Calculation of the scalar diffraction field from curved surfaces by decomposing the three-dimensional field into a sum of Gaussian beams

Simple item page
dc.citation.epage536en_US
dc.citation.issueNumber3en_US
dc.citation.spage527en_US
dc.citation.volumeNumber30en_US
dc.contributor.authorŞahin, E.en_US
dc.contributor.authorOnural, L.en_US
dc.date.accessioned2016-02-08T09:42:14Z
dc.date.available2016-02-08T09:42:14Z
dc.date.issued2013en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe present a local Gaussian beam decomposition method for calculating the scalar diffraction field due to a twodimensional field specified on a curved surface. We write the three-dimensional field as a sum of Gaussian beams that propagate toward different directions and whose waist positions are taken at discrete points on the curved surface. The discrete positions of the beam waists are obtained by sampling the curved surface such that transversal components of the positions form a regular grid. The modulated Gaussian window functions corresponding to Gaussian beams are placed on the transversal planes that pass through the discrete beam-waist position. The coefficients of the Gaussian beams are found by solving the linear system of equations where the columns of the system matrix represent the field patterns that the Gaussian beams produce on the given curved surface. As a result of using local beams in the expansion, we end up with sparse system matrices. The sparsity of the system matrices provides important advantages in terms of computational complexity and memory allocation while solving the system of linear equations.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T09:42:14Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2013en
dc.identifier.doi10.1364/JOSAA.30.000527en_US
dc.identifier.issn1084-7529
dc.identifier.urihttp://hdl.handle.net/11693/21164
dc.language.isoEnglishen_US
dc.publisherOptical Society of Americaen_US
dc.relation.isversionofhttps://doi.org/10.1364/JOSAA.30.000527en_US
dc.source.titleJournal of the Optical Society of America A: Optics and Image Science, and Visionen_US
dc.subjectDiffractionen_US
dc.subjectLinear systemsen_US
dc.subjectSurfacesen_US
dc.subjectThree dimensionalen_US
dc.subjectCurved surfacesen_US
dc.subjectDecomposition methodsen_US
dc.subjectDiscrete pointsen_US
dc.subjectGaussian windowen_US
dc.subjectLinear system of equationsen_US
dc.subjectScalar diffractionen_US
dc.subjectSystem of linear equationsen_US
dc.subjectTransversal planesen_US
dc.subjectGaussian beamsen_US
dc.titleCalculation of the scalar diffraction field from curved surfaces by decomposing the three-dimensional field into a sum of Gaussian beamsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Calculation of the scalar diffraction field from curved surfaces by decomposing the three-dimensional field into a sum of Gaussian beams.pdf
Size:
1.66 MB
Format:
Adobe Portable Document Format
Description:
Full printable version
Download

Collections

Scholarly Publications - Electrical and Electronics Engineering