Radar Cross Section (RCS) - MATLAB Simulations for Radar Systems Design - page 522

where

Symbol Description Units Status

r1 small end radius meters input

r2 large end radius meters input

freq frequency Hz input

indicator indicator = 1 when viewing from

large end
indicator = 0 when viewing from
small end

none input

rcs array of RCS versus aspect angle dBsm output

11.5.5. Cylinder

Fig. 11.24 shows the geometry associated with a finite length conducting
cylinder. Two cases are presented: first, the general case of an elliptical cross
section cylinder; second, the case of a circular cross section cylinder. The nor-
mal and non-normal incidence backscattered RCS due to a linearly polarized
incident wave from an elliptical cylinder with minor and major radii being
and

r 1

r 2 are, respectively, given by

2π H 2 r 2 r 2

σ θ n = -------------------------------------------------------------------- (11.46)

] 1.5 λ r 2 ) 2 r 2 ) 2

[ ( cos ϕ + ( sin ϕ

λ r 2 r 2 sin θ

σ = -----------------------------------------------------------------------------------------------

(11.47)

] 1.5 ) 2 r 2 ) 2 r 2 ) 2

8π ( cos θ [ ( cos ϕ + ( sin ϕ

For a circular cylinder of radius r , then due to roll symmetry, Eqs. (11.46)

and (11.47), respectively, reduce to

2π H 2 r
λ

σ θ n = ----------------

(11.48)

sin
8πθ

λ r θ

σ = --------------------------

(11.49)

) 2

( cos

Fig. 11.25a shows a plot of the cylinder backscattered RCS for a symmetri-
cal cylinder. Fig. 11.25b shows the backscattered RCS for an elliptical cylin-
der. These plots can be reproduced using MATLAB function Ðrcs_cylinder.mÑ
given in Listing 11.9 in Section 11.9.