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*It seems that you're in Germany. We have a dedicated site for Germany. This book computes the first- and second-order derivative matrices of skew ray and optical path length, while also providing an important mathematical tool for automatic optical design.*

## Advanced Geometrical Optics

Barry Johnson, Contemporary Physics, Vol. Skip to main content Skip to table of contents. Advertisement Hide. This service is more advanced with JavaScript available. Advanced Geometrical Optics. Front Matter Pages i-xxiv. Front Matter Pages Mathematical Background. Pages Skew-Ray Tracing of Geometrical Optics.

Geometrical Optical Model. Raytracing Equations for Paraxial Optics. Cardinal Points and Image Equations. Ray Aberrations. Prism Analysis. Prism Design Based on Image Orientation.

Optically Stable Systems. Wavefront Aberration and Wavefront Shape. Hessian Matrix of Optical Path Length. Back Matter Pages About this book Introduction This book computes the first- and second-order derivative matrices of skew ray and optical path length, while also providing an important mathematical tool for automatic optical design.

This book consists of three parts. Part One reviews the basic theories of skew-ray tracing, paraxial optics and primary aberrations — essential reading that lays the foundation for the modeling work presented in the rest of this book.

Part Two derives the Jacobian matrices of a ray and its optical path length. Although this issue is also addressed in other publications, they generally fail to consider all of the variables of a non-axially symmetrical system.

The modeling work thus provides a more robust framework for the analysis and design of non-axially symmetrical systems such as prisms and head-up displays. Lastly, Part Three proposes a computational scheme for deriving the Hessian matrices of a ray and its optical path length, offering an effective means of determining an appropriate search direction when tuning the system variables in the system design process. About the authors Dr. He earned his BS and MS from that university in and , respectively.

He received his Ph. He has served as an associate editor of Journal of the Chinese Society of Mechanical Engineers since He has published over 80 papers and supervised over 60 MS and 11 Ph.

His research interests include geometrical optics and error analysis in multi-axis machines. In geometrical optics, he employs homogeneous coordinate notation to compute the first- and second-order derivative matrices of various optical quantities. It is one of the important mathematical tools for automatic optical design. Buy options.

## Geometrical Optics and Optical Design

Geometrical optics , or ray optics , is a model of optics that describes light propagation in terms of rays. The ray in geometric optics is an abstraction useful for approximating the paths along which light propagates under certain circumstances. Geometrical optics does not account for certain optical effects such as diffraction and interference. This simplification is useful in practice; it is an excellent approximation when the wavelength is small compared to the size of structures with which the light interacts. The techniques are particularly useful in describing geometrical aspects of imaging , including optical aberrations.

Shack, Roland V. Last reviewed: June The geometry of light rays and their images, through optical systems. Geometrical optics is by far the oldest model proposed for accounting for the behavior of light, going back to classical Greece. It was not until around the beginning of the nineteenth century that the wave nature of light was seriously considered, and in the modern view of the nature of light, geometrical optics as a fundamentally correct model is simply wrong. In spite of this geometrical optics is remarkably robust, remaining as a most practical tool in the solution of optical problems.

Contains a comprehensive introduction to geometrical optics and optical design. The book starts from basic principles, for example, Fermat's principle, and.

## Geometrical optics

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optical surfaces to spec,” and how to apply the principles of geometrical optics to We exploit the phenomenon of total internal reflection when designing light.