Optimization of Radar Cross Section by a Gradient Method

Bondeson, A.; Yang, Yanjiang; Weinerfelt, Per

doi:10.1109/tmag.2004.824730

Cited by 24 publications

(18 citation statements)

References 11 publications

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“…The scattered field of the whole object is the resultant of the components of the scattered field from all facets. The following integral equation is calculated to obtain the scattered field [3].…”

Section: Defining Shape and Calculating Rcs Of The Nose Of Flying Objmentioning

confidence: 99%

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Planar negative refractive index media using periodically L-C loaded transmission lines

Eleftheriades

Iyer

Kremer

2002

IEEE Trans. Microwave Theory Techn.

1,283

732

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This article aimed to optimize radar cross section (RCS) of the nose of flying objects using a new shaping method. In this method, parameters related to the scatterer shape can continuously change. Thus, precise optimization can be carried out. The nose of flying objects with desired size and sharpness was defined by mathematical formula with two parameters. The physical optics method was also applied to calculate RCS. Design curves were calculated by changing sharpness and size criteria of the nose of flying objects. Effects of changing frequency, angle of observation, and angle of incidence on RCS curves were also investigated.

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Section: Defining Shape and Calculating Rcs Of The Nose Of Flying Objmentioning

confidence: 99%

“…Many methods, such as shaping, active loading, passive loading, and RAM coating, have been used to reduce radar cross section (RCS) [1][2][3]. Shaping is one of the simplest and most primary stages for reducing RCS of objects.…”

Section: Introductionmentioning

confidence: 99%

Planar negative refractive index media using periodically L-C loaded transmission lines

Eleftheriades

Iyer

Kremer

2002

IEEE Trans. Microwave Theory Techn.

1,283

732

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“…To eliminate E from the expression for , we apply methods of optimal shape design [14,18] to find how the solution changes when an interface between two regions of different materials parameters r and r is displaced infinitesimally. The first-order variation E of the electric field can be determined by using the fact that the weak form (9) of the differential equation holds for E in the original configuration, and forẼ = E + E in the modified geometry.…”

Section: Shape Derivativementioning

confidence: 99%

Shape optimization for radar cross sections by a gradient method

Bondeson

Yang

Weinerfelt³

2004

Numerical Meth Engineering

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SUMMARYA gradient method for optimization of shape and materials for radar cross section (RCS) reduction is derived from Maxwell's equations. The method uses the adjoint problem and finds the derivatives of the RCS with respect to all design parameters from a single solution of the scattering problem. The method is tested in two-dimensional test problems to minimize the RCS in specified angular intervals at a single frequency, and finds configurations with strongly reduced RCS in a small number of iterations. In the absence of other constraints, the optimal shapes of perfectly electrically conducting (PEC) scatterers have sharp corners pointing in the directions where the RCS is minimized and shapes optimized at a single or small number of frequencies exhibit corrugations with about half the wavelength of the incident wave. The corrugations can be suppressed by means of penalty functions, and this gives only moderate increases of the RCS. After such regularization, the optimal shapes agree well with expectations from geometrical optics; they have almost flat surfaces whose normals lie outside the intervals chosen for RCS optimization, and sharp edges at locations where the surface normal points into the intervals in which the RCS is minimized. Shape optimization of PEC wing profiles aiming at both good aerodynamical properties and low RCS show give conflicting requirements on the shape.

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“…In some cases, these data is not known at all. We developed a novel methodology based on advanced optimization and penalization techniques [1][2][3] that make it possible to determine the values of such parameters that minimize the differences between the calculated and measured values of the required quantities.…”

Section: Introductionmentioning

confidence: 99%

Calibration of numerical models based on advanced optimization and penalization techniques

Karban

Pánek

Mach

et al. 2017

Journal of Electrical Engineering

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A new approach to estimation of unknown material parameters and boundary conditions of physical models was developed. The approach is based on processing measured data by advanced optimization techniques connected with penalization. The data are supposed to be in the form of random variables with normal probability distributions. Several examples were calculated proving the strength of the proposed algorithm.

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Optimization of Radar Cross Section by a Gradient Method

Cited by 24 publications

References 11 publications

Planar negative refractive index media using periodically L-C loaded transmission lines

Planar negative refractive index media using periodically L-C loaded transmission lines

Shape optimization for radar cross sections by a gradient method

Calibration of numerical models based on advanced optimization and penalization techniques

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