[Blueboard] Lecture on Applied Mathematics

evbagtas at mathsci.math.admu.edu.ph evbagtas at mathsci.math.admu.edu.ph
Mon Sep 24 09:30:44 PHT 2012


The Ateneo de Manila University
Mathematics Department


cordially invites you to a talk on


Analyses of Ray Transfer Matrices of Optical
Elements with Aberrations

by


Clark Kendrick C. Go
Mathematics Department, SOSE



on Friday, September 28, 2012
4:30 - 5:30 pm at SECA 303.

Abstract

Ray Transfer Matrices (RTM) are used in optics as a ray tracing  
technique to describe the relationship between the properties of a ray  
before and after it has passed through a certain optical element. An  
optical aberration, on the other hand, is a deviation from the ideal  
cases presented by this ray tracing technique. Aberrations exist  
because of imperfections in the optical elements themselves, or  
because of the nature of the paraxial approximations.

In this talk, we introduce two methods in analyzing optical  
aberrations. First is a qualitative approach to aberrations expressed  
in matrix forms, which are used to generalize RTM?s of various optical  
components. The aberrations are collectively treated by examining  
pseudospectra of an augmented matrix derived from aberrations. An  
example of such pseudospectra will be shown, along with the relative  
strengths of the aberrations using this method.

The second approach will be a quantitative description of the extent  
of perturbation corresponding to some aberration strength. Condition  
numbers and absolute errors for the perturbed RTM?s will be presented,  
along with an application of a single small aberration. The results  
will then be compared with those of diffraction theory of aberrations.


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