Doesn't have author picture field
I have not tried any of the following before, these are result of googling, so might not work.

I see two ways, hope any one helps you.


Solution might be as simple as using Apache Solr Image module, but not sure if it will work with user image.
The second needs custom coding, which will basically tell apache solr to index the image field uri and then add the uri field in your views and finally theme it as image using a custom template, Refer this for sample code.