By Yoshiya Matsui

At the present, even though many of the optical layout methods are computerized due to software program, the elemental query of the way we will generate the preliminary optical configuration such that it may be handled by means of the pc is still. the reply can basically be present in employing options in accordance with the aberration conception. prior works have explored this subject material. None, despite the fact that, has coated the whole quantity of first deriving the aberration thought after which illustrating with the aid of several types of real examples the way it could be utilized successfully to sensible layout difficulties. This ebook is critical in its try and placed concept into perform for the 1st time to supply new perception and information to its readers.

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**Sample text**

In the first-order approximation (paraxial region) wherein we set the right side of the equation to zero, x[ depends only on the coordinate xi of the object point and is independent of the coordinate x' of the pupil point. This signifies that the plane that includes x[ and is perpendicular to the optical axis is itself the plane of paraxial imaging. 18) represents the terms of third-order aberration. 18), we can represent the paraxial lateral magnification /? as 3 , . 4 . - j L , - $ . 20) = (BnUi + B v i2 2 + B v )xi i3 3 + {B vi 2l + Bv 22 2 + B v )x' .

5 22 31 2! 45). 2 Outline of the Herzberger theory 43 (4) Transformations of aberration coefficients induced by curvatures of the object surface and the image surface Herzberger also obtained transformations for aberration coefficients when a coordinate surface has curvature. I n this case, as we get further from the optical axis, the curved coordinate surface shifts from the original plane coordinate surface in the direction of the optical axis. Let us first study the case in which both the object surface and the image surface are curved.

I — B a , B 22 = fiji, B B 23 = B 23 3 + -prEi — BBE. 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.