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Bistatic and Monostatic Radar Cross Section of Radially Inhomogeneous Spheres

Brock, Billy C.

The exact radar cross section (RCS) of a sphere made of perfect electrical conductor (PEC) can be computed from the well - known Mie series, and this has made the metal sphere a very useful object for calibrating radar. However, the scattering behavior for homogeneous dielectric spheres, radially - inhomogeneous layered dielectric spheres, or PEC spheres surrounded by multiple homogeneous layers of dielectric material is much more interesting than that of the simple PEC sphere. For example, a homogeneous dielectric sphere can have an RCS that is considerably larger than that of an identically sized PEC sphere, or a PEC sphere with appropriate dielectric coatings can appear much smaller than the uncoated sphere. Possibly more surprising, a dielectric sphere made of the correct magic material can become totally invisible to a monostatic radar, while exhibiting significant scattering in directions away from the back - scatter direction. Exact formulations, based on expansions of the field using vector spherical harmonics, are derived for the bistatic and monostatic RCS of these more complex spheres.

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Evaluation of Field-Mapping Data for the MI-Tech MI-506CE-1 Compact-Range Reflector in the Sandia National Laboratories' Facility for Antenna and Radar-cross-section Measurements (FARM)

Brock, Billy C.

The compact range, located at the Sandia National Laboratories Facility for Antenna and Radar-cross-section Measurements (FARM), has been upgraded by the addition of a new, larger reflector. The new reflector, an MI Technologies model MI-506CE-1, was installed and tested during August through October of 2013. Extensive field mapping was performed by MI Tech personnel, and that data is presented and examined here. Statistics describing the field quality are provided for the nominal test zone, as well as several reduced-size test zones. Spatial-frequency analysis has been applied to the data, and this process allows a determination of amplitude and direction information associated with unwanted reflected and diffracted field components arriving in the test zone.

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Analysis of Electromagnetic Scattering From a Dihedral Cut Into a Sphere Using Vector Spherical Harmonics

Brock, Billy C.

Proper calibration or verification of the calibration of fully - polarimetric radar requires more than a simple specular target, such as a conducting sphere or corner reflector. The dihedral reflector is a useful radar - scattering target for calibrating the polarization response of a radar system, because it possesses the ability to change the direction of the scattered electric - field vector in a special way, while a sphere or trihedral target does not. However, the scattered electromagnetic field of a sphere can be computed with arbitrary precision using the well - known Mie series, which is obtained by expanding the scattered field as a series of vector spherical harmonics. In contrast, the computation of the scattered electromagnetic field of dihedral reflectors typically relies on numerical methods or various approximate solutions of Maxwell's equations. Precision calibration of wide - bandwidth polarimetric radar has not been adequately achieved for some applications using this approach. This report describes a method for computing the scattered electromagnetic field of a specially shaped dihedral, derived through the application of a series expansion in vector spherical harmonics, with the goal of achieving the same precision that is available for the sphere.

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The Frequency-Coded Pulse-Burst Waveform and the Costas Sequence

Brock, Billy C.

The process of simultaneously measuring range and radial velocity with radar is accompanied by an inherent uncertainty or ambiguity in the values obtained. The choice of radar waveform allows some control over this uncertainty. This study examines the frequency-coded pulse-burst waveform as it relates to determination of the range and radial velocity of a moving target. The radar ambiguity function and the matched-filter response are presented for a certain class of frequency-coded pulse bursts, in which each subpulse contains exactly an integer number of cycles. The study is specialized further to the examination of a pulse burst based on a special sequence of integers called a Costas sequence. The advantages and disadvantages of this special waveform are described. Results from simulated measurements are included.

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A Spatial-frequency Method for Analyzing Antenna-to-Probe Interactions in Near-field Antenna Measurements

Brock, Billy C.

The measurement of the radiation characteristics of an antenna on a near-field range requires that the antenna under test be located very close to the near-field probe. Although the direct coupling is utilized for characterizing the near field, this close proximity also presents the opportunity for significant undesired interactions (for example, reflections) to occur between the antenna and the near-field probe. When uncompensated, these additional interactions will introduce error into the measurement, increasing the uncertainty in the final gain pattern obtained through the near-field-to-far-field transformation. Quantifying this gain-uncertainty contribution requires quantifying the various additional interactions. A method incorporating spatial-frequency analysis is described which allows the dominant interaction contributions to be easily identified and quantified. In addition to identifying the additional antenna-to-probe interactions, the method also allows identification and quantification of interactions with other nearby objects within the measurement room. Because the method is a spatial-frequency method, wide-bandwidth data is not required, and it can be applied even when data is available at only a single temporal frequency. This feature ensures that the method can be applied to narrow-band antennas, where a similar time-domain analysis would not be possible.

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Correcting Cross-polarization Monopulse Response of Reflector Antennas

Brock, Billy C.; Allen, Steven E.

