Linear electro-optic (EO) and thermo-optic (TO) effects are jointly considered on the basis of field-induced and temperature-affected perturbations of the operating point along the optical transmission curve of an EO-modulation system. In this framework, methods of EO measurements based on the frequency doubling appearing at the minimum-transmission point are formulated. Moreover, TO coefficients for various optical quantities, such as the refractive indices, n
0 and n
e, the spontaneous birefringence Δn
(0), the EO coefficient r, the half-wave voltage V
π, the optical phase retardation Γ, and the intensity modulation (IM) depth, m, are introduced and useful relationships between them are extracted. Also, applications of the above in the experimental field, with determinations of EO parameters and TO coefficients, are presented for the case of a congruent LiTaO
3 crystal. A comparison of the so-obtained experimental results with those derived from literature when a LiNbO
3 crystal is used demonstrates a number of advantages for the LiTaO
3-based system. PACS 78.20.Jq; 65.40.De
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