Aberrations of non-axially symmetric systems

Introduction to aberrationsOPTI 518

Jose Sasian

Approaches

• Eccentric pupil and off-axis• Tilted component systems• Plane symmetric systems• Many others

Eccentric pupil and off-axis field approaches

Tilted component systems

qH H

Optical axis rayOAR

Determining the image plane tilt

Displacement of the aberration field center

qH H

Aberration function

Vector algebra

Aberration fields

Graphical representation

Astigmatism

Distortion

TCS Highlights

• Uses axially symmetric components• Aberration field concept• Aberration nodes• Neglects extrinsic aberrations• Provides new insights• Hybrid theory

Plane symmetric systems

How do they behave?

Aberration function

Aberrations of aPlane symmetric system

Definitions

Associated axially symmetric system

Plane symmetric aberration coefficients

Plane symmetric systems highlights

• Wide class of systems• Aberration function ad-hoc• “First-order” properties defined• Expansion is about OAR• Provides coefficients similar to Seidel sums• Can be thought of as generalization of the

theory of axially symmetric system• Ease to apply

Summary

• Approaches to non-axially symmetric systems

• Many practical uses including tolerancing• Tilted components systems• Plane symmetric systems• Aberration field concept and nodes