Solution to reverse refraction problem

Details Solution to reverse refraction problem Solution to reverse refraction problem

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985rpeee....r...1p&link_type=abstract

In its USSR Report: Electronics and Electrical Engineering (JPRS-UEE-85-006) p 1 (SEE N86-15561 06-33) Transl. into ENGLISH f

Mathematics

Indexes (Ratios), Multistatic Radar, Planetary Atmospheres, Refractivity, Algorithms, Convergence, Fourier Transformation, Mathematical Models, Optimization

Scientific paper

The reverse refraction problem (determination of radial profile of refractive index in planetary atmospheres, such as Earth, from radio probe measurements) is formulated as a bistatic radar problem for a spherically symmetric medium. The modified refractive index n(r)r (a-radius at which the refraction angle as function of relative distance is measured) is assumed to reach extreme values at the upper boundary r sub 1 or at observation level. Before the corresponding Fredholm equation of the first kind can be solved, it must be well-conditioned in the Tikhonov sense. This is done here by two quasi-optimum integral transformation variants with respect to the measurement function and subsequent simplified regularization. The first method is two successive Fourier cosine transformations followed by an Abel transformation, with the possibility of discrete Fourier transformations and numerical Abel transformation. The second method is twofold discrete Fourier transformation. Both yield solutions readily evaluated by simple algorithms. Regularization is effected by approximating functions satisfying the two fundamental conditions for convergence required of the measurement function.

Affiliated with

Also associated with

No associations

Rating

Solution to reverse refraction problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Solution to reverse refraction problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solution to reverse refraction problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1290543