Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

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

Not Accessible

Your library or personal account may give you access

Abstract

We present a local Gaussian beam decomposition method for calculating the scalar diffraction field due to a two-dimensional 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.

© 2013 Optical Society of America

Full Article  |  PDF Article
More Like This
Scalar diffraction field calculation from curved surfaces via Gaussian beam decomposition

Erdem Şahin and Levent Onural
J. Opt. Soc. Am. A 29(7) 1459-1469 (2012)

Three-dimensional converging–diverging Gaussian beam diffraction by a volume grating

Shun-Der Wu, Thomas K. Gaylord, Elias N. Glytsis, and Yu-Ming Wu
J. Opt. Soc. Am. A 22(7) 1293-1303 (2005)

Propagation of truncated Gaussian beams and their application in modeling sharp-edge diffraction

Norman G. Worku and Herbert Gross
J. Opt. Soc. Am. A 36(5) 859-868 (2019)

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 Optica member, or as an authorized user of your institution.

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

Figures (12)

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

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

Equations (25)

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

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved