Second harmonic generation (SHG) and third harmonic generation (THG) in quantum dots with cylindrical geometry are studied by solving the Schrödinger equation within the effective mass approximation. The cylindrical nanostructures are a linear cone, convex cone and a concave cone compared with the solid cylindrical quantum dot. Results show that for the different cylindrical quantum dots of the same base radius, peaks of both the SHG and THG coefficients occur at different photon energies, and in order of increasing photon energy: solid cylinders, convex cones, linear cones and the concave cones. Additionally, peaks of both SHG and THG coefficients in conical quantum dots are more separated in energy than those associated with a purely solid cylindrical quantum dot. Potential applications and other features are discussed.

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