relline, relline_lp, relline_lp_ext: relativistic accretion disk line emission with different geometries

Model for the relativistically-broadened emission line from an accretion disk around a black hole. The basic code is described in Dauser et al. (2010) and the extension to lamp post geometries in Dauser et al. (2013).

The parameters for relline are :

par1	lineE: rest frame line energy (keV)
par2	Index1: emissivity index for the inner disk
par3	Index2: emissivity index for the outer disk
par4	Rbr: break radius separating the inner and outer portions of the disk (gravitational radii)
par5	a: dimensionless black hole spin
par6	Incl: disk inclination angle to the line of sight (degrees)
par7	Rin: inner radius of the disk in units of the radius of marginal stability
par8	Rout: outer radius of the disk in units of the radius of marginal stability
par9	z: redshift
par10	limb: limb-darkening/-brightening law with 0=isotropic, 1=darkening (flux 1+2.06mu), 2=brightening (flux ln(1+1/mu)) where mu=cos(emission angle)
norm	flux in line (photons/cm$^2$/s)

The parameters for rellinelp are :

par1	lineE: rest frame line energy (keV)
par2	h: height of the primary source (GM/c2)
par3	a: dimensionless black hole spin
par4	Incl: disk inclination angle to the line of sight (degrees)
par5	Rin: inner radius of the disk in units of the radius of marginal stability
par6	Rout: outer radius of the disk in units of the radius of marginal stability
par7	z: redshift
par8	limb: limb-darkening/-brightening law with 0=isotropic, 1=darkening (flux 1+2.06mu), 2=brightening (flux ln(1+1/mu)) where mu=cos(emission angle)
par9	gamma: power-law index of the primary source (E-gamma)
norm	flux in line (photons/cm$^2$/s)

and the parameters for rellinelpext are :

par1	lineE: rest frame line energy (keV)
par2	a: dimensionless black hole spin
par3	Incl: disk inclination angle to the line of sight (degrees)
par4	Rin: inner radius of the disk in units of the radius of marginal stability
par5	Rout: outer radius of the disk in units of the radius of marginal stability
par6	z: redshift
par7	limb: limb-darkening/-brightening law with 0=isotropic, 1=darkening (flux 1+2.06mu), 2=brightening (flux ln(1+1/mu)) where mu=cos(emission angle)
par8	gamma: power-law index of the primary source (E-gamma)
par9	hbase: lower height of radially extended primary source
par10	htop: upper height of radially extended primary source
par11	vbase: velocity of the source at hbase
par12	v100: velocity of the source at 100 rg above hbase
norm	flux in line (photons/cm$^2$/s)