## Abstract

The sphere method is used for the direct measurement of sum- and difference-frequency generation phase matched in the principal planes of ${\mathrm{KTiOAsO}}_{4},\hspace{0.5em}{\mathrm{RbTiOAsO}}_{4},$ and ${\mathrm{CsTiOAsO}}_{4},$ including the tuning curves of 1.064-*µ*m-pumped OPO’s emitting between 3 and 5 *µ*m. The nonlinear least-squares fitting of our experimental data leads to refined dispersion equations of the principal refractive indices; the resulting dual-oscillator form equations are valid over the complete transparency range of the three studied materials.

© 2000 Optical Society of America

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