Geometric Optics

Theory and Design of Astronomical Optical Systems Using Mathematica®
Third Auflage 2027
ISBN: 978-3-032-43950-5
Verlag: Birkhäuser

Buch, Englisch, Format (B × H): 155 mm x 235 mm

Reihe: Modeling and Simulation in Science, Engineering and Technology

This textbook, now in its third edition, provides a rigorous introduction to geometric optics with a particular emphasis on the analysis and design of astronomical telescopes, cameras, and lens systems. Beginning with Fermat’s principle, the text develops Gaussian optics, aberration theory, wavefront analysis, and Hamiltonian optics before applying these concepts to the design of a wide range of astronomical optical configurations, including Newtonian, Cassegrain, Schmidt, Maksutov, and Houghton systems, as well as achromatic lens assemblies.

A distinctive feature of the book is its derivation of optical design methods directly from Fermat’s principle and stigmatic paths, offering a clear route from fundamental principles to practical system design. New to this edition is a substantial treatment of fifth-order aberration theory, extending the discussion beyond classical third-order methods and enabling a more complete analysis of modern optical systems. Throughout, Mathematica® notebooks and OSLO files are used to support numerical calculations and design examples, allowing readers to explore the underlying theory and its applications in depth.

is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. It can also be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica®, or geometric optics.

Zielgruppe

Graduate

Autoren/Hrsg.

Romano, Antonio

Cavaliere, Roberto

Fachgebiete

• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Angewandte Optik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Fermat's Principle and General Considerations.- Gaussian Optics.- Fermat's Principle and Third-Order Aberrations.- About Higher-Order Aberrations.- Newtonian and Cassegrain Telescopes.- Cameras for Astronomy.- Compound Cassegrain Telescopes.- Doubles and Triplets.- Other Optical Combinations.- Fermat's Principle and Wave Fronts.- Hamiltonian Optics.- Principal Functions and Primary Aberrations.- Introduction to Optics in Anisotropic Media Media.- Appendix A: First-Order PDE.- Appendix B: Symplectic Vector Spaces.

Über Autor(innen)

Antonio Romano graduated in 1965 and served as an assistant in Rational Mechanics until 1975. Held the position of *Professore incaricato* (appointed professor) from 1969 to 1975. Served as *Professore straordinario* (associate professor) of Mathematical Physics from 1975 to 1978, and as *Professore ordinario* (full professor) of Mathematical Physics from 1978 onwards. Professor Emeritus since 2011. In addition to his primary course on Analytical Mechanics for the Physics degree program, he taught courses on Special and General Relativity, Fluid Dynamics, Elasticity, Mechanics of Vibrations, and Foundations of Mathematics, and delivered numerous seminars and lectures.