GPR imaging with mutual intensity

2017 ◽  
Author(s):  
Adam Webb ◽  
Timothy C. Havens ◽  
Timothy J. Schulz
Keyword(s):  
Mutual Intensity

Mutual-intensity lensless imaging system

1993 ◽  
Vol 18 (5) ◽  
pp. 394 ◽  
Author(s):  
Pang-chen Sun
Keyword(s):  
Imaging System ◽  
Lensless Imaging ◽  
Mutual Intensity

scholarly journals Energetic efficient synthesis of general mutual intensity distribution

2000 ◽  
Vol 2 (2) ◽  
pp. 83-87 ◽  
Author(s):  
Zeev Zalevsky ◽  
David Medlovic ◽  
Haldun M Ozaktas
Keyword(s):  
Intensity Distribution ◽  
Efficient Synthesis ◽  
Mutual Intensity

Elastic scattering of partially coherent beams of fast electrons by a crystal with a defect

1999 ◽  
Vol 55 (2) ◽  
pp. 289-304
Author(s):  
N. I. Borgardt
Keyword(s):  
Plane Waves ◽  
Large Angle ◽  
Matrix Elements ◽  
Bloch Waves ◽  
Fast Electrons ◽  
Angle Scattering ◽  
Coherent Beams ◽  
The Matrix ◽  
Mutual Intensity ◽  
Convergent Beam

Scattering of a quasi-monochromatic electron beam by a crystal with a defect is described with the use of the mutual coherency function and the formalism of quasi-Bloch waves. An expression correlating the mutual intensity on the exit and entrance surfaces of the crystal in terms of the scattering matrix has been found. The matrix elements are determined by a system of integro-differential equations, which have been obtained without using the column approximation. It has been shown that calculations of the matrix elements can be significantly simplified when the approximation of the small-angle scattering of quasi-Bloch waves by the defect displacement field is satisfied. Such an approximation can be applied in many cases, e.g. to a crystal with a dislocation. The mutual intensity on the crystal entrance surface has been found for the general case of defocused illumination. As an example of applying the new approach, expressions for the intensity in convergent-beam electron diffraction (CBED) and large-angle CBED (LACBED) patterns have been obtained. The LACBED patterns of a crystal with a dislocation have been simulated. It has been shown that the developed approach allows a more exact simulation of the LACBED than do the conventional approaches using the column approximation and the approximation of independent plane waves filling the illumination cone.

Image reconstruction by using the propagation law of mutual intensity

1976 ◽  
Vol 18 (4) ◽  
pp. 488-491 ◽  
Author(s):  
Sadayuki Ueha ◽  
Shigeru Oshima ◽  
Jumpei Tsujiuchi
Keyword(s):  
Image Reconstruction ◽  
Propagation Law ◽  
Mutual Intensity

A macroscopic theory of interference and diffraction of light from finite sources II. Fields with a spectral range of arbitrary width

1955 ◽  
Vol 230 (1181) ◽  
pp. 246-265 ◽  
Keyword(s):  
Correlation Function ◽  
Spectral Range ◽  
Wave Equations ◽  
Closed Surface ◽  
Intensity Function ◽  
Laplacian Operator ◽  
Macroscopic Theory ◽  
Mutual Intensity ◽  
Huygens Principle ◽  
Special Case

The results of part I of this investigation are generalized to stationary fields with a spectral range of arbitrary width. For this purpose it is found necessary to introduce in place of the mutual intensity function of Zernike a more general correlation function Γ ( ⁡ x 1 , x 2 , τ ) =< V ( ⁡ x 1 , t + τ ) V ∗ ⁡ ( x 2 , t ) > , which expresses the correlation between disturbances at any two given points P 1 (x 1 ), P 2 (x 2 ) in the field, the disturbance at P 1 being considered at a time τ later than at P 2 . It is shown that Г ˆ is an observable quantity. Expressions for Г ˆ in terms of functions which specify the source and the transmission properties of the medium are derived. Further, it is shown that in vacuo the correlation function obeys rigorously the two wave equations Γ ( ⁡ x 1 , x 2 , τ ) =< V ( ⁡ x 1 , t + τ ) V ∗ ⁡ ( x 2 , t ) > , where ∇ 2 3 is the Laplacian operator with respect to the co-ordinates ( x s , y s , z s ) of P s (x s ). Using this result, a formula is obtained which expresses rigorously the correlation between disturbances at P 1 and P 2 in terms of the values of the correlation and of its derivatives at all pairs of points on an arbitrary closed surface which surrounds P 1 and P 2 . A special case of this formula ( P 2 = P 1 , τ = 0) represents a rigorous formulation of the generalized Huygens principle, involving observable quantities only.

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