This study presents an analysis of existing methods for compensating for carrier interference in AEM data, culminating in the proposal of a new approach based on a polynomial expansion of the self-interference field based on the measured field of two dipoles. Carrier interference compensation algorithms using third-order polynomials were developed, demonstrating that the use of a third-order polynomial provides a compensation depth comparable to the sensitivity of the field sensors used. Experimental verification confirmed effective selfinterference compensation using data obtained with a two-dipole configuration. The geometric limitations inherent in this method were identified, and an optimal regularization parameter was introduced and determined for estimating the coefficients of a cubic self-interference model, further enhancing the reliability and accuracy of the compensation process.