In liquid-crystal elastomers, the simultaneous presence of rubber elas
ticity due to the crosslinked backbone chains and of optical birefring
ence due to the mesogens in the side chains lead to exceptional physic
al properties. An elastic deformation of the network influences the or
der of the mesogens and, therefore, the optical properties. A theory b
ased on a Landau-de Gennes expansion of the free energy is proposed. I
n the opaque polydomain phase, the local orientation is given by a com
promise between the external mechanical field and a local anchoring in
teraction. As the field is increased, it becomes energetically favorab
le for the mesogens to align parallel to the mechanical field, and a t
ransition to a transparent monodomain structure occurs. Results for th
e average orientation, the stress and the chain conformation are given
.