Hi,
I was wondering about using something like a "wavefront curvature sensor" to measure stellar distances without requiring parallax:
The curvature of the wavefronts of light from stars is proportional to the distance to the star. As the light from a star travels it becomes more and more like a plane wave the further it travels:
A perfect plane wave wouldn't follow the inverse square law, but would propagate all energy in a directed beam like a perfect laser. A wavefront with low curvature would also not follow the inverse square law over a given distance, proportional to the curvature of the wavefront.
Is there a way to build an instrument that could detect the wavefront curvature accurately enough to deduce the stellar distance? I was thinking of using a pinhole to restrict the incoming light to a single star, and then measuring the intensity of the light 1 meter from the pinhole, but the pinhole itself will destroy the near planar wavefront curvature of the light.
Could a crystal be put in the output section of the pinhole to maintain the wavefront curvature of the star's light? If the light can be restricted to a single star and the wavefront curvature can be maintained, then it should be possible to find the distance based on the light intensity measured over a distance.
cheers, Jamie