Download Fundamentals of Practical Aberration Theory: Fundamental by Yoshiya Matsui PDF
By Yoshiya Matsui
At the moment, even if lots of the optical layout methods are computerized by means of software program, the elemental query of ways we will be able to generate the preliminary optical configuration such that it may be handled through the pc continues to be. the reply can basically be present in employing ideas according to the aberration thought. prior works have explored this subject material. None, although, has coated the total volume of first deriving the aberration conception after which illustrating with assistance from different types of genuine examples the way it might be utilized successfully to functional layout difficulties. This publication is critical in its try to positioned idea into perform for the 1st time to supply new perception and information to its readers.
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Extra info for Fundamentals of Practical Aberration Theory: Fundamental Knowledge and Technics for Optical Designers
Sample text
16) of the "Outline of the Herzberger theory" The minus sign appears so that the definitions of aberration coefficients are the same as the traditional ones. 3 23 3 3 Chapter 3. 11). 12) are the third-order aberration coefficients corresponding to the aberration in imaging of the pupil. They represent the following aberrations: I spherical aberration of pupil, II' coma of pupil, astigmatism of pupil, IV sagittal curvature of field of pupil, V distortion of pupil. 11) with the coordinate of the entrance pupil r/ .
41) —. 37) into EL = BLx + Btx', = B' * +B& , J t t 3 we obtain the desired relations among coefficients. l + +k{B v, u +k{B v 12 XlX ) 3 + Bv 2 + + Bv 2 + B^v^x'J 12 1 22 B v )x, l3 3 + B x' 2 3 -r-{B„(K w, + A J K ^ J + A,w ) 5 +BI (K,V 2 2 3 + 2\iv ) 13 + ( B | ( K , V , + XjK V 5 1 + B {K V 22 = 1 2 B\X\ + + 3 3 X]v ) 3 B v }x 23 3 3 3 Bx 2 3 + B, v +{B, v + Bv l 2 + 2A[V } + + {B,,V, 2 + A,x ) + B V }(K,X, 3 2 22 2 2 + B v )x, + B v )x' . B . n These are the relations for the aberration coefficients for imaging of the pupil.
An outline of the theory will be explained here. Herzberger developed his theory up to fifth-order terms. For the sake of simplicity, we will limit ourselves to third-order terms and study his fundamental way of thinking. I n order to use the results in iater sections, we have changed some notation from his original expressions. 2 Let us assume that the optical system we study is rotationally symmetric with respect to the optical axis. 3, we define two planes that are perpendicular to the optical axis, namely, the object plane in the object space and the exit pupil plane in the image space, respectively Let the rectangular coordinates in these planes be X], and x' ,i' , respectively.