### Abstract

- Top of page
- Abstract
- 1. Introduction
- 2. Atmospheric Radio Occultation
- 3. Applicability of the Abel Transform to the Radio Occultation Technique
- 4. Radon Transform
- 5. Radon and Abel Transform Equivalence for Radio Occultation
- 6. Discussion and Conclusion
- Appendix A
- References

[1] The Radon Transform plays a central role in the image reconstruction technique known as computed tomography, used commonly in radio astronomy and medical imaging. Although usually formulated as a projection of a spatial density function along straight ray paths, the Radon Transform kernel also permits curved path projections, providing the path can be defined. Reformulation of the Radon Transform as a path integral for the case of a radio ray refracting in a spherically symmetric atmosphere leads directly to the Abel Transform formulation commonly used in atmospheric radio occultation.