Cheshire Cat, improved model v2r12a

Hi tom and jeremy,

here I present you the improved model for cheshire cat.

This model, has a ellipticity of around 0.4 in both eye, the contour plot here shows the mass distribution

The left eye is elongated in east-west and right eye is elongated in north-south direction

Radial mass profile is the following :

Delens relens result of the 3 spec-z system:

system A

For Delens relens of A1: It reproduce all A1, A2 and A3 without obvious positional disagreement. It predicts a dim image near left eye.

Delens relens of A2: Reproduced A1 image shifted leftward from the observed position by around 0.5 arcsec ; furthermore, reproduced A3 image extends further.

Delens relens of A3 : reproduced A1 image extends from the observed position by 0.5 arcsec. no further positional disagreement

Critical Curve of system A is here, this system has spec-z of 2.198

Geo-z is same to Spec-z, source dispersion is 0.067 arcsec

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System B:

Delens-Relens of B1

Positional Agreement of B1 has increased significantly compare to previous models. There is no obvious positional disagreement in relens of B1

Delens-relens of B2:

Positional agreement of B2 is still marginally good. Relens of B2 predicts B3 image extend northward beyond observed B3 position.

Furthermore, Predicted B1 position is shifted northward. Is it possible that we are only observing a small part of system B in B2 and B3 position? hence producing inaccurate model result? (based on the difference in morphology between B1 and the other two images)

Critical Curve of system B,

Geo-z of Source B is 0.8, spec-z is 0.9657, at spec-z the dispersion is 0.342 arcsec. Provided that we are observing part of an extended object in B2 and B3, can we tolerate a higher dispersion?

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System C:

Delens-Relens of C1:

No positional disagreement in C1

Delens-Relens of C2:

a 0.1-0.2 arcsec disagreement in position of C3 , no other positional disagreement.

Delens-Relens of C3

a 0.1-0.2 arcsec positional disagreement in brightest spot of C2.

Critical curve of system C,

Geo-z of Source C is 2.28, Spec-z is 2.783, at spec-z dispersion is 0.37 arcsec. given that it is an extended object of 0.5 arcsec. can we tolerate this dispersion?

Please tell me what you think !

Additional info:

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For System J, geo-z is 2.18 with dispersion of 0.02 arcsec. (Previous model geo-z is 2.21)

Delens-relens of J1 at z=2.18 shows the following:

extension of J1 that we didn't observe; accurately reproducing J2. predict an dim counterimage left of the left eye.

Delens-relens of J2 :

Accurately reproduce J1 and J2, but still show dim counterimage.

Critical curve of system J is here:

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System AB and Nose:

geo-z calculated is 0.8, with dispersion of 0.06 arcsec. in previous model it is 0.93 with 0 dispersion (however in previous model, it produces a counterimage that doesnot exist.)

Delens Relens of Nose shows good positional agreement, and a very dim counterimage next to the right eye

Delens Relens of AB also shows good positional agreement

Critical Curve of this system

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System K2, M1

Previous model predict geo-z of 2.03, this model predict geo-z of 2.75 with dispersion of 0.11 arcsec

Delens relens produce good positional agreement on identified counterparts.

it also predict an counterimage toward to top

Could the counterimage be this one? (see below) the region marked has something observed, the positional difference is around 1 arcsec.

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At last :

It will try to use B3-G1-H1 system as a constrain.

with geo-z 2.02, and dispersion of 0.1 arcsec at that redshift.

However, It shows multiple counter images near the centre, I will run galfic with system later to see if model can be modified such that there's only 1 counterimage in the centre.

Relens of H1

Relens of G1: