order can be varied between 15% to 99% of the input light intensity. Likewise, the intensity of the m = +1 order can be varied between 0% and 80%. An expression of the efficiency in m = +1 order is: where the external phase excursion . To obtain the same efficiency for different wavelength, the RF power in the AOM has to be proportional to the square of the wavelength of the optical beam. Note that this formula also tells us that, when we start at a high RF power P, it might be higher than the first peak in the sine squared function, in which case as we increase P, we would settle at the second peak with a very high RF power, leading to overdriving the AOM and potential damage to the crystal or other components. To avoid this problem, one should always start with a very low RF power, and slowly increase it to settle at the first peak. Note that there are two configurations that satisfies Bragg Condition: If the incident beam's wavevector's component on the sound wave's propagation direction goes against the sound wave, the Bragg diffraction/scattering process will result in the maximum efficiency into m = +1 order, which has a positive frequency shift; However, if the incident beam goes along the sound wave, the maximum diffraction efficiency into m = -1 order is achieved, which has a negative frequency shift. Frequency One difference from Bragg diffraction is that the light is scattering from moving planes. A consequence of this is the frequency of the diffracted beam f in order m will be Doppler-shifted by an amount equal to the frequency of the sound wave F. This frequency shift can be also understood by the fact that energy and momentum (of the photons and phonons) are conserved in the scattering process. A typical frequency shift varies from 27 MHz, for a less-expensive AOM, to 1 GHz, for a state-of-the-art commercial device. In some AOMs, two acoustic waves travel in opposite directions in the material, creating a standing wave. In this case the spectrum of the diffracted beam contains multiple frequency shifts, in any case integer multiples of the frequency of the sound wave. Phase In addition, the phase of the diffracted beam will also be shifted by the phase of the sound wave. The phase can be changed by an arbitrary amount. Polarization Collinear