Are filters in lattices exactly the homomorphic preimages $\varphi^{-1}(1)$ of top elements?

This lattice

(known as "the diamond"), has no proper congruence and three proper filters.

Not every ideal is a kernel of a congruence [Steven Roman, Lattices and Ordered Sets, Springer, 2008, p.78, Example 3.40]. Dually, not every filter is a preimage of the top element.