Editing Phase problem (section)

{{Short description|Issue in determining wave cycle part}}
In physics, the '''phase problem''' is the problem of loss of information concerning the [[phase (waves)|phase]] that can occur when making a physical measurement. The name comes from the field of [[X-ray crystallography]], where the phase problem has to be solved for the determination of a structure from [[diffraction]] data.<ref name=":0">{{Cite journal|last=Taylor|first=Garry|date=2003-11-01|title=The phase problem|journal=Acta Crystallographica Section D |volume=59|issue=11|pages=1881–1890|doi=10.1107/S0907444903017815|pmid=14573942|doi-access=free|bibcode=2003AcCrD..59.1881T }}</ref> The phase problem is also met in the fields of [[imaging science|imaging]] and [[signal processing]].<ref name=":1">{{Cite arXiv|last1=Shechtman|first1=Yoav|authorlink1=Yoav Shechtman|last2=Eldar|first2=Yonina C.|authorlink2=Yonina Eldar|last3=Cohen|first3=Oren|last4=Chapman|first4=Henry N.|authorlink4=Henry N. Chapman|last5=Miao|first5=Jianwei|authorlink5=Jianwei Miao|last6=Segev|first6=Mordechai|date=2014-02-28|title=Phase Retrieval with Application to Optical Imaging|class=cs.IT|eprint=1402.7350}}</ref> Various approaches of [[phase retrieval]] have been developed over the years.