  The present work deals with an exhaustive study of bouncing cosmology in the
background of homogeneous and isotropic Friedmann-Lemaitre-Robertson-Walker
space-time. The geometry of the bouncing point has been studied extensively and
used as a tool to classify the models from the point of view of cosmology.
Raychaudhuri equation (RE) has been furnished in these models to classify the
bouncing point as regular point or singular point. Behavior of time-like
geodesic congruence in the neighbourhood of the bouncing point has been
discussed using the Focusing Theorem which follows as a consequence of the RE.
An analogy of the RE with the evolution equation for a linear harmonic
oscillator has been made and an oscillatory bouncing model has been discussed
in this context.
