By Yoshiya Matsui
At the present, even supposing lots of the optical layout techniques are computerized due to software program, the basic query of ways we will generate the preliminary optical configuration such that it may be handled by way of the pc is still. the reply can merely be present in making use of thoughts in accordance with the aberration concept. earlier works have explored this subject material. None, even if, has lined the whole quantity of first deriving the aberration thought after which illustrating with the aid of several types of genuine examples the way it may be utilized successfully to useful layout difficulties. This ebook is critical in its try to placed concept into perform for the 1st time to supply new perception and information to its readers.
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Additional resources for Fundamentals of Practical Aberration Theory: Fundamental Knowledge and Technics for Optical Designers
2 3 3 48 Chapter 2. 63) 31 - 31 , 3 2 - U 32 M - £(33. 1 Transformation of the Herzberger aberration theory into practical form Herzberger's expansion formulae of aberration can be applied not only to imaging by an individual refracting (reflecting) surface in an optical system but also to imaging by the entire system. In order to use i t , however, in actual design, we have to solve the following two major problems: i) make clear the relations between the expansion formulae of aberrations for an individual surface in an optical system and those for the entire optical system: and ii) obtain formulae useful for numerical calculation with a given optical system.
In this book, we do not use this re-scaling because it is not essential for deriving the expansion equations and because the relation between the coordinates in the equations and the real coordinates becomes more complicated with this re-scaling. Therefore, there are differences between coefficients At, An used in this book and coefficients A ; , An used in the original paper of Herzberger as shown below: 3 2 A — A 1 of this book = A; in the original paper, 2 At —^ of this book = An, in the original paper.
4 multiplied by the index of refraction of the medium. 20} is the fundamental equation for pupil imaging. 20) are coefficients of the third order for object and pupil imagings. Since the Herzberger theory is based on the eikonal function of an optical system which is rotationally symmetric, the equations obtained are valid not only for imaging by one refracting (reflecting) surface of an optical system but also for imaging by the entire optical system. 7). 7). This re-scaling was used only to get equations of simpler forms.
Fundamentals of Practical Aberration Theory: Fundamental Knowledge and Technics for Optical Designers by Yoshiya Matsui