Uniformity and Collimation of Incoherence Gaussian Beam With Divergence Based on Only One Fresnel Surface

Realization of Collimated Specific Profiles in Rotation-Symmetrical Beam Shaping System with Divergent Light Source

“…Previous studies [11,12] have shown that when the incident ray Ii, which serves as the reference ray, is directed towards the center of the segmented refractive plane, it produces a superior light pattern, and thus fewer segments of the refractive plane are required to construct the freeform lens. Accordingly, a second algorithm was proposed to improve the beam shaping performance by constraining the reference beam Ii to pass as close as possible through the center of each designed refractive plane on the second freeform surface.…”

“…However, in real-world lens systems, the cost and complexity of the lens manufacturing process scale with the number of refractive planes. Previous studies have shown that when the reference rays pass through the central region of a refractive surface, the same beam shaping performance can be achieved using fewer refractive plane segments [11,12].…”

“…Many optical systems nowadays require light sources to be pre-shaped into desired light distributions. Thus, many beam shaping methods have been proposed [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Most of these studies have focused on the problem of achieving a uniform light distribution [3][4][5][6].…”

“…In a more recent study, Liu and Zhang [15] reviewed existing methods for collimated beam shaping systems and proposed several alternative lens structures. However, all of the methods in [7][8][9][10][11][12][13][14][15][16] are designed specifically for optical systems with a collimated light source.…”

“…However, these methods do not specifically focus on the simultaneous collimation and formation of specific light profile outputs. Accordingly, this study first employs a numerical method [11,12] to design freeform lenses consisting of multiple refractive planes, which both collimate a divergent light source and form a specific output profile. The simulation results confirm that the designed lenses fulfill the twin requirements of collimation and uniform light distribution, respectively.…”