Transmission
At the intersection point, in addition to the reflection ray and the shadow ray, you must follow the transmission ray (through the intersected object) to determine its color contribution to the intersection point.
Use an index of refraction of 1.0 for the air around your objects.
The transmission ray moves into the object from the original intersection point, refracted according to Snell’s Law; when it again intersects the surface of the object on its way out, it is refracted a second time.
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