The monopulse response of radar systems utilizing a short-focal-length offset-fed parabolic reflector can be compromised by depolarization of the signal by the target and by multipath scattering from nearby objects. The polarimetric behavior of this type of antenna is examined. The use of a shroud to reduce multipath interaction with nearby objects is also described. The mechanism through which man-made targets can introduce cross-polarization components into the scattered field is explained. Two kinds of polarization filters, suitable for linear polarization, are described for mitigating the effects of depolarization due to cross-polarization scattering. The benefit of the application of a polarization filter is demonstrated by modeling a monopulse radar system viewing a dihedral corner reflector. The model demonstrates dramatic performance improvement when the filter is used, showing that usable performance can be achieved even when the target depolarization is so severe that the cross-polarized signal is more than an order of magnitude stronger than the desired co-polarized signal. Relevant and useful reference material is also included in the form of appendices describing the relationship between different polarization representations and demonstrating the conditions under which Maxwell's equations can be considered to be scale-invariant.

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Feasibility of antenna-to-antenna isolation measurements at S-band in the Facility for Antenna and Radar-cross-section Measurements (FARM)

Brock, Billy C.

Frequency-domain antenna-coupling measurements performed in the compact-range room of the FARM, will actually be dominated by reflected components from the ceiling, floor, walls, etc., not the direct freespace coupling. Consequently, signal processing must be applied to the frequency-domain data to extract the direct free-space coupling. The analysis presented above demonstrates that it is possible to do so successfully.

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Radar-cross-section reduction of wind turbines. part 1

McDonald, Jacob J.; Brock, Billy C.; Allen, Steven E.; Clem, Paul G.; Paquette, Joshua P.; Patitz, Ward E.; Calkins, David C.; Loui, Hung L.

In recent years, increasing deployment of large wind-turbine farms has become an issue of growing concern for the radar community. The large radar cross section (RCS) presented by wind turbines interferes with radar operation, and the Doppler shift caused by blade rotation causes problems identifying and tracking moving targets. Each new wind-turbine farm installation must be carefully evaluated for potential disruption of radar operation for air defense, air traffic control, weather sensing, and other applications. Several approaches currently exist to minimize conflict between wind-turbine farms and radar installations, including procedural adjustments, radar upgrades, and proper choice of low-impact wind-farm sites, but each has problems with limited effectiveness or prohibitive cost. An alternative approach, heretofore not technically feasible, is to reduce the RCS of wind turbines to the extent that they can be installed near existing radar installations. This report summarizes efforts to reduce wind-turbine RCS, with a particular emphasis on the blades. The report begins with a survey of the wind-turbine RCS-reduction literature to establish a baseline for comparison. The following topics are then addressed: electromagnetic model development and validation, novel material development, integration into wind-turbine fabrication processes, integrated-absorber design, and wind-turbine RCS modeling. Related topics of interest, including alternative mitigation techniques (procedural, at-the-radar, etc.), an introduction to RCS and electromagnetic scattering, and RCS-reduction modeling techniques, can be found in a previous report.

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On the detection of crevasses in glacial ice with synthetic-aperture radar

Brock, Billy C.

The intent of this study is to provide an analysis of the scattering from a crevasse in Antarctic ice, utilizing a physics-based model for the scattering process. Of primary interest is a crevasse covered with a snow bridge, which makes the crevasse undetectable in visible-light images. It is demonstrated that a crevasse covered with a snow bridge can be visible in synthetic-aperture-radar (SAR) images. The model of the crevasse and snow bridge incorporates a complex dielectric permittivity model for dry snow and ice that takes into account the density profile of the glacier. The surface structure is based on a fractal model that can produce sastrugi-like features found on the surface of Antarctic glaciers. Simulated phase histories, computed with the Shooting and Bouncing Ray (SBR) method, are processed into SAR images. The viability of the SBR method for predicting scattering from a crevasse covered with a snow bridge is demonstrated. Some suggestions for improving the model are given.

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Radar cross section of triangular trihedral reflector with extended bottom plate

Doerry, Armin; Brock, Billy C.

Trihedral corner reflectors are the preferred canonical target for SAR performance evaluation for many radar development programs. The conventional trihedrals have problems with substantially reduced Radar Cross Section (RCS) at low grazing angles, unless they are tilted forward, but in which case other problems arise. Consequently there is a need for better low grazing angle performance for trihedrals. This is facilitated by extending the bottom plate. A relevant analysis of RCS for an infinite ground plate is presented. Practical aspects are also discussed.

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The application of taylor weighting, digital phase shifters, and digital attenuators to phased-array antennas

Brock, Billy C.

