An Introduction to Hamiltonian Optics by H. A. Buchdahl (PDF)

Description

This excellent study provides a detailed account of the Hamiltonian treatment of aberration theory in geometrical optics. It is important for design of laser cavities, electron optics, crystal physics, and other areas. The author deals in logical progression with many classes of optical systems, defined in terms of the symmetries they possess. Detailed solutions included.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is so cheap but with so many interesting stuff inside, I guess everyone in optics should know something about symmetry and the general thoery.

⭐This is another great book in the Dover series of Classics. All of the books in this series are well worth the cost and have been for at least 30 years. Guess that is why they are classics.

⭐Having some background in Hamiltonian Mechanics I decided to buy the book to learn something about aberrations in optics. Till chapter 4 I found the book interesting. It defines the optical lenght and explain Fermat Principle, define caracteristic funcions and deduce vectorial ray equations. Chapter 3 explains how important properties can be deduced from symmetry. Chapter 4 introduces different types of aberrations considering the displacement from the ideal imaged point. In paragraph 23. defines the effective aberration coefficients and from there on the book loose all his clarity. It changes several times the notation and writeslong expresion of 12 or more terms with so many coeffiecients that is not posible to remember what are their meaning. I skiped paragraphs, pages and chapters but get the same stuff. So I enjoy only 1/5 of the book (which is better than nothing…) and get disppointed from the rest.

⭐This book is by far the best in the field of geometrical optics dealing with 3-d, 5-th and higher orders aberrations in symmetric optical system. The language is very clear and easy to follow, it is written for a broad audience. I would personally recommend it for all how has an interest in the theory of optical aberrations.

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