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2-D Lorentzian with varying power law.
A 2-D Lorentz model with a varying power law, also known as a Beta
model:
f(x,y) = f(r) = A/(1+[r/r_0]^2)^alpha ,
where
r(x,y) = sqrt[x_new^2(1-epsilon)^2 + y_new^2]/(1-epsilon) ,
x_new = (x-x_o)cos(theta) + (y-y_o)sin(theta) ,
and
y_new = (y-y_o)cos(theta) - (x-x_o)sin(theta) .
beta2d Parameters
| 1 |
r0 |
core radius r_0 |
| 2 |
xpos |
x mean position x_o |
| 3 |
ypos |
y mean position y_o |
| 4 |
ellip |
ellipticity epsilon |
| 5 |
theta |
angle of ellipticity theta |
| 6 |
ampl |
amplitude A at (x_o,y_o) |
| 7 |
alpha |
power law index alpha |
- py.sherpa
-
atten,
bbody,
bbodyfreq,
beta1d,
box1d,
box2d,
bpl1d,
const1d,
const2d,
cos,
delta1d,
delta2d,
dered,
devaucouleurs2d,
edge,
erf,
erfc,
exp,
exp10,
gauss1d,
gauss2d,
hubblereynolds,
jdpileup,
linebroad,
log,
log10,
lorentz1d,
lorentz2d,
models,
normbeta1d,
normgauss1d,
poisson,
polynom1d,
polynom2d,
powlaw1d,
psf1d,
psf2d,
schechter,
sin,
sqrt,
stephi1d,
steplo1d,
tablemodel,
tan,
xs,
xsabsori,
xsacisabs,
xsapec,
xsbapec,
xsbbody,
xsbbodyrad,
xsbexrav,
xsbexriv,
xsbkn2pow,
xsbknpower,
xsbmc,
xsbremss,
xsbvapec,
xsc6mekl,
xsc6pmekl,
xsc6pvmkl,
xsc6vmekl,
xscabs,
xscemekl,
xscevmkl,
xscflow,
xscompbb,
xscompls,
xscompps,
xscompst,
xscomptt,
xsconstant,
xscutoffpl,
xscyclabs,
xsdisk,
xsdiskbb,
xsdiskline,
xsdiskm,
xsdisko,
xsdiskpbb,
xsdiskpn,
xsdust,
xsedge,
xsequil,
xsexpabs,
xsexpdec,
xsexpfac,
xsezdiskbb,
xsgabs,
xsgaussian,
xsgnei,
xsgrad,
xsgrbm,
xshighecut,
xshrefl,
xskerrbb,
xskerrd,
xslaor,
xslaor2,
xslorentz,
xsmeka,
xsmekal,
xsmkcflow,
xsnei,
xsnotch,
xsnpshock,
xsnsa,
xsnsagrav,
xsnsatmos,
xsnteea,
xspcfabs,
xspegpwrlw,
xspexrav,
xspexriv,
xsphabs,
xsplabs,
xsplcabs,
xsposm,
xspowerlaw,
xspshock,
xspwab,
xsraymond,
xsredden,
xsredge,
xsrefsch,
xssedov,
xssmedge,
xsspline,
xssrcut,
xssresc,
xssss_ice,
xsstep,
xstbabs,
xstbgrain,
xstbvarabs,
xsuvred,
xsvapec,
xsvarabs,
xsvbremss,
xsvequil,
xsvgnei,
xsvmcflow,
xsvmeka,
xsvmekal,
xsvnei,
xsvnpshock,
xsvphabs,
xsvpshock,
xsvraymond,
xsvsedov,
xswabs,
xswndabs,
xsxion,
xszbbody,
xszbremss,
xszdust,
xszedge,
xszgauss,
xszhighect,
xszpcfabs,
xszphabs,
xszpowerlw,
xszredden,
xszsmdust,
xsztbabs,
xszvarabs,
xszvfeabs,
xszvphabs,
xszwabs,
xszwndabs
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