GeomOpt_Part42

GeomOpt_Part42 - Geometric Geometric aberrations part II In...

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Geometric aberrations part II the previous class we introduced the concept of the In the previous class we introduced the concept of the aberration polynomial and studied spherical aberration. In this class we will continue our treatment of aberrations by considering the other 4 aberrations – namely coma, astigmatism, field curvature and distortion. ©AGK 2010 Aberrations 29
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Part II: Learning outcomes After taking this section you will be able to: • Sketch ray paths for systems suffering from –C o m a – Astigmatism – Field curvature istortion Distortion • Apply the best form lens equations for spherical aberration • Recognize the importance of the Abbe Sine Condition • Propose some solutions to these problems ©AGK 2010 Aberrations 30
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Content • Review of the Seidel aberration polynomial • Five third order aberrations: – Spherical Aberration – Coma – Astigmatism ield curvature Field curvature – Distortion ©AGK 2010 Aberrations 31
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Review: Spherical aberration for a lens ositive spherical aberration marginal ray Positive spherical aberration F i T•SA paraxial image plane L•SA L•SA: longitudinal spherical aberration ©AGK 2010 Aberrations 32 T•SA: traverse (lateral) spherical aberration
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Ray intercept curves h’ =H’- H’ HH h H’ reference plane ©AGK 2010 Aberrations 33 Tan U’
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2. Comatic aberration (Coma) Dependence of transverse magnification on aperture egative coma s Negative coma h ©AGK 2010 Aberrations 34
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Positive coma s Coma T y’ y p Coma T = y’-y p ©AGK 2010 Aberrations 35
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Coma Points on lens Points on image 1 2 4 1’ 1 1’ 2’ 4’ S 1’ 1 1 3 3 4 2 1’ 3 3 3 2 4 3’ 4’ 2’ 4’ 2’ O 1 1’ O 60° P,O 1 1’ ©AGK 2010 Aberrations 36
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Abbe Sine Condition • It is possible to show that a lens that obeys the Abbe Sine Condition (OSC) has no coma (providing that it also has no spherical aberration) • The Optical Sine Theorem was derived by Abbe and states sin sin oo ii yy o i y i ©AGK 2010 Aberrations 37 y 0
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GeomOpt_Part42 - Geometric Geometric aberrations part II In...

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