Relationship between the technique of integral equation and Kirchhoff approximation in scalar diffraction theory

2020 ◽  
Author(s):  
Grygorij S. Tymchik ◽  
Maryna V. Filippova ◽  
Oleg S. Bezverkhyi ◽  
Waldemar Wójcik ◽  
Bakhyt Yeraliyeva ◽  
...  
Keyword(s):  
Integral Equation ◽  
Diffraction Theory ◽  
Kirchhoff Approximation ◽  
Scalar Diffraction ◽  
Scalar Diffraction Theory

DIFFRACTION OF 3.2 CM. ELECTROMAGNETIC WAVES BY CYLINDRICAL OBJECTS

1954 ◽  
Vol 32 (6) ◽  
pp. 372-380 ◽  
Author(s):  
A. B. McLay ◽  
S. T. Wiles
Keyword(s):  
Electromagnetic Waves ◽  
Incident Beam ◽  
Diffraction Theory ◽  
Central Peak ◽  
Beam Direction ◽  
Cylinder Axis ◽  
Scalar Diffraction ◽  
Conducting Cylinder ◽  
Scalar Diffraction Theory ◽  
Diffraction Patterns

Diffraction patterns of a brass tube and a hard rubber rod, each a cylinder of 1 in. diameter, in a nearly plane beam of square-wave modulated 3 cm. waves with electric vector parallel to the cylinder axis, have been measured in several planes transverse to the incident beam direction. Experimental results for the conducting cylinder agree closely with calculations based on scalar diffraction theory. Patterns of the dielectric rod show a pronounced central peak immediately behind the rod and other intensity effects differing from the conducting cylinder patterns, particularly in the vicinity of the shadow.

scholarly journals Multidither coherent optical adaptive technique for deep tissue two-photon microscopy

2019 ◽  
Vol 12 (04) ◽  
pp. 1942003 ◽  
Author(s):  
Biwei Zhang ◽  
Wei Gong ◽  
Chenxue Wu ◽  
Lejia Hu ◽  
Xinpei Zhu ◽  
...  
Keyword(s):  
Adaptive Optics ◽  
Diffraction Theory ◽  
Fluorescence Signal ◽  
Two Photon Microscopy ◽  
Scalar Diffraction ◽  
Two Photon ◽  
Scalar Diffraction Theory ◽  
Adaptive Technique ◽  
Photon Imaging ◽  
Two Photon Imaging

Two-photon microscopy normally suffers from the scattering of the tissue in biological imaging. Multidither coherent optical adaptive technique (COAT) can correct the scattered wavefront in parallel. However, the determination of the corrective phases may not be completely accurate using conventional method, which undermines the performance of this technique. In this paper, we theoretically demonstrate a method that can obtain more accurate corrective phases by determining the phase values from the square root of the fluorescence signal. A numerical simulation model is established to study the performance of adaptive optics in two-photon microscopy by combining scalar diffraction theory with vector diffraction theory. The results show that the distortion of the wavefront can be corrected more thoroughly with our method in two-photon imaging. In our simulation, with the scattering from a 450-[Formula: see text]m-thick mouse brain tissue, excitation focal spots with higher peak-to-background ratio (PBR) and images with higher contrast can be obtained. Hence, further enhancement of the multidither COAT correction performance in two-photon imaging can be expected.

Testing scalar diffraction theory: Gaussian beam on a slit

2020 ◽  
Vol 37 (5) ◽  
pp. 752
Author(s):  
Luka Zurak ◽  
Velimir Labinac ◽  
Nataša Erceg ◽  
Ivica Aviani ◽  
Marko Jusup ◽  
...  
Keyword(s):  
Gaussian Beam ◽  
Diffraction Theory ◽  
Scalar Diffraction ◽  
Scalar Diffraction Theory

Diffracted radiance: a fundamental quantity in nonparaxial scalar diffraction theory: errata

2000 ◽  
Vol 39 (34) ◽  
pp. 6374 ◽  
Author(s):  
James E. Harvey ◽  
Cynthia L. Vernold ◽  
Andrey Krywonos ◽  
Patrick L. Thompson
Keyword(s):  
Diffraction Theory ◽  
Scalar Diffraction ◽  
Scalar Diffraction Theory ◽  
Fundamental Quantity
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