Elektricität und Optik

Poincaré, H.; Jaeger, W.; Gumlich, E.; Blondin, J.; Brunhes, Bernard

doi:10.1007/978-3-642-51427-2

Cited by 3 publications

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“…1^^ Briot(1864). ^' ^^ Poincaré (1889^^ Poincaré ( , 1892; obras basadas en las lecciones que dictó en la Sorbona durante los cursos 1887-1888 y 1891-1892.…”

Section: José Manuel Sánchez Ronunclassified

José Echegaray: entre la ciencia, el teatro y la política

Ron¹

2004

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“…1^^ Briot(1864). ^' ^^ Poincaré (1889^^ Poincaré ( , 1892; obras basadas en las lecciones que dictó en la Sorbona durante los cursos 1887-1888 y 1891-1892.…”

Section: José Manuel Sánchez Ronunclassified

José Echegaray: entre la ciencia, el teatro y la política

Ron¹

2004

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“…In fact, actual polarization variations cause level difference variations that result in direction finding errors [3]. A refined analysis of this phenomenon can be performed by means of MallardPoincare's sphere [4] as displayed in the following. …”

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Polarization Mismatch Errors in Amplitude Comparison Direction Finders

Ducrotoy¹

1984

IEEE Trans. Aerosp. Electron. Syst.

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The polarization unbalance between the two antennas of an amplitude direction finder causes measurement errors for incident waves of variable polarization. These errors are analyzable qualitatively and quantitatively by means of Poincare's sphere. Direction of arrival measurement using an amplitude comparison direction finder is a well known technique in both the radar [1] and the Electronic Support Measure (ESM) [2] fields.Such a device is built on the assumption that the level difference between detected signals at the two antenna outputs is in some manner a fixed monotonic function of offset angle. Variations of polarization, either of the incident wave versus any time of arrival or of the receiving antenna versus any direction of arrival, are generally disregarded. In fact, actual polarization variations cause level difference variations that result in direction finding errors [3]. A refined analysis of this phenomenon can be performed by means of MallardPoincare's sphere [4] as displayed in the following. DEFINITIONIn this paper, polarization relates either to propagating wave polarization or to receiving antenna polarization. Conventionally, the polarization ellipse is defined by its tilt angle ox and its ellipticity angle P for an observer looking in the direction of the actual propagating wave or of the supposed propagating wave radiated by the transmitting antenna [51. APPLICATIONThere are two cases which may be considered:(1) The case which may be of most interest would start with given limits of incident polarization and a given antenna configuration and find the expected errors in direction finding accuracy.(2) The inverse of the first case would start with a maximum allowable direction finding error and find the corresponding limits of the incident polarization for the given antenna configuration. In order to undertake either of these, it is necessary to relate the direction finding error AO to the power coupling ratio m2 for the incident polarization between the two antennas of the direction finder.As an example, suppose the power pattern shapes for the two antennas are of the form A exp[ -a2 (0 + 00)2] (see [2]). Hence the difference AN between the detected levels at the outputs of two identical logarithmic receivers following the two direction finder antennas may be written as a linear function of the angle of arrival 0, AN = k 0 + 1 or 0 = yAN + &. Following the analysis of [2], m2 can be related to a resulting error AO as follows: m2 = 10 to the (lAO/ lOy) or AO = 10 y log mi2. Note that substituting m-2 for m2 changes AO into -AO.It is also necessary to know the polarizations P2 and P1 of each of the two antennas of the direction finder as a function of the signal direction 0. These might be found by analysis of the given antenna configuration or by direct measurement.

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VI. Velocity of electric waves in air

Maclean

1899

The London, Edinburgh, and Dublin Philosophical Magazine and Jo

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Elektricität und Optik

Cited by 3 publications

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José Echegaray: entre la ciencia, el teatro y la política

José Echegaray: entre la ciencia, el teatro y la política

Polarization Mismatch Errors in Amplitude Comparison Direction Finders

VI. Velocity of electric waves in air

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