Computationally efficient signal modeling for vertical scanning interferometry.

This paper presents a computationally efficient model to simulate the interference signal of vertical scanning interferometry. Existing models are either oversimplified or computationally intensive. Our model incorporates the geometric and spectral effects on vertical scanning interferometry, but removes the computationally intensive numerical integration process by modeling the light spectrum as a sum of piecewise cosine functions. Compared to direct numerical integration of the generalized model, the computational time (for an interference signal) of the proposed model is 256,800 times faster. To verify the accuracy of the proposed model, we simulate the interference signal of a phosphor-based LED, and verify our result with experimental data and a computationally intensive counterpart. Other than reduced computational time, the elementary form of an interference signal derived in this paper will facilitate future work.