Random Rough Surface Generation
Reference: Chapter 4
of Scattering of
Electromagnetic Waves: Numerical Simulations
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- rsgeng.m generates
one-dimensional Gaussian surface with Gaussian spectrum.
[f,df,x]=rsgeng(N,rL,h,lc,seed)
- N:
number of sampling points on surface
- rL:
rough surface length
- h:
rms height
- lc:
correlation length
- seed:
seed for random number generator
- f:
rough surface height at sample points
- df:
rough surface slope (df/dx) at sample points
- x:
location of sampling points on the surface
Example: N=256, rL=25.6, h=0.2, lc=0.5, seed=123456

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rsgeno.m generates one-dimensional Gaussian
surface with bandlimited ocean spectrum.
[f,df,x]=rsgeno(N,rL,kl,ku,us,seed)
- N:
number of sampling points on surface
- rL:
rough surface length (m)
- kl:
lower wavenumber cutoff (1/m)
- ku:
upper wavenumber cutoff (1/m)
- us:
wind friction velocity (m/s)
- seed:
seed for random number generator
- f:
rough surface height at sample points (m)
- df:
rough surface slope (df/dx) at sample points
- x:
location of sampling points on the surface (m)
Example: N=256, rL=0.4045, kl=100, ku=4000, us=0.4372, seed=123456

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rsgenf.m generates one-dimensional bandlimited
fractal surface based on the Weierstrass-Mandelbrot function.
[f,df,x]=rsgenf(N,rL,h,kl,ku,Nf,sdim,seed)
- N:
number of sampling points on surface
- rL:
rough surface length (m)
- h:
rms height (m)
- kl:
lower wavenumber cutoff (1/m)
- ku:
upper wavenumber cutoff (1/m)
- Nf:
number of tones
- sdim:
fractal dimension (1 <= sdim <= 2)
- seed:
seed for random number generator
- f:
rough surface height at sample points (m)
- df:
rough surface slope (df/dx) at sample points
- x:
location of sampling points on the surface (m)
Example: N=256, rL=0.4045, h=8.12e-4, kl=100, ku=4000, Nf=100,
sdim=1.5, seed=123456

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