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Applied Prismatic and Reflective Optics by Dennis F. Vanderwerf

By Dennis F. Vanderwerf

From the early floor and polished prism points of glass lighthouse Fresnel lenses to trendy microreplicated versatile Fresnel lenses for sun concentrators, new purposes of prismatic optical elements for mild regulate are continuously being built. furthermore, thoughts using unmarried and compound prismatic and reflective optical parts are rising within the fields of metrology, polarization keep an eye on, projection platforms, illumination, and reveal lights, between others. state of the art multilayer optical coatings have enabled novel prism and reflector geometries to be built for particular services. The innovations and examples provided during this publication may still supply a very good heritage to research, assessment, and comprehend prismatic and reflector purposes defined within the literature. the cloth during this ebook may possibly motivate readers themselves to create novel and worthy units using prismatic and reflective optical components.

Contents

- Preface - creation and heritage - basic Prisms and Reflectors - Polarization homes of Prisms and Reflectors - really good Prism forms - Prism and reflect process layout, research, and Fabrication - a variety of Prism functions - Projection monitors - Microprismatic Arrays - Fresnel Lenses - Afterword - Index

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Example text

18(a) is useful for producing an erect and readable viewed image with a deviation angle δ = 90 deg. The square input aperture of side Ap is inclined at 45 deg to the z axis. 5168). There are two refractions and two reflections. Total internal reflection occurs at surface 2 (BC), while surface 3 (CD) must be coated with a reflective material. Surface AD is nonworking. The object plane 0 and the viewing plane 5 are in the positions shown, with the coordinate system origin on the central ray at the object plane.

B) Viewed image is displaced, rotated 180 deg, and readable. (c) Viewed image is displaced, deviated 90 deg, erect, and readable. (d) Viewed image is deviated by angles α and β, erect, and readable. coordinates using matrices. 59) where i = 1, 2, 3, . . , P is the perpendicular distance from surface i to the origin, and ρ is defined as in Eq. 53). Computation of the coordinate matrix C for a surface requires knowledge of the preceding surface coordinates and the direction cosines of the incident ray.

A ray incident normal to the entrance face exits the exit face at a 45-deg deviation angle. The deviation angle δ and the readability and rotation of a direct-view image can be predicted from the reflection matrix, assuming that there are no refractions. 5 deg). 13f) Considering no refraction at surface 1 or 2, Eq. 7071  1 0  . 14d) The prism reflection matrix R is then   −1 0 0 R = (R5 )(R4 )(R3 )(R2 ) =  0 −1 0 . 5 deg). Then, the direction cosines of the exit ray K x6 , Ky6 , Kz6 are     K x6  K x1   Ky6  = R  Ky1  .

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