TELECOMMUNICATIONS AND RADIO ENGINEERING - 2010 Vol. 69,
No 5 		 

 

 

 

The New Solution of the Ill-Posed Inverse Problems of Electromagnetic Waves Diffraction. 2. Simplified Inversion Formulas


A.Y. Perelman, & I.V. Bulavinscky
St. Petersburg State Forest Technical Academy, 5, Institutskyi Lane, St. Petersburg 194021, Russia
Address all correspondence to I.V. Bulavinscky E-mail: Bulavinscky@rambler.ru

K.S. Shifrin The Oregon State University, Oreg. USA (retired)

Abstract
The method to simplify general inversion formula have been developed. The obtained modifications are constructed in correspondence with the structure of the integral coefficient (IC). The most important Qs-model of the IC in described in detail. The typical examples confirm the advantage of the modified inversion formula.

KEY WORDS: inversion formula semianalitic regularization procedure, correct approximation



References
  1. Perelman, A.Y., Shifrin, K.S., and Bulavinscky, I.V., (2010), The New Solution of the Ill-Posed Inverse Problems of Electromagnetic Waves Diffraction. 1. General theory, Telecommunication and Radio Engineering (2010) (accepted).
  2. Wiener, N. and Paley, R., (1934), Fourier transform in the complex domain, American Mathematical Society, New York.
  3. Perelman, A.Y., (1991), Extinction and scattering by soft spheres. Appl. Opt., 30(4):475-484.
  4. Perelman, A.Y. and Punina, V.A., (1971), On the inversion of integral equation with the Fourier type kernel, Izv. Vuzov. Mathematics. 3:61-71 (in Russian).


pages 379-391

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