Abstract

The study of caustics is important because they contain information about the image formation properties of optical systems. In this work we use the concept of caustic as a set of focal points, and we have developed a second order approach theory to determine local slopes and curvatures of a wavefront emerging from an optical system. The method is based on the use of a point diffraction interferometer, and the analysis of the interferograms allows us to compute the focal region. Experimental results obtained with a plano-convex lens demonstrate the accuracy of the combined theoretical-experimental method here developed. Application to noisy wavefronts such as those produced by biological samples, specifically in crystalline lenses of fish eyes, are also exposed.

Highlights

  • RicartDepartament de Fısica Aplicada i Optica, Facultat de Fısica, Universidad de Barcelona, 08028 Barcelona, Spain Departament de Fısica Aplicada i Optica, Facultat de Fısica, Universidad de Barcelona, 08028 Barcelona, Spain Departament de Fısica Aplicada i Optica, Facultat de Fısica, Universidad de Barcelona, 08028 Barcelona, Spain

  • Caustics have been subject of research for many years

  • In order to demonstrate experimentally the accuracy of both the quadratic approach as well as the interferometer, on one hand we developed the experimental set up shown in figure 4 to determine the caustics position of a beam produced by a plano-convex lens illuminated by an on-axis plane wave

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Summary

Ricart

Departament de Fısica Aplicada i Optica, Facultat de Fısica, Universidad de Barcelona, 08028 Barcelona, Spain Departament de Fısica Aplicada i Optica, Facultat de Fısica, Universidad de Barcelona, 08028 Barcelona, Spain Departament de Fısica Aplicada i Optica, Facultat de Fısica, Universidad de Barcelona, 08028 Barcelona, Spain. The study of caustics is important because they contain information about the image formation properties of optical systems. In this work we use the concept of caustic as a set of focal points, and we have developed a second order approach theory to determine local slopes and curvatures of a wavefront emerging from an optical system. The method is based on the use of a point diffraction interferometer, and the analysis of the interferograms allows us to compute the focal region. Experimental results obtained with a plano-convex lens demonstrate the accuracy of the combined theoretical-experimental method here developed. Application to noisy wavefronts such as those produced by biological samples, in crystalline lenses of fish eyes, are exposed.

INTRODUCTION
THEORY
Principles
Accuracy of the method
OPTICAL PROPERTIES OF FISH LENSES
CONCLUSIONS

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