Ocular surgery may alter the refraction and the corneal power of an eye. Ho
wever, refraction and corneal power are not fundamental optical properties
of the eye as such. Refraction is a fundamental property of a lens in front
of the eye and an indirect or derived property of the eye, while corneal p
ower is a fundamental property of only part of the eye. Nor are they the on
ly clinically relevant paraxial optical effects of surgery. There are also
effects on size, shape, and orientation of retinal images, for example, whi
ch are not simply related to refraction and corneal power. Quantitative ana
lyses of the effects of surgery on the eye that account only for refraction
and corneal power are necessarily incomplete. This paper offers an approac
h to the analysis of the optical effects of surgery that is complete Within
the limitations of paraxial optics. The key is the concept of the ray tran
sference, which contains the 4 fundamental optical properties of an optical
system. The surgery is represented by a hypothetical optical system, the a
nterior surgery-equivalent system, in front of the preoperative eye. The tr
ansference of this system, the anterior surgical transference, is a complet
e paraxial quantification of the optics of the surgery and is what needs to
be studied in analyses of surgery. In this approach, ocular surgery in gen
eral is optical equivalent to a thick system placed in front of the preoper
ative eye. A simple model is developed for the case of anterior segment sur
gery in particular. In terms of the model, anterior segment surgery is show
n to be equivalent to placing a thick bitoric lens in front of the preopera
tive eye. In particular cases, the surgery may be equivalent to an anterior
thin lens. Astigmatism is an aspect of optical effects in general. It is n
ot directly amenable to quantitative analysis in isolation; quantitative an
alyses of astigmatism should be done in terms of the concept of antistigmat
ism. In thin systems, astigmatism manifests only in power. However, in thic
k systems such as the eye, astigmatism can manifest in 4 fundamentally diff
erent ways. Among them are some phenomena currently described as irregular
astigmatism. The foundation is laid for the complete analysis of paraxial a
stigmatism in general and in ocular surgery in particular.