Stigmatic Optics. Rafael G González-Acuña

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       6.4 Conclusions

       Further reading

       7 The general equation of the Cartesian oval

       7.1 From Ibn Sahl to Rene Descartes

       7.2 A generalized problem

       7.3 Mathematical model

       7.4 Illustrative examples

       7.5 Collimated input rays

       7.6 Illustrative examples

       7.7 Collimated output rays

       7.8 Illustrative examples

       7.9 Reflective surface

       7.9.1 Parabolic mirror

       7.10 Illustrative examples

       7.11 End notes

       Further reading

       8 The stigmatic lens generated by Cartesian ovals

       8.1 Introduction

       8.2 Mathematical model

       8.3 Examples

       8.4 Collector

       8.5 Examples

       8.6 Collimator

       8.7 Examples

       8.8 Single-lens telescope with Cartesian ovals

       8.9 Example

       8.10 End notes

       Further reading

       9 The general equation of the stigmatic lenses

       9.1 Introduction

       9.2 Finite object finite image

       9.2.1 Fermat principle

       9.2.2 Snell’s law

       9.2.3 Solution

       9.2.4 The eikonal of the stigmatic lens

       9.2.5 Gallery

       9.3 Stigmatic aspheric collector

       9.3.1 The eikonal of the stigmatic collector

       9.3.2 Gallery

       9.4 Stigmatic aspheric collimator

       9.4.1 The eikonal of the stigmatic collimator

       9.4.2 Gallery

       9.5 The single-lens telescope

       9.5.1 The eikonal of the single-lens telescope

       9.5.2 Gallery

       9.6 End notes

       Further reading

       10 The stigmatic lens and the Cartesian ovals

       10.1 Introduction

       10.2 Comparison between the different stigmatic lenses made by Cartesian ovals

       10.3 Cartesian ovals in a parametric form

       10.4 Cartesian ovals in an explicit form as a first surface and

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