The Jacobi Anger expression that arises out of tone modulation of an electro-optic device is a successful model which is derived assuming sinusoidal phase modulation of a lossless and phase matched modulator. The expressions are equation While the accuracy of the model is not a problem under the right conditions, we propose that deeper understanding of this expression can lead to novel modulator design and use. The starting point is to note that the electro-optic effect in nonlinear optical textbooks is usually a DC field nonlinear optical interaction [ref. 1], and that others have used a wave (Maxwell's) equation description of the EO effect [ref. 2–5], however there has not been presented a connection between the common analysis to the expressions in equation (1) to our knowledge. In fact many commonly used analysis are incomplete descriptions. The main reason for this gap is that nonlinear cascading is almost always neglected, and nonlinear cascading is what gives rise to multiple order sidebands. Secondly, few engineering and physics researchers discuss the electro-optic effect in terms of its full nonlinear optical description, which is simultaneous sum and difference frequency generation.