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Calculating the Radiation Pattern of a Fresnel-Zone Plate Antenna∷ A Comparison Between UTD/GTD and PO

L. C. J. Baggen, M.H.A.J. Herben

Open publisher page 11 citations

Abstract

A vectorial far-field, analysis of the Fresnel-zone plate antenna (FZPA) is presented using two different calculation methods. The first method, Physical Optics, is based on Kirchhoff's diffraction theory and holds for apertures which are large in terms of the wavelength. Because this is not the case for the width of all the radiating rings of the FZPA, a second method is used which accounts for the influence of the edges of the rings on the incident field. This method is based on a combination of the Geometrical Theory of Diffraction and the Uniform Theory of Diffraction. Expressions which describe the radiation patterns are derived using both methods, and the differences and similarities between them are examined. The results of this analysis give good insight into the influence of the FZPA geometry on its radiation properties.

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What this paper is about

A vectorial far-field, analysis of the Fresnel-zone plate antenna (FZPA) is presented using two different calculation methods. The first method, Physical Optics, is based on Kirchhoff's diffraction theory and holds for apertures which are large in terms of the wavelength. Because this is not the case for the width of all the radiating rings of the FZPA, a second method is used which accounts for the influence of the edges of the rings on the incident field. This method is based on a combination of the Geometrical Theory of Diffraction and the Uniform Theory of Diffraction. Expressions which describe the radiation patterns are derived using both methods, and the differences and similarities between them are examined. The results of this analysis give good insight into the influence of the FZPA geometry on its radiation properties.

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Available abstract

A vectorial far-field, analysis of the Fresnel-zone plate antenna (FZPA) is presented using two different calculation methods. The first method, Physical Optics, is based on Kirchhoff's diffraction theory and holds for apertures which are large in terms of the wavelength. Because this is not the case for the width of all the radiating rings of the FZPA, a second method is used which accounts for the influence of the edges of the rings on the incident field. This method is based on a combination of the Geometrical Theory of Diffraction and the Uniform Theory of Diffraction. Expressions which describe the radiation patterns are derived using both methods, and the differences and similarities between them are examined. The results of this analysis give good insight into the influence of the FZPA geometry on its radiation properties.

Key concepts: Diffraction, Uniform theory of diffraction, Optics, Fresnel diffraction, Fresnel zone, Zone plate, Radiation pattern, Radiation

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Calculating the Radiation Pattern of a Fresnel-Zone Plate Antenna∷ A Comparison Between UTD/GTD and PO — Research Paper | ScholarLens