1. Metamaterials for Curved Lenses Geometric optic analysis of lenses composed of continuous negative index media.
UCSD

2. Why Curved Lenses? Focuses Near Fields Super resolution imaging
Slabs (“Perfect Lens”)
Curved Lenses
Focuses Near Fields
Super resolution imaging
Super resolution illumination
Focuses far fields
Far field applications
Antennas
Cameras
Telescopes
etc

3. Focusing Performance Optical Aberration Coefficients
Gaussian optical formulas describe ideal point focusing.
Aberration coefficients describe the deviation of a focus from an ideal point.
Spherical
Coma
Astigmatism
Field curvature
Distortion

5. Seidel Aberration Coefficients for thin lens
Spherical
Coma
Astigmatism
Field Curvature
Distortion
Shape Factor
Position Factor

6. Lens aberrations For zero coma Spherical Astigmatism Field curvature
Shape factor

7. Lens aberrations For zero spherical aberration Coma Astigmatism
Field curvature
Shape factor

8. Lens Aberrations Finite object position Zero Spherical and Coma
Astigmatism
Field curvature
Shape factor
Position factor

9. Conclusions
Negative index lenses can have superior far field focusing properties.
Single element lenses can only have real aplanatic points with negative index.