Читать книгу Stigmatic Optics - Rafael G González-Acuña - Страница 7

This treatise focuses on a particular concept of geometric optics, stigmatism. Stigmatism refers to the image property of an optical system that focuses a single point source in object space at a single point in image space. Two of these points are called a stigmatic pair of the optical system.

The treatise starts from the foundations of stigmatism: Maxwellʼs equations, the eikonal equation, the ray equation, the Fermat principle and Snellʼs law. Then we study the most important stigmatic optical systems without any paraxial or third order approximation or without any optimization process. These systems are the conical mirrors, the Cartesian ovals and the stigmatic lenses.

Conical mirrors are studied step by step with clear examples.

In the case of the Cartesian ovals, two paradigms are studied. The first, the Cartesian ovals are obtained by means of a polynomial series and the second by means of a general equation of the Cartesian oval.

For stigmatic lenses, the case is studied when the two refractive surfaces are Cartesian ovals. Then the general equation for stigmatic lenses is obtained.

Finally, the similarities of optical systems and their nature are studied.

It is recommended to read this treatise in order.

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