It is shown how the principles of simulated annealing can be incorporated into the Misell algorithm for phase retrieval. Simulations of phase retrieval from the infocus and defocused radiation patterns of a reflector antenna show that the solution can be refined in this way. Locking at local minima can be avoided and the accuracy limits set by the measurement errors can be reached. The price paid for a reliable and significant improvement in accuracy is at least an order of magnitude increase in computing.
References
-
-
1)
-
J.R. Fienup
.
(1984)
Comparison of phase retrieval algorithms, Advances in computer vision and image processing.
-
2)
-
S. Rees ,
R.C. Ball
.
Criteria for an optimum simulated annealing schedule for problems ofthetravelling salesman type.
J. Phy. A.:Math. Gen.
,
1239 -
1249
-
3)
-
S. Kirkpatrick ,
C.D. Gelatt ,
M.P. Vecchi
.
Optimization by simulated annealing.
Science
,
671 -
680
-
4)
-
M. Nieto-Vesperinas ,
J.A. Mendez
.
Phase retrieval by Monte Carlo methods.
Opt. Commun.
,
249 -
254
-
5)
-
O.M. Bucci ,
G. D'Elia ,
G. Leone ,
R. Pierri
.
Far-field computation from amplitude near-fielddata on two surfaces: cylindrical case.
IEE Proc. H
,
143 -
148
-
6)
-
N. Metropolis ,
A. Rosenbluth ,
M. Rosenbluth ,
A. Teller ,
E. Teller
.
Equation of state calculations by fast computing machines.
J. Chem. Phys.
,
1087 -
1092
-
7)
-
D. Morris
.
Phase retrieval in the radio holography of reflector antennas and radio telescopes.
IEEE Trans.
,
749 -
755
-
8)
-
Hills, R.E., Lasenby, A.N.: `Millimetre-wave metrology of the James Clark Maxwell telescope', 11th ESTEC antenna workshop on Antenna measurements, June 1988, Gothenburg, Sweden.
-
9)
-
H. Vogel
.
Das Temperaturabhandigkeitsgsetz der Viskositat von Flussigkeiten.
Phys. Z.
-
10)
-
W.O. Saxton
.
(1978)
Computer techniques for image processing in electron microscopy.
-
11)
-
T. Isernia ,
G. Leone ,
R. Pierri
.
Phaseless near field techniques: Uniqueness conditions andattainment of the solution.
J. Electromagn. Waves Appl.
,
7 ,
889 -
908
-
12)
-
G.S. Fulcher
.
Analysis of recent measurements of the viscosity of glasses.
Am. Ceram. Soc.
-
13)
-
D.L. Misell
.
A method for the solution of the phase problem in electron microscopy.
J. Phys. D. Appl. Phys.
,
L6 -
L9
-
14)
-
T. Isernia ,
R. Pierri ,
G. Leone
.
New technique for estimation of far field from near zonephaseless data.
Electron. Lett.
,
8 ,
652 -
654
-
15)
-
T. Isernia ,
G. Leone ,
R. Pierri
.
Phaseless near field techniques: Formulation of the problemand field properties.
J. Electromagn. Waves Appl.
,
7 ,
871 -
888
-
16)
-
Lasenby, A.N.: `Phase retrieval using HST images', Proceedings of workshop on Restoration of HST images andspectra, August 1991, Baltimore, p. 21–30.
-
17)
-
M. Nieto-Vesperinas ,
R. Navarro ,
F.J. Fuentes
.
Performance of a simulated-annealingalgorithm for phase retrieval.
J. Opt. Soc. Am.
,
30 -
38
-
18)
-
R.W. Gerchberg ,
W.O. Saxton
.
A practical algorithm for the determination of phase from image and diffraction plane pictures.
Optik
,
237 -
246
-
19)
-
Sivia, D.: 1987, PhD, University of Cambridge.
-
20)
-
D. Morris ,
J.H. Davis ,
C.E. Mayer
.
Experimental assessment of phase retrieval holographyof a radiotelescope.
IEE Proc. H
,
243 -
247
-
21)
-
R.W. Gerchberg
.
The lock problem in the Gerchberg-Saxton algorithm for phase retrieval.
Optik
,
91 -
92
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-map_19960446
Related content
content/journals/10.1049/ip-map_19960446
pub_keyword,iet_inspecKeyword,pub_concept
6
6