广义螺旋相板形成给定曲线的传输函数的计算

IF 1 Q4 OPTICS

Optical Memory and Neural Networks Pub Date : 2024-12-11 DOI:10.3103/S1060992X24700280

A. V. Ustinov, V. I. Logachev, S. N. Khonina

{"title":"广义螺旋相板形成给定曲线的传输函数的计算","authors":"A. V. Ustinov, V. I. Logachev, S. N. Khonina","doi":"10.3103/S1060992X24700280","DOIUrl":null,"url":null,"abstract":"<p>We consider the inverse diffraction problem for a generalized spiral phase plate. For a given luminous curve in the focal plane, the transmission function of the plate forming this curve is calculated. It is assumed that the curve is specified analytically in polar coordinates in the form of an explicit dependence of the radius on the angle. We give the conditions imposed on the curve under which the problem certainly has a solution. Also there are examples of solving the direct problem when curves that do not satisfy these conditions are formed.</p>","PeriodicalId":721,"journal":{"name":"Optical Memory and Neural Networks","volume":"33 1 supplement","pages":"S34 - S42"},"PeriodicalIF":1.0000,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Calculation of the Transmission Function of a Generalized Spiral Phase Plate to Form a Given Curve\",\"authors\":\"A. V. Ustinov, V. I. Logachev, S. N. Khonina\",\"doi\":\"10.3103/S1060992X24700280\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We consider the inverse diffraction problem for a generalized spiral phase plate. For a given luminous curve in the focal plane, the transmission function of the plate forming this curve is calculated. It is assumed that the curve is specified analytically in polar coordinates in the form of an explicit dependence of the radius on the angle. We give the conditions imposed on the curve under which the problem certainly has a solution. Also there are examples of solving the direct problem when curves that do not satisfy these conditions are formed.</p>\",\"PeriodicalId\":721,\"journal\":{\"name\":\"Optical Memory and Neural Networks\",\"volume\":\"33 1 supplement\",\"pages\":\"S34 - S42\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-12-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optical Memory and Neural Networks\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S1060992X24700280\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optical Memory and Neural Networks","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S1060992X24700280","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPTICS","Score":null,"Total":0}

引用次数: 0

摘要

研究广义螺旋相板的反衍射问题。对于焦平面上给定的发光曲线，计算形成该曲线的光板的透射函数。假设曲线在极坐标系中以半径对角度的显式依赖形式解析指定。我们给出曲线上的条件，在这些条件下问题肯定是有解的。也有求解不满足这些条件的曲线的直接问题的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Calculation of the Transmission Function of a Generalized Spiral Phase Plate to Form a Given Curve

查看原文本刊更多论文

Calculation of the Transmission Function of a Generalized Spiral Phase Plate to Form a Given Curve

We consider the inverse diffraction problem for a generalized spiral phase plate. For a given luminous curve in the focal plane, the transmission function of the plate forming this curve is calculated. It is assumed that the curve is specified analytically in polar coordinates in the form of an explicit dependence of the radius on the angle. We give the conditions imposed on the curve under which the problem certainly has a solution. Also there are examples of solving the direct problem when curves that do not satisfy these conditions are formed.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Optical Memory and Neural Networks OPTICS-

CiteScore

1.50

自引率

11.10%

发文量

期刊介绍： The journal covers a wide range of issues in information optics such as optical memory, mechanisms for optical data recording and processing, photosensitive materials, optical, optoelectronic and holographic nanostructures, and many other related topics. Papers on memory systems using holographic and biological structures and concepts of brain operation are also included. The journal pays particular attention to research in the field of neural net systems that may lead to a new generation of computional technologies by endowing them with intelligence.