PMID- 19037403 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20090219 LR - 20190902 IS - 1084-7529 (Print) IS - 1084-7529 (Linking) VI - 25 IP - 12 DP - 2008 Dec TI - Computation theory of partially coherent imaging by stacked pupil shift matrix. PG - 3111-9 AB - A theory of partially coherent imaging is presented. In this theory, a singular matrix P is introduced in a spatial frequency domain. The matrix P can be obtained by stacking pupil functions that are shifted according to the illumination condition. Applying singular-value decomposition to the matrix P generates eigenvalues and eigenfunctions. Using eigenvalues and eigenfunctions, the aerial image can be computed without the transmission cross coefficient (TCC). A notable feature of the matrix P is that the relationship between the matrix P and the TCC matrix T is T=P(dagger)P, where dagger represents the Hermitian conjugate. This suggests that the matrix P can be regarded as a fundamental operator in partially coherent imaging. FAU - Yamazoe, Kenji AU - Yamazoe K AD - Canon Inc., 23-10, Kiyohara-Kogyo-danchi, Utsunomiya-shi, Tochigi-ken, 321-3298, Japan. kenjiy@eecs.berkeley.edu LA - eng PT - Journal Article PL - United States TA - J Opt Soc Am A Opt Image Sci Vis JT - Journal of the Optical Society of America. A, Optics, image science, and vision JID - 9800943 EDAT- 2008/11/28 09:00 MHDA- 2008/11/28 09:01 CRDT- 2008/11/28 09:00 PHST- 2008/11/28 09:00 [pubmed] PHST- 2008/11/28 09:01 [medline] PHST- 2008/11/28 09:00 [entrez] AID - 175044 [pii] AID - 10.1364/josaa.25.003111 [doi] PST - ppublish SO - J Opt Soc Am A Opt Image Sci Vis. 2008 Dec;25(12):3111-9. doi: 10.1364/josaa.25.003111.