Coordinate transformation and coordinate mapping for numerical simulation of Z-scan measurements

We apply a new method consisting of a coordinate transformation and a coordinate mapping technique, to simulate numerically Z-scan measurements of a nonlinear medium. A comparison of numerical results obtained by this new method with those by conventional numerical method is made. Results show that the new scheme yields a large, orders-of-magnitude range improvement in computational speed and accuracy for the analyses of closed-aperture and open-aperture Z-scan measurements, compared with conventional numerical methods.