phase maps of the fringe patterns.pdf
TRANSCRIPT
8/13/2019 Phase maps of the fringe patterns.pdf
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The phase maps along with the images generated in the process of obtaining them have been
presented in the following pages. (PATTERN - 1).
Fig.1 – Original fringe pattern Fig.2 – After applying HT once Fig.3 – After applying HT again
Fig.4 – Figure obtained after negating Fig.5 – Required phase map got by im-
the image obtained after applying HT plementing the formula
for a second time
Clearly from the diagrams presented above it can be seen that the application of HT on the first
instance on the original pattern there is a division line along the horizontal waist line which marks asort of zone reversal (easily noticeable if we focus on the central round fringe in fig.2).Apart fromthis the most obvious difference is the superior quality of the contrasting features incorporated in the
pattern after the application of HT. Now in order to draw our phase map it is only necessary to apply
the HT only once but I have done it twice to demonstrate a very interesting feature of the entireexercise that is the negated image of the image obtained after applying HT twice on a particularfringe pattern gives us our original pattern in its exactness (the only difference being an improved
contrast). To demonstrate this more clearly I have aligned the two said images side by side below.
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The corresponding images for the other fringe patterns are as follows :-
FRINGE PATTERN – 2 (DIAGRAMS)
Fig.6 – Original fringe pattern Fig.7 – After applying HT once Fig.8 – After applying HT again
Fig.9 – Figure obtained after negating Fig.10 – Required phase map got by im-
the image obtained after applying HT plementing the formula
for a second time
Comparison of figure-6 and 9 :-
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FRINGE PATTERN – 3 (DIAGRAMS)
Fig.11 – Original fringe pattern Fig.12 – After applying HT once Fig.13 – After applying HT again
Fig.14 – Figure obtained after negating Fig.15 – Required phase map got by im-
the image obtained after applying HT plementing the formula
for a second time
Comparison of figure – 11 and 14 :-
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FRINGE PATTERN – 4 (DIAGRAMS)
Fig.16 – Original fringe pattern Fig.17 – After applying HT once Fig.18 – After applying HT again
Fig.19 – Figure obtained after negating Fig.20 – Required phase map got by im-
the image obtained after applying HT plementing the formula
for a second time
Comparison of figure – 16 and 19 :-
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FRINGE PATTERN – 7 (DIAGRAMS)
Fig.21 – Original fringe pattern Fig.22 – After applying HT once Fig.23 – After applying HT again
Fig.24 – Figure obtained after negating Fig.25 – Required phase map got by im-
the image obtained after applying HT plementing the formula
for a second time
Comparing the figure – 21 and 24 :-
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FRINGE PATTERN – 8 (DIAGRAMS)
Fig.26 – Original fringe pattern Fig.27 – After applying HT once Fig.28 – After applying HT again
Fig.29 – Figure obtained after negating Fig.30 – Required phase map got by im-
the image obtained after applying HT plementing the formula
for a second time
Comparing figure – 26 and 29 :-
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FRINGE PATTERN – 9 (DIAGRAMS)
Fig.31 – Original fringe pattern Fig.32 – After applying HT once Fig.33 – After applying HT again
Fig.34 – Figure obtained after negating Fig.35 – Required phase map got by im-
the image obtained after applying HT plementing the formula
for a second time
Comparing figure – 31 and 34 :-
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MATLAB programme used : -
a=imread('Picture1.jpg')
imshow(a) b=hilbert(a)c=imag(b)
imshow(c)d=hilbert(c)
e=imag(d)imshow(e)
neg_e=(-1)*eimshow(neg_e)n1=double(a);
n2=double(c);
d1=rdivide(n2,n1); phase1=atan(d1);imshow(phase1)