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On the angular-spectrum representation of multipole wave fields.

Riccardo Borghi1

  • 1Dipartimento di Elettronica Applicata, Università Roma Tre, Via della Vasca Navale, 84 I-00146 Rome, Italy. borghi@uniroma3.it

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|September 24, 2004
PubMed
Summary

This study provides a closed-form expression for multipole fields, aiding in understanding wave interactions with surfaces. The findings offer insights into the polarization structure of these fields.

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Area of Science:

  • Physics
  • Electromagnetism
  • Wave Optics

Background:

  • Multipole fields are fundamental in describing wave phenomena.
  • Understanding their behavior across planes is crucial for various applications.

Purpose of the Study:

  • To derive a closed-form expression for the angular spectrum of scalar and vectorial multipole fields.
  • To analyze the polarization structure of vectorial multipole fields.

Main Methods:

  • Utilizing the Weyl representation of multipole fields.
  • Applying transformation rules to derive the angular spectrum.
  • Analyzing the transverse angular spectrum for polarization insights.

Main Results:

  • A closed-form expression for the angular spectrum of multipole fields (scalar and vectorial) is provided.

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  • The transverse angular spectrum reveals polarization characteristics of vectorial fields.

    • Conclusions:

    • The derived expression simplifies the analysis of multipole fields.
    • The findings are applicable to problems involving wave interactions with planar surfaces.