Application of Taylor weighting (taper) to an antenna aperture can achieve low peak sidelobes, but combining the Taylor weighting with quantized attenuators and phase shifters at each radiating element will impact the performance of a phased-array antenna. An examination of array performance is undertaken from the simple point of view of the characteristics of the array factor. Design rules and guidelines for determining the Taylor-weighting parameters, the number of bits required for the digital phase shifter, and the dynamic range and number of bits required for the digital attenuator are developed. For a radar application, when each element is fed directly from a transmit/receive module, the total power radiated by the array will be reduced as a result of the taper. Consequently, the issue of whether to apply the taper on both transmit and receive configurations, or only on the receive configuration is examined with respect to two-way sidelobe performance.

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Bursting Frequency Predictions for Compressible Turbulent Boundary Layers

Brock, Billy C.

A computational method for the prediction of the bursting frequency associated with the coherent streamwise structures in high-speed compressible turbulent boundary layers is presented. The structures are described as wavelike disturbances of the turbulent mean flow. A direct resonance theory is used to determine the frequency of bursting. The resulting hydrodynamic linear stability equations are discretized by using a Chebyshev collocation method. A global numerical method capable of resolving the entire eigenvalue spectrum is used. Realistic turbulent mean velocity and temperature profiles are applied. For all of the compressible turbulent boundary layers calculated, the results show at least one frequency that satisfies the resonance condition. A second frequency can be identified for cases with high Reynolds numbers. An estimate is also made for the profile distribution of the temperature disturbance.

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Vectors a Fortran 90 module for 3-dimensional vector and dyadic arithmetic

Brock, Billy C.

A major advance contained in the new Fortran 90 language standard is the ability to define new data types and the operators associated with them. Writing computer code to implement computations with real and complex three-dimensional vectors and dyadics is greatly simplified if the equations can be implemented directly, without the need to code the vector arithmetic explicitly. The Fortran 90 module described here defines new data types for real and complex 3-dimensional vectors and dyadics, along with the common operations needed to work with these objects. Routines to allow convenient initialization and output of the new types are also included. In keeping with the philosophy of data abstraction, the details of the implementation of the data types are maintained private, and the functions and operators are made generic to simplify the combining of real, complex, single- and double-precision vectors and dyadics.

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Electromagnetic scattering from buried objects

Brock, Billy C.

Radar imaging and detection of objects buried in soil has potentially important applications in the areas of nonproliferation of weapons, environmental monitoring, hazardous-waste site location and assessment, and even archeology. In order to understand and exploit this potential, it is first necessary to understand how the soil responds to an electromagnetic wave, and how targets buried within the soil scatter the electromagnetic wave. We examine the response of the soil to a short pulse, and illustrate the roll of the complex dielectric permittivity of the soil in determining radar range resolution. This leads to a concept of an optimum frequency and bandwidth for imaging in a particular soil. We then propose a new definition for radar cross section which is consistent with the modified radar equation for use with buried targets. This radar cross section plays the same roll in the modified radar equation as the traditional radar cross section does in the free-space radar equation, and is directly comparable to it. The radar cross section of several canonical objects in lossy media is derived, and examples are given for several object/soil combinations.

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Overview of Sandia National Laboratories and Antenna Development Department

Brock, Billy C.

Sandia is a multiprogram R & D laboratory. It has responsibilities in the following areas: (1) defense programs; (2) energy and environment; and (3) work for others (DOD, NSA, etc.). In 1989, the National Competitiveness Technology Transfer Act added another responsibility -- contributions to industrial competitiveness. Sandia has two major laboratory locations, New Mexico and California, and two flight testing locations, Tonopah Test Range, Nevada and Kauai Test Facility, Hawaii. The last part of this talk was dedicated to antenna research at Sandia.

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Ionospheric effects on a wide-bandwidth, polarimetric, space-based, synthetic-aperture radar

Brock, Billy C.

The earth`s ionosphere consists of an ionized plasma which will interact with any electromagnetic wave propagating through it. The interaction is particularly strong at vhf and uhf frequencies but decreases for higher microwave frequencies. These interaction effects and their relationship to the operation of a wide-bandwidth, synthetic-aperture, space-based radar are examined. Emphasis is placed on the dispersion effects and the polarimetric effects. Results show that high-resolution (wide-bandwidth) and high-quality coherent polarimetrics will be very difficult to achieve below 1 GHz.

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Polarimetric calibration of a coherent measurement radar

Brock, Billy C.

The polarimetry problem (the measurement of the radar-cross-section polarization scattering matrix) is described. Two methods of calibrating a polarimetric radar are outlined. The first is a general multiple-calibration-target (MCT) method applicable to almost any radar system. The second is a simple, single-calibration-target (SCT) method applicable to systems which use a single antenna for both transmit/receive and a reciprocal RF network. The performance of the MCT method is examined through the use of Monte Carlo simulations. Finally, the SCT method is applied to measurements from the SCATTER facility, demonstrating about 40 dB isolation between polarization components in the frequency domain and in excess of 50 dB in the range domain.

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23 Results
23 Results