Achromatic Lens Design

Hi all,

I have encountered a design problem in my that I would like to consult about the optimal way approach and solve it:

Design an achromatic lens with the following properties (show solution steps):
Effective focal Length – 10mm
Number of lens elements – 2 (4 spherical surfaces)
F-number – 5.0
Wavelengths – 450nm and 630nm
Field of view – 0⁰ (only consider the on-axis field)

Supplied glasses:

Glass Name	Index of Refraction (nd)	Abbe Number (vd)
CaF2	1.434	95.1
S-FSL5	1.487	70.2
N-BK7	1.517	64.2
N-SSK8	1.618	49.8
N-F2	1.62	36.4
N-LAK22	1.651	55.89
N-BAF10	1.67	47.2
N-SF18	1.722	29.3
N-LASF44	1.803	46.4
N-SF6	1.805	25.39
N-LASF9	1.85	32.2
N-SF66	1.923	20.88

What should I take into account, the steps the need to be done, and what do you think should be the intuition regarding dispersion and optical power?

Thanks!