Reconstruction of refractive index field of optically inhomogeneous medium by 2D Fourier filtering method

2020 ◽  
Author(s):  
Oleg A. Khlybov
Keyword(s):  
Refractive Index ◽  
Inhomogeneous Medium ◽  
Filtering Method ◽  
Fourier Filtering ◽  
Optically Inhomogeneous Medium

Novel, Fourier Filtering Method That Reuses Interference-Patterned Spectra to Extend the Calibration Set for Thickness Determination

2006 ◽  
Vol 60 (2) ◽  
pp. 162-167 ◽  
Author(s):  
Éva Jeszenszky ◽  
László Kocsányi ◽  
Attila Barócsi ◽  
Péter Richter
Keyword(s):  
Filtering Method ◽  
Thickness Determination ◽  
Fourier Filtering

Study of a Fast Windowed Fourier Filtering Method for Interference Fringes

2014 ◽  
Vol 34 (6) ◽  
pp. 0612008
Author(s):  
郭媛 Guo Yuan ◽  
毛琦 Mao Qi ◽  
陈小天 Cheng Xiaotian ◽  
王娜 Wang Na ◽  
赵丽娜 Zhao Lina
Keyword(s):  
Filtering Method ◽  
Interference Fringes ◽  
Fourier Filtering

LOW-FREQUENCY ACOUSTIC SCATTERING BY AN INHOMOGENEOUS MEDIUM

2005 ◽  
Vol 15 (10) ◽  
pp. 1459-1468 ◽  
Author(s):  
GEORGE VENKOV
Keyword(s):  
Refractive Index ◽  
Plane Wave ◽  
Inhomogeneous Medium ◽  
Acoustic Waves ◽  
Spherical Wave ◽  
Low Frequency ◽  
Far Field ◽  
Scattering Medium ◽  
Wave Incidence ◽  
Plane Wave Incidence

This paper deals with the scattering of time-harmonic acoustic waves by inhomogeneous medium. We study the problem to recover the near and the far field using a priori information about the refractive index and the support of inhomogeneity. The incident spherical wave is modified in such a way as to recover the plane wave incidence when the source point approaches infinity. Applying the low-frequency expansions, the scattering medium problem is reduced to a sequence of potential problems for the approximation coefficients in the presence of a monopole singularity located at the source of incidence. Complete expansions for the integral representation formula in the near field as well as for the scattering amplitude in the far field are provided. The method is applied to the case of a spherical region of inhomogeneity and a radial dependent refractive index. As the point singularity tends to infinity, the relative results recover the scattering medium problem for plane wave incidence.

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