By Yoshiya Matsui
At the moment, even though many of the optical layout methods are automatic due to software program, the basic query of ways we will be able to generate the preliminary optical configuration such that it may be handled via the pc continues to be. the reply can in basic terms be present in utilizing suggestions in keeping with the aberration concept. earlier works have explored this subject material. None, in spite of the fact that, has lined the complete quantity of first deriving the aberration thought after which illustrating with the aid of different types of genuine examples the way it could be utilized successfully to functional layout difficulties. This booklet is critical in its try to positioned concept into perform for the 1st time to supply new perception and data to its readers.
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Additional resources for Fundamentals of Practical Aberration Theory: Fundamental Knowledge and Technics for Optical Designers
Example text
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. We obtain the relations for the aberration coefficients for imaging of the object when we 42 Chapter 2.
W i t h this definition, we can say that a wavefront is the surface formed by a set of points with equal optical path lengths from an object point. Let us write the coordinates of point A as (x, y, z) and the coordinates of point B as (x', y', z'). If A and B are not conjugate to each other, the path of a ray from A to B is unique. So the optical path length between A and B can be written as a function of the coordinates of the two points A and B, Since the ray and the wavefront are orthogonal to each other, the relation between the ray and the wavefront, when point A is moved by a small distance ds{dx,dy,dz) while point B is held fixed, must exist as in figure 2 .
48) may be replaced by £ii " l i "2 w i t h the approximation of the third order, we have the following relations among the aberration coefficients: 2 B'2, B? = 5B' + B , B i f ) - ^ - f > , B 22 — B' , B' = B' , ! 53) Ba, = BS, B' 33 B' 33 = B' . 33 For imaging of the pupil, i t is clear that the following relations hold in the third-order approximation: — B x' — B,x 2 3 3 = (B,|W, + B v 12 = (Bnu, + Bv u + B, v }x, 2 3 + 2 3 fl,3t! )x, 3 + (B ,w, + B tr + 2 3 i + (B |U, 2 + Bv 22 2 + 2 B v )x' 23 3 3 B v )x' .
