The quote you cite does not say refraction. It says rarefaction.
Refraction (of light) is when light bends because it transitions from one material to another -- say air to water.
I do not think people talk about shocks refracting -- if you have an example, please post it and ask specific questions about it.
I found this image of a refracted shock. Here, an explosion occurred at the 'Source' above the ground. The initial shock spreads out spherically. When the shock hits the ground, there is both a reflection from the surface of the earth -- and also a transmission of the shock into the earth.
The shock will travel differently through earth than through air -- at a minimum, the speed of sound in a solid (or liquid) is much different than the speed of sound in a gas.
While this is a fascinating problem, I don't think it is what you're actually interested in.
Rarefaction is a process of becoming more rare -- spreading out -- weakening. Shocks can interact in a way that they weaken one another.
Instead of using the words Rarefaction, I believe I usually use the term 'Expansion Fan'
Here is an image of two shocks interacting that cause an expansion fan -- I think this could also be called a rarefaction zone.
As some of the criticism alludes, this question shows that you've put in very little effort. You're asking the answerer (us) to do more effort than you did. That is generally bad form. It is much better for you to come to us with small specific details after you've conducted extensive study.
Also, I saw that you posted this in Physics Stack Exchange. I believe it is bad form to cross post identical posts at the same time.
Unfortunately, there is no 'Aerospace Engineering' stack exchange. For the most part, Aviation SE is willing to tolerate us asking and answering Aerospace Engineering questions here, but we do occasionally get asked 'Is this Aviation'?
That said, Physics SE is not the right place either.