Methods and apparatus for capturing and rendering images with focused plenoptic cameras employing microlenses with different focal lengths. A focused plenoptic camera that includes an array of microlenses with at least two different focal lengths may be used to simultaneously capture microimages from at least two different planes at different distances from the microlens array. Image operations such as refocusing and focus bracketing may be performed on flats captured with the camera. Images may be constructed from subsets of the microimages captured using each type of microlens, thus creating multiple images each focused at a different depth. An array of stacked microlenses including stacks that provide different focal lengths may be used. The lens stacks may be provided by stacking two microlenses arrays on top of each other in the camera.