Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of...

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Prof. Jose Sasian Short Course Design of un-obstructed reflective systems

Transcript of Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of...

Page 1: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Design of un-obstructed reflective systems

Page 2: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Symmetry

• Axially symmetry• Double plane symmetry• Plane symmetry• Monocentric symmetry• Confocal symmetry• Non identiafiable symmetry

Page 3: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Methods of design for NRS

• Eccentric and off-axis sections• Annular or Ring field systems• Concatenation of well corrected

systems• Tilted component theory• Expansion about the Optical Axis Ray• Confocal systems

Page 4: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Eccentric and off-axis systems

Page 5: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Annular or Ring field systems

Perkin-Elmer’sMicralignconcept byA. Offner 1975

Page 6: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Ring-field system for EUV lithography Annular surfaces

Page 7: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Concatenation of systems Example: on axis aspheric

system

Page 8: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer

Page 9: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Tilted component system

Tilted Component Optical Systems, Richard Buchroeder, Ph. D. Dissertation, University of Arizona

Page 10: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Scheimpflug condition

Page 11: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Displacement of the aberration field center

Page 12: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Aberration fields

K. Thompson, "Description of the third-order optical aberrations of near-circular pupil optical systems without symmetry," J. Opt. Soc. Am. A 22, 1389-1401 (2005)

Page 13: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Plane symmetric systems:Expansion about the OAR

Page 14: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Plane symmetric aberration function

Page 15: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Aberrations of aPlane symmetric system

Page 16: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Aberration coefficients

Page 17: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Aberration coefficient calculation

Page 18: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Basic forms of astigmatism

Page 19: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Behavior of coma

Page 20: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Confocal arrangement of mirrors:No aberration along the optical axis ray.

Excellent starting design point

OAR

Use paraboloids, ellipsoids, hyperboloids

Page 21: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Examples

Page 22: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Optical surfaces ....

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Page 23: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Amateur telescopes I

Page 24: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Amateur telescopes II

Page 25: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Double curvature mirrors I

ToroidEllipsoidElliptical paraboloid

Page 26: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Double curvature mirrors II

Page 27: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Double curvature mirrors III

Page 28: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Page 29: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Page 30: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

A 1.6 m off-axis paraboloid

R=13 mD=1.6 mE=2.4 m

Page 31: Design of non-axially symmetric systems · system. Prof. Jose Sasian Short Course Concatenation of systems Example: Reed and Schwarzschild systems by David Shafer. Prof. Jose Sasian

Prof. Jose Sasian Short Course

Confocal system: Cassegrain telescope made unobstructed