An active complex spatial light modulation apparatus for an ultra-low noise holographic display, the apparatus comprising: a substrate; and a petal antenna comprising three petal patterns (130, 140, 150) arranged on the substrate, dividing a complex plane into three phase sections, and modulating the input light into three-phase amplitude values corresponding to the phase sections; wherein the petal antenna has a point symmetry shape based on a center point of the petal antenna, wherein each of the petal patterns (130, 140, 150) comprises at least two petal elements arranged in a point symmetry form based on the center point; wherein at least two of the petal elements are spaced apart from each other with the center point interposed between the spaced apart petal elements; wherein a first petal pattern of the three petal patterns (130, 140, 150) represents the input light as a first amplitude value corresponding to a first phase section of the three phase sections, wherein a second petal pattern of the three petal patterns represents (130, 140, 150) the input light as a second amplitude value corresponding to a second phase section of the three phase sections, wherein a third petal pattern of the three petal patterns (130, 140, 150) represents the input light as a third amplitude value corresponding to the third phase section of the three phase sections, and wherein the first amplitude value is determined based on the size of the first petal pattern, the second amplitude value is determined based on the size of the second petal pattern, and the third amplitude value is determined based on the size of the third petal pattern; the apparatus further comprising, for each petal pattern (130, 140, 150), an element attached to the petal elements of the corresponding petal pattern (130, 140, 150), wherein the element is configured to actively modulate the amplitude of a light wave to the petal element. a substrate; and a petal antenna comprising three petal patterns (130, 140, 150) arranged on the substrate, dividing a complex plane into three phase sections, and modulating the input light into three-phase amplitude values corresponding to the phase sections; wherein the petal antenna has a point symmetry shape based on a center point of the petal antenna, wherein each of the petal patterns (130, 140, 150) comprises at least two petal elements arranged in a point symmetry form based on the center point; wherein at least two of the petal elements are spaced apart from each other with the center point interposed between the spaced apart petal elements; wherein a first petal pattern of the three petal patterns (130, 140, 150) represents the input light as a first amplitude value corresponding to a first phase section of the three phase sections, wherein a second petal pattern of the three petal patterns represents (130, 140, 150) the input light as a second amplitude value corresponding to a second phase section of the three phase sections, wherein a third petal pattern of the three petal patterns (130, 140, 150) represents the input light as a third amplitude value corresponding to the third phase section of the three phase sections, and wherein the first amplitude value is determined based on the size of the first petal pattern, the second amplitude value is determined based on the size of the second petal pattern, and the third amplitude value is determined based on the size of the third petal pattern; wherein the petal antenna has a point symmetry shape based on a center point of the petal antenna, wherein each of the petal patterns (130, 140, 150) comprises at least two petal elements arranged in a point symmetry form based on the center point; wherein at least two of the petal elements are spaced apart from each other with the center point interposed between the spaced apart petal elements; wherein a first petal pattern of the three petal patterns (130, 140, 150) represents the input light as a first amplitude value corresponding to a first phase section of the three phase sections, wherein a second petal pattern of the three petal patterns represents (130, 140, 150) the input light as a second amplitude value corresponding to a second phase section of the three phase sections, wherein a third petal pattern of the three petal patterns (130, 140, 150) represents the input light as a third amplitude value corresponding to the third phase section of the three phase sections, and wherein the first amplitude value is determined based on the size of the first petal pattern, the second amplitude value is determined based on the size of the second petal pattern, and the third amplitude value is determined based on the size of the third petal pattern; the apparatus further comprising, for each petal pattern (130, 140, 150), an element attached to the petal elements of the corresponding petal pattern (130, 140, 150), wherein the element is configured to actively modulate the amplitude of a light wave to the petal element.