AN INTEGRAL EQUATION FOR THE FIELD DISTRIBUTION WITHIN THE APERTURE PLANE OF A COAXIAL SENSOR

2016 ◽  
Vol 75 (7) ◽  
pp. 587-594 ◽  
Author(s):  
Ch. Lu ◽  
A. Yu. Panchenko ◽  
Mykola I. Slipchenko
Author(s):  
K. J. Daun ◽  
K. A. Thomson ◽  
F. Liu ◽  
G. J. Smallwood

This paper presents a method based on Tikhonov regularization for solving one-dimensional inverse tomography problems that arise in combustion applications. In this technique, Tikhonov regularization transforms the ill-conditioned set of equations generated by onion-peeling deconvolution into a well-conditioned set that is more stable to measurement errors that arise in experimental settings. The performance of this method is compared to that of onion-peeling and Abel three-point deconvolution by solving for a known field variable distribution from projected data contaminated with artificially-generated error. The results show that Tikhonov deconvolution provides a more accurate field distribution than onion-peeling and Abel three-point deconvolution, and is more stable than the other two methods as the distance between projected data points decreases.


1975 ◽  
Vol 53 (9) ◽  
pp. 869-873
Author(s):  
R. J. Spiegel ◽  
D. E. Young

In this paper the H integral equation is investigated for the problem of plane wave diffraction by a rectangular aperture cut into an infinite, perfectly conducting screen. The field distribution in the aperture is calculated by the application of the method of moments with point matching and pulse expansion functions. Various sized apertures are considered and the numerical stability of the solution is discussed.


Author(s):  
T. Yanaka ◽  
K. Shirota

It is significant to note field aberrations (chromatic field aberration, coma, astigmatism and blurring due to curvature of field, defined by Glaser's aberration theory relative to the Blenden Freien System) of the objective lens in connection with the following three points of view; field aberrations increase as the resolution of the axial point improves by increasing the lens excitation (k2) and decreasing the half width value (d) of the axial lens field distribution; when one or all of the imaging lenses have axial imperfections such as beam deflection in image space by the asymmetrical magnetic leakage flux, the apparent axial point has field aberrations which prevent the theoretical resolution limit from being obtained.


Author(s):  
M. Strojnik

Magnetic lenses operating in partial saturation offer two advantages in HVEM: they exhibit small cs and cc and their power depends little on the excitation IN. Curve H, Fig. 1, shows that the maximal axial flux density Bz max of one of the lenses investigated changes between points (3) and (4) by 5% as the excitation varies by 40%. Consequently, the designer can relax the requirements concerning the stability of the lens current supplies. Saturated lenses, however, can only be used if (i) unwanted fields along the optical axis can be controlled, (ii) 'wobbling' of the optical axis due to inhomogeneous saturation around the pole piece faces is prevented, (iii) ample ampere-turns can be squeezed into the space available, and (iv) the lens operating point covers a sufficient range of accelerating voltages.


Sign in / Sign up

Export Citation Format

Share Document