Radar cross-section comparison on simple shapes

This document presents CAPITOLE-RCS simulation results on simple shapes.

The monostatic RCS is calculated and compared with measured data published in the following article: A.C. Woo, H.T.G. Wang, M.J Schuh and M.L Sanders “Benchmark Radar Targets for the Validation of Computational Electromagnetics Programs” IEEE Antennas and Propagation Magazine, Vol. 35, No.
1, February 1993.
These models are intended for validation and calibration of electromagnetic simulation software.
All simulations with CAPITOLE-RCS software were performed on a Windows 10 laptop with Intel core i7 CPU and 16 Gb RAM memory.

1. NASA's "Metallic Almond" test case

Model:

Metallic Almond” is not in fact a simple shape.
It is defined by mathematical equations to form an almond-shaped surface.
This model is very interesting for the study of SCR, as it highlights the great dynamics of the SCR value.
The mesh must be refined on the tip and base to maintain good precision on the results.

Total length is 0.25 m (9.936 inches).

Simulation parameters :

Monostatic RCS is calculated at 3 frequencies: 1.19, 7 and 9.92 GHz.

For vertical and horizontal polarization.

RCS is plotted in dBm2 as a function of azimuth angle from 0 to 180°.
Azimuth zero corresponds to incidence on the tip.
The elevation angle is zero.

Solver :

The moment method was used with the MSCBD solver and EFIE equations.

1.19 GHz 7 GHz 9.92 GHz
Mesh size Lambda/40 Lambda/15 Lambda/15
Number of unknowns 3 546 17 262 34 692
Total duration 2 seconds 17 seconds 57 seconds
Figure 1 - "Metallic Almond" mesh model
Figure 2 NASA Almond RCS @1.19GHz CAPITOLE-RCS vs measurement

2. Single metal ogive

Model:

The model was created from the analytical expression to create a curve and rotated to create a surface.
Total length is 0.254 m (10 inches).

Simulation parameters :

Monostatic RCS is calculated at 2 frequencies: 1.18 and 9 GHz.

For vertical and horizontal polarization.

RCS is plotted in dBm2 as a function of azimuth angle from 0 to 180°.
Azimuth zero corresponds to incidence on the tip.
The elevation angle is zero.

Solver :

The moment method was used with the MSCBD solver and EFIE equations.

1.18 GHz 9 GHz
Mesh size Lambda/50 Lambda/20
Number of unknowns 3 648 34 968
Total duration 1 second 1 minute and 12 seconds
Figure 3 - RCS of a single metal warhead at 1.18 GHz CAPITOLE-RCS as a function of the measurement
Figure 4 - Metal model with single Ogive mesh

3. Metal double ogive

Model:

The model was created from the analytical expression to create a curve and rotated to create a surface.

Total length is 0.191 m (7.5 inches).

Simulation parameters :

Monostatic RCS is calculated at 2 frequencies: 1.57 and 9 GHz.

For vertical and horizontal polarization.

RCS is plotted in dBm2 as a function of azimuth angle from 0 to 180°.
The elevation angle is zero.

Solver :

The moment method was used with the MSCBD solver and EFIE equations.

1.57 GHz 9 GHz
Mesh size Lambda/40 Lambda/15
Number of unknowns 3 288 15 096
Total duration 1 second 13 seconds
Figure 5 - Double ogive wire mesh model
Figure 6 - RCS of the CAPITOLE-RCS double metal warhead at 1.57 GHz as a function of the measurement

4. Metal cone-sphere

Model:

The model was created from the analytical expression to create a curve and rotated to create a surface.

Total length is 0.689 m (27.127 inches).

Simulation parameters :

Monostatic RCS is calculated at 2 frequencies: 869 MHz and 9 GHz.

For vertical and horizontal polarization.

RCS is plotted in dBm2 as a function of azimuth angle from -180 to 0°. The azimuth of -180 degrees corresponds to the incidence on the tip. The elevation angle is zero.

Solver :

The moment method was used and the EFIE equations were applied.

869 MHz 9 GHz
Mesh size Lambda/40 Lambda/20
Number of unknowns 8 664 227 793
Total duration 12 seconds 3h11 min (on a 48-core server)
Figure 7 - Cone-sphere mesh model
Figure 8 - RCS of the CAPITOLE-RCS 869 MHz metal conical sphere as a function of measurement.

5. Metal cone-sphere with slot

Model:

The model was created from the analytical expression to create a curve and rotated to create a surface.

Total length is 0.689 m (27.127 inches).

Simulation parameters :

Monostatic RCS is calculated at 2 frequencies: 869 MHz and 9 GHz.

For vertical and horizontal polarization.

RCS is plotted in dBm2 as a function of azimuth angle from -180 to 0°. The -180° azimuth corresponds to the incidence on the tip. The elevation angle is zero.

Solver :

The moment method was used with the MSCBD solver and EFIE equations.

869 MHz 9 GHz
Mesh size Lambda/40 Lambda/15
Number of unknowns 8 952 131 508
Total duration 13 seconds 7 min 26 seconds
Figure 9 - Model of cone and sphere mesh with interstices
Figure 10 - Metallic conical sphere with RCS @869MHz CAPITOLE-RCS space vs. measurement

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