Representation of random optical wave phase in the basis of eigenfunctions of phase correlation function

2002 ◽  
Author(s):  
Yusup N. Isaev ◽  
Elena V. Zakharova
Keyword(s):  
Correlation Function ◽  
Phase Correlation ◽  
Optical Wave ◽  
Wave Phase

OPTICAL COHERENCE OF A SCALAR WAVE INFLUENCED BY FIRST-ORDER AND SECOND-ORDER STATISTICS OF ITS RANDOM PHASE

2008 ◽  
Vol 08 (02) ◽  
pp. L107-L123 ◽  
Author(s):  
FRANÇOIS CHAPEAU-BLONDEAU ◽  
DENIS GINDRE ◽  
RÉGIS BARILLÉ ◽  
DAVID ROUSSEAU
Keyword(s):  
Order Statistics ◽  
Phase Distribution ◽  
Random Phase ◽  
Second Order ◽  
Phase Correlation ◽  
Partial Coherence ◽  
Scalar Wave ◽  
Optical Wave ◽  
Second Order Statistics ◽  
First Order

We analyze a simple model of a scalar optical wave with partial coherence. The model is devised to describe the influence on the coherence of the wave, of the statistical properties of its random phase, including both the second-order statistics (phase correlation) — which is classic, but also the first-order statistics (phase distribution) — which is nonclassic. Expectedly, upon increasing the disorder of the fluctuating phase through a reduction of its correlation duration, the model shows that the coherence of the wave is always reduced. By contrast, upon increasing the disorder of the fluctuating phase through an increase of its dispersion, the model reveals that the coherence of the wave can sometimes be enhanced. This beneficial consequence of an increase in disorder is related to the phenomenon of stochastic resonance or improvement by noise in signal processing.

Phase correlation function of liquid crystal-polymer composites

2008 ◽  
Author(s):  
P. P. Maksymyak ◽  
A. L. Negrych ◽  
L. O. Dolgov ◽  
O. V. Yaroshchuk
Keyword(s):  
Correlation Function ◽  
Liquid Crystal ◽  
Polymer Composites ◽  
Liquid Crystal Polymer ◽  
Phase Correlation ◽  
Crystal Polymer

A high-speed quasi-optical wave phase switch based on the induced photoconductivity effect in silicon

2007 ◽  
Vol 33 (9) ◽  
pp. 735-737 ◽  
Author(s):  
A. A. Vikharev ◽  
G. G. Denisov ◽  
Vl. V. Kocharovskiĭ ◽  
S. V. Kuzikov ◽  
V. V. Parshin ◽  
...  
Keyword(s):  
High Speed ◽  
Optical Wave ◽  
Wave Phase

scholarly journals Phase correlation functions: FFT vs. FHT

ACTA IMEKO ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 87 ◽  
Author(s):  
Giuseppe Schirripa Spagnolo ◽  
Lorenzo Cozzella ◽  
Fabio Leccese
Keyword(s):  
Image Processing ◽  
Fourier Transform ◽  
Correlation Function ◽  
Pattern Matching ◽  
Phase Correlation ◽  
Critical Element ◽  
Hartley Transform ◽  
Subpixel Accuracy ◽  
2D Fft ◽  
Good Substitute

<p><span lang="EN-GB">The ability to process an image is a crucial skill in many measurement activities. In image processing or pattern recognition, Fast Fourier Transform (FFT) is widely used. In particular, the Phase Only Correlation (POC) method demonstrates high robustness and subpixel accuracy in pattern matching. However, there is a disadvantage in the required memory machine because of the calculation of 2D-FFT. In applications in which the use of memory is a critical element, Fast Hartley Transform (FHT) seems to be a good substitute. In this context, the use of Hartley’s transform can be of interest for apps implemented on portable systems e.g. smartphones. In this article, we present a comparison of the implementations of the phase correlation function using FFT and FHT. Particular attention is given to the analytical steps necessary to implement the POC by means of the Hartley transform.</span></p>

Optical wave phase fluctuations

1981 ◽  
Vol 20 (1) ◽  
pp. 121 ◽  
Author(s):  
V. P. Lukin ◽  
V. V. Pokasov
Keyword(s):  
Optical Wave ◽  
Phase Fluctuations ◽  
Wave Phase
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