Generation of Mathieu beams using angular pupil modulation<xref rid="cpb_27_12_124201_fn1" ref-type="fn">*</xref><fn id="cpb_27_12_124201_fn1"><label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant No. 11674288).</p></fn>

Generation of Mathieu beams using angular pupil modulation**

Project supported by the National Natural Science Foundation of China (Grant No. 11674288).

Ren Zhijun^{1, †}, He Jinping², Shi Yile¹

(color online) Theoretical simulation of even mode Mathieu beams of the first kind in elliptic coordinate. The first to fourth rows represent Mathieu beams for m = 0, 1, 2, 3. The first to fourth columns represent the beams for q = 0, 15, 30, 45. The red regions represent the crests (maxima intensity of beams), whereas the blue regions represent the valleys (minima intensity of beams).