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By Donald C. O'Shea, Thomas J. Suleski, Alan D. Kathman, Visit Amazon's Dennis W. Prather Page, search results, Learn about Author Central, Dennis W. Prather,

This ebook presents the reader with the wide diversity of fabrics that have been mentioned in a sequence of brief classes awarded at Georgia Tech at the layout, fabrication, and checking out of diffractive optical components (DOEs). even if there aren't lengthy derivations or exact equipment for particular engineering calculations, the reader can be common and happy with uncomplicated computational concepts. this article isn't a ''cookbook'' for generating DOEs, however it may still supply readers with adequate info to evaluate even if this expertise would get advantages their paintings, and to appreciate the necessities for utilizing the ideas and methods provided through the authors.

Contents

- Preface
- Introduction
- Scalar Diffraction Theory
- Electromagnetic research of Diffractive Optical Elements
- Diffractive Lens Design
- layout of Diffraction Gratings
- creating a DOE
- Photolithographic Fabrication of Diffractive Optical Elements
- Survey of Fabrication thoughts for Diffractive Optical Elements
- trying out Diffractive Optical Elements
- software of Diffractive Optics to Lens Design
- extra functions of Diffractive Optical Elements
- Index

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Extra resources for Diffractive Optics: Design, Fabrication, and Test (Tutorial Texts in Optical Engineering. SPIE Press Monograph)

Example text

The N points must also adequately sample the output plane. (3) < (Zλ/D). The sampling interval must adequately resolve spatial frequencies in the output plane. These rules ensure adequate sampling when performing Rayleigh–Sommerfeld propagations using a computer. Propagation of wavefronts from diffractive structures can be modeled very well using this approach. FFT analysis is used throughout this text for finite wavefront propagation from diffractive structures to output planes. 6 The most straightforward example may be that of a linear blazed grating with depth d and period Λ (Fig.

10) is A Thus, the field u(x, y, z) in the plane z can be written as ∞ ∞ u(x, y, z) = −∞ −∞ A α β , exp 1 − α2 − β2 z λ λ × exp i2π β α x+ y λ λ α β d d . 13) The PWS model represented in Eq. 13) provides an efficient formulation for propagating diffracting fields from a source plane to a subsequent observation plane. Although the PWS is an efficient propagation method, it requires that the electric field values (both magnitude and phase) be specified in the source plane. Consequently, the accuracy of this plane-wave description is solely dependent on the accuracy of the electric field values as determined, or specified, in that plane.

The Fourier transform of the rect(x) function is sinc(q), so the transform of the unit cell [Eq. 28)] is the sum of two sinc functions with offset phase terms: 1 sin(πbq) 1 sin(πbq) exp(i2πqb/2) + exp(i2πφ) exp(−i2πqb/2). 30) In the case of the ideal binary phase grating, where φ = π, this simplifies to F(q) = F(q) = 1 sin(πbq) × [exp(iπbq) − exp(−iπbq)]. 32) which equals zero for all even values of m. For odd values of m, the diffraction efficiency from the grating is given by Eq. 32). This equation gives the efficiency values shown in Fig.

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