Calculation of Wide Angle Radiation Patterns and Caustics of a Dielectric Lens Antenna by a Ray Tracing Method

Yousuke TAJIMA; Yoshihide YAMADA; Seigo SASAKI; Atsushi KEZUKA

Calculation of Wide Angle Radiation Patterns and Caustics of a Dielectric Lens Antenna by a Ray Tracing Method

Yousuke TAJIMA, Yoshihide YAMADA, Seigo SASAKI, Atsushi KEZUKA

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Recently, dielectric lens antennas are paid attentions in ITS applications. Many lens shape designing methods were already developed. And electrical performances were estimated through a ray tracing method. Here, arbitral lens shapes were expressed by a system of power series. In the case of ray tracing, time-consuming three-coordinate root-finder programs were needed to find intersection points of rays on the lens surfaces. In order to calculate complicated structures such as zoned lenses and complicated rays such as multiple reflections between lens surfaces, simple ray tracing methods are requested. In this paper, a simple ray tracing method that utilizes directly designed discrete points of lens surfaces is developed. In this method, a refracted ray is automatically determined for a given incident ray. As for an intersecting point of a lens surface for an outgoing ray, the nearest point to the refracted vector is found out by employing a simple searching procedure. This method is time-saving compared to the previous three-coordinate root-finding program. Through calculated results of focal points and radiation patterns in wide angle beam steering, effectiveness of a developed method is ensured. Application of the developed ray tracing method of complicated multiple reflections are studied. Reflecting points are found out speedily by the same searching procedure. A calculated example of doubly reflected rays is obtained. Through comparing calculated and measured results of wide angle radiation patterns, effectiveness of a developed method is ensured.

Publication: IEICE TRANSACTIONS on Electronics Vol.E87-C No.9 pp.1432-1440

Publication Date: 2004/09/01

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Type of Manuscript: Special Section PAPER (Special Section on Wave Technologies for Wireless and Optical Communications)

Category: Antennas, Circuits and Receivers

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Yousuke TAJIMA, Yoshihide YAMADA, Seigo SASAKI, Atsushi KEZUKA, "Calculation of Wide Angle Radiation Patterns and Caustics of a Dielectric Lens Antenna by a Ray Tracing Method" in IEICE TRANSACTIONS on Electronics, vol. E87-C, no. 9, pp. 1432-1440, September 2004, doi: .
Abstract: Recently, dielectric lens antennas are paid attentions in ITS applications. Many lens shape designing methods were already developed. And electrical performances were estimated through a ray tracing method. Here, arbitral lens shapes were expressed by a system of power series. In the case of ray tracing, time-consuming three-coordinate root-finder programs were needed to find intersection points of rays on the lens surfaces. In order to calculate complicated structures such as zoned lenses and complicated rays such as multiple reflections between lens surfaces, simple ray tracing methods are requested. In this paper, a simple ray tracing method that utilizes directly designed discrete points of lens surfaces is developed. In this method, a refracted ray is automatically determined for a given incident ray. As for an intersecting point of a lens surface for an outgoing ray, the nearest point to the refracted vector is found out by employing a simple searching procedure. This method is time-saving compared to the previous three-coordinate root-finding program. Through calculated results of focal points and radiation patterns in wide angle beam steering, effectiveness of a developed method is ensured. Application of the developed ray tracing method of complicated multiple reflections are studied. Reflecting points are found out speedily by the same searching procedure. A calculated example of doubly reflected rays is obtained. Through comparing calculated and measured results of wide angle radiation patterns, effectiveness of a developed method is ensured.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/e87-c_9_1432/_p

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@ARTICLE{e87-c_9_1432,
author={Yousuke TAJIMA, Yoshihide YAMADA, Seigo SASAKI, Atsushi KEZUKA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Calculation of Wide Angle Radiation Patterns and Caustics of a Dielectric Lens Antenna by a Ray Tracing Method},
year={2004},
volume={E87-C},
number={9},
pages={1432-1440},
abstract={Recently, dielectric lens antennas are paid attentions in ITS applications. Many lens shape designing methods were already developed. And electrical performances were estimated through a ray tracing method. Here, arbitral lens shapes were expressed by a system of power series. In the case of ray tracing, time-consuming three-coordinate root-finder programs were needed to find intersection points of rays on the lens surfaces. In order to calculate complicated structures such as zoned lenses and complicated rays such as multiple reflections between lens surfaces, simple ray tracing methods are requested. In this paper, a simple ray tracing method that utilizes directly designed discrete points of lens surfaces is developed. In this method, a refracted ray is automatically determined for a given incident ray. As for an intersecting point of a lens surface for an outgoing ray, the nearest point to the refracted vector is found out by employing a simple searching procedure. This method is time-saving compared to the previous three-coordinate root-finding program. Through calculated results of focal points and radiation patterns in wide angle beam steering, effectiveness of a developed method is ensured. Application of the developed ray tracing method of complicated multiple reflections are studied. Reflecting points are found out speedily by the same searching procedure. A calculated example of doubly reflected rays is obtained. Through comparing calculated and measured results of wide angle radiation patterns, effectiveness of a developed method is ensured.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Calculation of Wide Angle Radiation Patterns and Caustics of a Dielectric Lens Antenna by a Ray Tracing Method
T2 - IEICE TRANSACTIONS on Electronics
SP - 1432
EP - 1440
AU - Yousuke TAJIMA
AU - Yoshihide YAMADA
AU - Seigo SASAKI
AU - Atsushi KEZUKA
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E87-C
IS - 9
JA - IEICE TRANSACTIONS on Electronics
Y1 - September 2004
AB - Recently, dielectric lens antennas are paid attentions in ITS applications. Many lens shape designing methods were already developed. And electrical performances were estimated through a ray tracing method. Here, arbitral lens shapes were expressed by a system of power series. In the case of ray tracing, time-consuming three-coordinate root-finder programs were needed to find intersection points of rays on the lens surfaces. In order to calculate complicated structures such as zoned lenses and complicated rays such as multiple reflections between lens surfaces, simple ray tracing methods are requested. In this paper, a simple ray tracing method that utilizes directly designed discrete points of lens surfaces is developed. In this method, a refracted ray is automatically determined for a given incident ray. As for an intersecting point of a lens surface for an outgoing ray, the nearest point to the refracted vector is found out by employing a simple searching procedure. This method is time-saving compared to the previous three-coordinate root-finding program. Through calculated results of focal points and radiation patterns in wide angle beam steering, effectiveness of a developed method is ensured. Application of the developed ray tracing method of complicated multiple reflections are studied. Reflecting points are found out speedily by the same searching procedure. A calculated example of doubly reflected rays is obtained. Through comparing calculated and measured results of wide angle radiation patterns, effectiveness of a developed method is ensured.
ER -