The axial echo area of a perfectly conducting prolate spheroid

Moffatt, D. L.; Kennaugh, E.

doi:10.1109/tap.1965.1138438

Cited by 32 publications

(17 citation statements)

References 6 publications

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“…which is the Kennaugh-Cosgriff formula, (Kennaugh & Cosgriff,.1958;Kennaugh & Moffatt, 1965). The corrected total field Is thus r 0 Ho (r, t) -roHs(PO)(r, t) + rlIs(p 0 t)…”

Section: Frequeacy-dependent Relarionship Of Polarimetric Scattering mentioning

confidence: 96%

Basic Concepts of Radar Polarimetry and Its Applications to Target Discrimination, Classification, Imaging and Identification

Boerner¹

1982

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Polarizai:ion, radar polarimetry, target discrimination, classification, imaging, optimal polarization nulls, polarization transformation matrix, Mu.eller matrix, radar scattering ,%atrix, polarization fork.1;1-0. ASSTR ACT (Continue on rova. old. It A4 -at *orny and Odonaltli by block "Wob".1IInI meticulous detail, a su~cinct sunimary of basic electromagnetic wave polarization descriptors, of' the various scatterer polarization transformation and of the scatterer descriptive operators is introduced. It is then shown how 'the five (5) independeutt ma\vrix parameter for the relative phase monostati-scattering matrix de~scrib.'ng an isolated, yet regionally distributed, target in a reciprocal propagatiov medium can be recovered from (i) amplitude-. only, (ii) mixed amplitude plus pai'tial phase, (iii) complete two-step (Cont'd) 20.ABSTRACT amplitude-phase measurements. Basic properties of the radar target scattering matrix for linear (H, V) and circular (R, L) polarization basis Pre described in terms of geometrical target features as functions of the specular point surface coordinate parameters, known as gaussian principal, main and related curvature functions.Based upon this succinct background introduction on radar polarimetry, the concepts are applied mainly for the coherent case to various classes of increasing order of sophistication, as defined in detail in the INTRODUCTION, to the problem of radar target handling for the noa-cooperative, limited-data case. ff.j- ABSTMRCTIn meticulous detail, a succinct summary of b~asic electromagnetic wave polarization deiscriptors, of the various scatterer polarization transformation matrces, and its Invariants of the associated optimal matrix polarizatlkons, ane of' the scatterer descriptive operators In Introduced, It Is then show~n holmw thf. five (5) Ir-dependent matrix parametr~r for the relat~iv% phase mora-static .iattcring matrix. cescrlbing an~ Isolated, ;et relilonally dls'ributud, t.arget In a revciprocal prdIpagt,.tion medium can be/#rer~overed from (1) amplituda-only, 01i) minxed ainpiltu(ce pium~ partial phase., (il1) c;omplete t-wc-ate,ý a3;Pplltude-I phetse roIeasure~menti", Ba,,ic prope'rti-es of the radiar target catri:g matrix forĩ llnear' (H, V) and r'1rcular (R, L) polarrizva.tion basis are desccrbe~d in terms o"'. cttimetrical 1argetdie,-tures as functions of the specular polr-. 5.urface coordin~ate parameters, Vnown ill gausslao principal, main and related cuivature functlor),. Based upon this suci:inct background Introduction on radar polarimetry, the concepts-are applie.d mainly fur thie zoherent case to variou~j classes of 7rncreas-Ing order of sophistication, as defined In detail In the 1147KODUCTIONi, 4o the problem of radar target handling~ for the non-ccaperative, ilimited-dat'A case.l.

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“…which is the Kennaugh-Cosgriff formula, (Kennaugh & Cosgriff,.1958;Kennaugh & Moffatt, 1965). The corrected total field Is thus r 0 Ho (r, t) -roHs(PO)(r, t) + rlIs(p 0 t)…”

Section: Frequeacy-dependent Relarionship Of Polarimetric Scattering mentioning

confidence: 96%

Basic Concepts of Radar Polarimetry and Its Applications to Target Discrimination, Classification, Imaging and Identification

Boerner¹

1982

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“…fz(x,y) dp along ll at s=;! ·~ (3) where fz<x,y) = f_~ fW dz (4) is the vertical thickness of the target since f~) is the characteristic function. From (2) and (3),…”

Section: Heorymentioning

confidence: 99%

“…Dividing the ramp response by its integral results the area function per volume of the target (normalized area function) [2] thus eliminating the unknown scattering constant. Since the area function (or its normalized form) contains the geometric information about the target, it has been employed in studies of both radar [3][4][5] and ultrasonic signal imaging [6]. In this paper, an ultrasonic CT algorithm is develped, using the area function from the Born approximation previously suggested by Tam [7].…”

Section: Introductionmentioning

confidence: 99%

Area Function Imaging in Two-Dimensional Ultrasonic Computerized Tomography

Koo

Shafiee

Hsu

et al. 1990

Review of Progress in Quantitative Nondestructive Evaluation

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“…Many researchers have been involved with its solution in the past in a great number of papers, applying various methods. Among these papers are the ones included in our reference list [1][2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

“…Analytical expressions are obtained for the scattered field and the scattering cross-sections, when the solution is specialized to small values of the eccentricity h = d/(2a), (h 1), where d is the interfocal distance of the spheroid and 2a the length of its rotation axis. In this case exact, closed-form expressions, valid for each small h, are obtained for the expansion coefficients g (2) and g (4) in the relation …”

mentioning

confidence: 99%

Electromagnetic Scattering by a Metallic Spheroid Using Shape Perturbation Method

Kotsis¹,

Roumeliotis²

2007

PIER

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Abstract-The scattering of a plane electromagnetic wave by a perfectly conducting prolate or oblate spheroid is considered analytically by a shape perturbation method. The electromagnetic field is expressed in terms of spherical eigenvectors only, while the equation of the spheroidal boundary is given in spherical coordinates. There is no need for using any spheroidal eigenvectors in our solution. Analytical expressions are obtained for the scattered field and the scattering cross-sections, when the solution is specialized to small values of the eccentricity h = d/(2a), (h 1), where d is the interfocal distance of the spheroid and 2a the length of its rotation axis. In this case exact, closed-form expressions, valid for each small h, are obtained for the expansion coefficients g (2) and g (4) in the relation

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The axial echo area of a perfectly conducting prolate spheroid

Cited by 32 publications

References 6 publications

Basic Concepts of Radar Polarimetry and Its Applications to Target Discrimination, Classification, Imaging and Identification

Basic Concepts of Radar Polarimetry and Its Applications to Target Discrimination, Classification, Imaging and Identification

Area Function Imaging in Two-Dimensional Ultrasonic Computerized Tomography

Electromagnetic Scattering by a Metallic Spheroid Using Shape Perturbation Method

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