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We explore the pattern of frequency-dependent linear and second non-linear optical responses of repulsive impurity doped quantum dots harmonically confined in two dimensions. The dopant impurity potential chosen assumes a Gaussian form and it is doped into an on-center location. The quantum dot is subject to a periodically oscillating external electric field. For some fixed values of transverse magnetic field strength (v c ) and harmonic confinement potential (v 0 ), the influence of impurity strength (V 0 ) and impurity domain (j) on the diagonal components of the frequency-dependent linear (a xx and a yy ) and second non-linear (g xxxx and g yyyy ) responses of the dot are computed through a linear variational route. The investigations reveal that the optical responses undergo enhancement with increase in both V 0 and j values. However, in the limitingly small dopant strength regime one observes a drop in the optical responses with increase in V 0 . A time-average rate of energy transfer to the system is often invoked to support the findings.

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