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{"id":27,"date":"2013-12-19T21:18:50","date_gmt":"2013-12-19T21:18:50","guid":{"rendered":"http:\/\/newrenaissanceinstitute.com\/press\/?page_id=27"},"modified":"2019-12-30T07:27:07","modified_gmt":"2019-12-30T07:27:07","slug":"fractional-fourier-optical-processing","status":"publish","type":"page","link":"https:\/\/newrenaissanceinstitute.com\/?page_id=27","title":{"rendered":"Fractional Fourier Optical Processing"},"content":{"rendered":"

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\n<\/a> $\"FracFourier-pic1\"$ <\/a><\/li>\n<\/ul>\n<\/div>\n

<\/p>\n

New Renaissance Institute\u2019s founder is credited as the first to discover and report the fractional Fourier transform properties of lenses described in the landmark text Fractional Fourier Transform with Applications in Optics and Signal Processing<\/i><\/u><\/a> (p.386) some five years prior to the independent engulfing rise of the topic to widespread attention beginning in 1993. This rarely-cited but occasionally recognized paper<\/u><\/a> was accepted for presentation only as poster session at the 1988 SPIE Spatial Light Modulator Conference. Many hundreds of papers, including dozens that have since become celebrated, have been subsequently published beginning in 1993, and the work of two leading individuals in this 1993-initiated fractional Fourier transform optics publication \u201cwave\u201d were awarded the 1998 Prize of the International Commission for Optics<\/u><\/a>.<\/p>\n

New Renaissance Institute has continued its work in fractional Fourier transforms in the contexts of formal mathematical operator theory, fractional Hilbert-space operators, the theory of Special Functions, computational imaging, electron microscopy, coherent optics, and visible-light imaging.
\nThe items below pertain to NRI\u2019s work in the area of fractional Fourier transforms in monolithic and other forms of optical computation engines. Related work in some of the underlying mathematics has been performed in roughly the same time frame at Bilkent University in Ankara, Turkey.<\/p>\n

NRI is pleased to have hosted summer interns from U.C. Santa Cruz and U.C. Irvine who provided laboratory work for us in this technology area.<\/p>\n

Issued Patents<\/h2>\n\n\n\n\n\t\n\n\t\n\t\n\t\n\t\n\t\n\t\n\t\n\t
Title<\/th> Patent Number<\/th> Application Number<\/th> Priority Dates<\/th> PDF<\/th> Text Only<\/th> Related Patents<\/th>\n<\/tr>\n<\/thead>\n
Programmable optical computing device employing LED array transducers, non-quadratic phase optical elements, and stacked light modulator elements <\/td> 8,792,167<\/td> 14\/019,284<\/td> 02\/25\/1999<\/td> PDF<\/a><\/td> Text <\/a><\/td> Fractional Fourier Optical Processing<\/a><\/td>\n<\/tr>\n
Monolithic or Hybrid Integrated Optical Information Processor Employing a Plurality of Controllable Optical Transfer Functions at Fractional Fourier Planes<\/td> 8,553,329<\/td> 13\/450,357<\/td> 02\/25\/1999<\/td> PDF<\/a><\/td> Text<\/a><\/td> Fractional Fourier Optical Processing<\/a><\/td>\n<\/tr>\n
Programmable Optical Computing Device Employing LED Array Transducers And Stacked Light Modulator Elements in Fractional Fourier Planes<\/td> 8,164,832<\/td> 13\/049,749<\/td> 02\/25\/1999<\/td> PDF<\/a><\/td> Text <\/a><\/td> Fractional Fourier Optical Processing<\/a><\/td>\n<\/tr>\n
Programmable Optical Processing Device Employing Stacked Controllable Phase-Shifting Elements in Fractional Fourier Planes<\/td> 7,911,698<\/td> 12\/560,327<\/td> 02\/25\/1999<\/td> PDF<\/a><\/td> Text <\/a><\/td> Fractional Fourier Optical Processing<\/a><\/td>\n<\/tr>\n
Programmable Optical Processing Device Employing Stacked Light Modulator Elements in Fractional Fourier Planes<\/td> 7,609,447<\/td> 11\/929,259<\/td> 02\/25\/1999<\/td> PDF<\/a><\/td> Text <\/a><\/td> Fractional Fourier Optical Processing<\/a><\/td>\n<\/tr>\n
Programmable Optical Processing Device Employing Multiple Controllable Light Modulator Elements in Fractional Fourier Transform Planes<\/td> 7,391,570<\/td> 11\/294,685<\/td> 02\/25\/1999<\/td> PDF<\/a><\/td> Text <\/a><\/td> Fractional Fourier Optical Processing<\/a><\/td>\n<\/tr>\n
Non-Positive-Definite Optical Filtering From Positive-Definite Transfer Functions<\/td> 6,972,905<\/td> 10\/656,342<\/td> 02\/25\/1999<\/td> PDF<\/a><\/td> Text <\/a><\/td> Fractional Fourier Optical Processing<\/a><\/td>\n<\/tr>\n
Image Processing Utilizing Non-Positive-Definite Transfer Functions Via Fractional Fourier Transform<\/td> 6,650,476<\/td> 09\/512,781<\/td> 02\/25\/1999<\/td> PDF<\/a><\/td> Text <\/a><\/td> Fractional Fourier Optical Processing<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n
Pending Published Applications<\/h2>\n\n\n\n\n\t
Title<\/td> Publication Number<\/td> Application Number<\/td> Priority Dates<\/td> Publish Date<\/td> PDF<\/td> Text Only<\/td> Related Patents<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n
Pending Unpublished Applications<\/h2>\n\n\n\n\n\t
Title<\/td> Application Number<\/td> Priority Dates<\/td> Related Patents<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n","protected":false},"excerpt":{"rendered":"
New Renaissance Institute\u2019s founder is credited as the first to discover and report the fractional Fourier transform properties of lenses described in the landmark text Fractional Fourier Transform with Applications in Optics and Signal Processing (p.386) some five years prior to the independent engulfing rise of the topic to widespread attention beginning in 1993. This rarely-cited but occasionally recognized paper was accepted for presentation only as poster session at the 1988 SPIE Spatial Light Modulator Conference. Many hundreds of papers, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"ngg_post_thumbnail":0},"_links":{"self":[{"href":"https:\/\/newrenaissanceinstitute.com\/index.php?rest_route=\/wp\/v2\/pages\/27"}],"collection":[{"href":"https:\/\/newrenaissanceinstitute.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/newrenaissanceinstitute.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/newrenaissanceinstitute.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/newrenaissanceinstitute.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=27"}],"version-history":[{"count":18,"href":"https:\/\/newrenaissanceinstitute.com\/index.php?rest_route=\/wp\/v2\/pages\/27\/revisions"}],"predecessor-version":[{"id":3411,"href":"https:\/\/newrenaissanceinstitute.com\/index.php?rest_route=\/wp\/v2\/pages\/27\/revisions\/3411"}],"wp:attachment":[{"href":"https:\/\/newrenaissanceinstitute.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=27"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}