Abstract

An irreducible support is one that ensures a unique solution to the phase problem without requiring that it be explicitly imposed as a reconstruction constraint. However, the only nontrivial support that has been shown to be irreducible is Eisenstein’s support. Herein a general description of support irreducibility is developed for discrete functions, both over positive, real and over complex numbers. In addition, a method of testing an arbitrary support of finite extent for irreducibility is introduced, and a number of simple irreducible supports are presented that are not of the Eisenstein type.

© 1987 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Embedability theory of two-dimensional supports, with applications

Zou Mou-yan and Rolf Unbehauen
J. Opt. Soc. Am. A 13(2) 243-252 (1996)

Unique phase retrieval with explicit support information

B. J. Brames
Opt. Lett. 11(2) 61-63 (1986)

Phase retrieval for discrete functions with support constraints

Thomas R. Crimmins
J. Opt. Soc. Am. A 4(1) 124-134 (1987)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (55)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription