“…In addition, the transverse mode dynamics of the VCSEL is very rich [2][3][4][5][6][7][8] , and is also expected to be applied widely, including the optical communication and interconnects 1 . On the side of the VCSEL's fundamental transverse mode, several control strategies have been proposed 9,10 . For example, an investigation was performed on the multimode dynamics and transverse-mode selection in VCSELs by the weak optical feedback in an external-cavity configuration 11 , a numerical study of the effects of the optical feedback on the static and dynamic characteristics of VCSELs under both single-mode and two-mode operations was reported 12 , and a theoretical model of transverse-mode control taking into account the distributions of carriers, optical field, and temperature was carried out 13 .…”