Differential fourier transform technique for the inverse scattering problem

Koichi Shimizu, Akira Ishimaru

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


An inversion technique was developed for determining the size distribution of randomly distributed tenuous scatterers from the forward scattering pattern. This technique is applicable for 1-D, 2-D, and 3-D scatterers. It does not require matrix inversion or a priori knowledge of functional forms of the size distribution, and it takes advantage of the fast Fourier transform and digital filtering techniques in spectral analysis. A typical error for 10% noise was within a few percent in the estimation of Gaussian size distribution using 1024-point FFT. The usefulness of this technique in practice was shown in experiments with latex spheres and bacteria.

Original languageEnglish
Pages (from-to)3428-3433
Number of pages6
JournalApplied Optics
Issue number23
Publication statusPublished - 1990 Aug 10
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)
  • Electrical and Electronic Engineering


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