Cheshire Cat 2 nfw using ABCEGZ images
- jackychc
- Aug 2, 2019
- 2 min read
In this model, I use all ABCEGZ images identified as constrain. With 2 nfw ,2 jaffe and 1 layer for all cluster members.
All lensed images used are shown here:

In this run, mass of nfw, jaffe and cluster members is free parameter, and assume no correlation between these masses.
Position of nfw are also free parameter, relevant restrictions applied to model in order to put one nfw in the left and another in the right.
position of jaffe is fixed according to light.
Redshift of EGZ system is also free parameter, however, it is restricted to following:
system E ; center at z=2.198, 1 sigma of 0.1
system G: center at z=2.02, 1 sigma of 0.2
system Z: center at z=1.38, 1 sigma of 0.2
The resulting mass map is the following:

Position of left nfw halo is 1 arcsec right of left eye and 0.2 arcsec lower
Position of right nfw halo is 0.6 arcsec left of right eye and 0.2 arcsec lower.
Left nfw is around 10% more massive than right nfw, it is also similar for jaffe.
i.e. nfw haloes are closer to center than light component.
Model calculated redshift for
E : z= 2.2813
G: z=2.2688
Z: z=1.3555
Critical curve for system A: as expected.

delens relens results:
A1:

a2:

A3:

They all have a satisfactory delens-relens result
Source Dispersion: 0.1008 arcsec
For system B:
Critical curve:

Delens-relens result:
B1: no mirror image to the right (as seen in 2nfw first run) , shows this model is superior to the first run of 2 nfw model.

Left arc for B:
model predict a long arc, B3c is a candidate of counterimage for left arc.

top right arc of B:
satisfactory delens-relens result, with candidate B12c.

lower right arc of B:
similar to above.

source dispersion is all below 0.04 arcsec in this system [ 0.0183, 0.034, 0.0076 ] respectively.
Source C:
Critical curve:
Note : there are further discussion on systemC , and in that discussion, I used this model to delens-relens

Delens Relens :
C1a: reproduce C1b ; the long arc predicted is due to inclusion of arc in delensing -relensing. which is not part of C1a

C1b:
reproducing C1a as expected

C2a:
Reproduce C2b , predict C2d and C2c

C2d SED is similar to C2a and C2b except in filter 606nm. and C2c is too dim

C2b:
similar result as above

C3: which is the whole thing (counterimage) at the top
Reproduce arc, some components below the main arc, and C1a

There are more discussion on system C in the other post. link above
Source dispersion: 0.0141 and 0.0146 arcsec. Very good.
System E:
Critical curve:

E1

E2

E3

all very good delens-relens result
source dispersion of E is 0.0732 arcsec
For G:
critical curve for G

G1

G2

G3:

Source dispersion : 0.033 arcsec
Source Z:

Z1:

Z2:

Source Dispersion: 0.0714 arcsec
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