By Oleg V. Angelsky
ISBN-10: 0819465348
ISBN-13: 9780819465344
This monograph examines chosen functions of the optical correlation ways and strategies in assorted difficulties of contemporary optics. those difficulties contain linear singular optics of monochromatic, absolutely spatially coherent mild fields; part singularities in polychromatic (white-light) optical fields; optical correlation thoughts for diagnostics of tough surfaces; and Mueller-matrix photographs of organic tissues and their statistical and fractal structures.
Contents
- Preface
- References
- advent to Linear Singular Optics
- Optical Correlation Diagnostics of part Singularities in Polychromatic Fields
- Optical Correlation ways in tough floor Characterization
- Statistical and Fractal constitution of organic Tissue Mueller Matrix Images
- References
- Index
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Extra resources for Optical Correlation Techniques and Applications
Example text
Hereafter, we refer to the charge of a C point as SC , and the index of this point as IC . In contrast to the charges and indices of the scalar singular points, these quantities take the values ±1/2. 24 The field fragment with s contour and a set of C points. The x and y component vortices are depicted along the s contour by Vx and Vy , respectively. 35 INTRODUCTION TO LINEAR SINGULAR OPTICS topologically unstable. Hereafter, we accept as true that the index and the charge of a C point take magnitudes of ±1/2 alone.
19. The field reconstructed on such a sampling is modulated by the function T 2 (r). To emphasize the radial symmetry of the modulating function, a white ring is inserted in the reconstructed image [Fig. 19(c)]. 19(b) illustrates the principle of formation of the shifted sampling. The shift of sampling coordinates is performed in directions of both the w-axis and the v-axis. Observe in Figs. 5lav . 75lav , [Fig. 19(f)], the dark area is observed at the center of the image. Only when the shifts exceed lav [Figs.
The Fourier approximation is too rough for analyzing a fine structure of the field, and we prefer to use a more general Fresnel approximation (see, for example, Ref. 53). Let us write a complex amplitude of the field U (x, y) at any distance z from the input plane within the domain corresponding to the Fresnel diffraction as U= 1 j kz e j λz U0 (x0 , y0 ) exp j k (x − x0 )2 + (y − y0 )2 2z where U0 (x0 , y0 ) is the boundary field. 28) 20 CHAPTER 1 To find the explicit form of U (x, y), we assume the area within which x0 , y0 change as being much less than the area within which x, y change.