LENSES!
You don't actually need a lens to form a real image, but you do need a lens to form a bright real image.











(1/p) + (1/q) = (1/f), just as for curved mirrors.




Magnifying Glass!






REVIEW!!



Some Solved Thin-Lens problems.

Warning: many on-line sources I have seen with solved problems for curved mirrors or thin lenses show solutions that are essentially crazy from the standpoint of mathematics. That is, they take an equation like 1/p + 1/q = 1/f and plug numbers into it directly, then solve for the unknown quantity! That's utterly nonsensical, because you can't and shouldn't try to do algebra with numbers. For example, if you are given p and q and asked to solve for f, you do it as follows: 1/f = (p + q)/pq so f = pq/(p + q), etc.  Getting the answer in algebraic form first allows you then to be able to spot instantly if you used the wrong sign convention for one of the quantities, in choosing numbers to plug in.





THICK LENSES


Chromatic and Spherical Aberrations of lenses!

OPTICAL DEVICES!

Diffraction is the bending of waves around obstacles. It is easiest to observe when the obstacle or opening in a barrier is about the same size as the wavelength of the wave.


SUPERPOSITION AND INTERFERENCE

METAMATERIALS

Double Slit
Thin Films
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