this paper is to emphasize the similarity between the two equations on the most fundamental level.

show abstract

Section: Introductionmentioning

confidence: 99%