Adaptive-additive algorithm

<p>In the studies of <a href="/facts/Fourier_optics/H4bVRGYx">Fourier optics</a>, <a href="/facts/Sound_synthesis/NrmdVrPa">sound synthesis</a>, <a href="/facts/Stellar_astronomy/0ArJVM1p">stellar</a> <a href="/facts/Interferometry/X3E1SsQT">interferometry</a>, <a href="/facts/Optical_tweezers/wsPxwmX6">optical tweezers</a>, and diffractive optical elements (DOEs) it is often important to know the <a href="/facts/Spatial_frequency/b0un3CNv">spatial frequency</a> phase of an observed wave source. In order to reconstruct this <a href="/facts/Phase_(waves)/cpGtuVll">phase</a> the Adaptive-Additive Algorithm (or AA algorithm), which derives from a group of adaptive (input-output) algorithms, can be used. The AA algorithm is an <a href="/facts/Iterative/AMc1p7BL">iterative</a> <a href="/facts/Algorithm/fnl5NmRt">algorithm</a> that utilizes the <a href="/facts/Fourier_Transform/XXhKJtc8">Fourier Transform</a> to calculate an unknown part of a propagating wave, normally the <a href="/facts/Spatial_frequency/b0un3CNv">spatial frequency</a> <a href="/facts/Phase_(waves)/cpGtuVll">phase</a> (k space). This can be done when given the phase’s known counterparts, usually an observed <a href="/facts/Amplitude/aEckuXJM">amplitude</a> (position space) and an assumed starting <a href="/facts/Amplitude/aEckuXJM">amplitude</a> (k space). To find the correct <a href="/facts/Phase_(waves)/cpGtuVll">phase</a> the <a href="/facts/Algorithm/fnl5NmRt">algorithm</a> uses error conversion, or the error between the desired and the theoretical <a href="/facts/Intensity_(physics)/KFWkJkJI">intensities</a>.
</p>

Adaptive-additive algorithm open-in-new

Adaptive-additive algorithm