We evaluate the eigenfields of an unstable Bessel–Gauss resonator (UBGR) by use of the transfer-matrix method in which the transverse profiles and their corresponding losses of the UBGR are
considered as the eigenvectors and eigenvalues of a transfer matrix so that the dominant
mode fields and their losses of the UBGR can be readily extracted in terms of the matrix eigenvalue
algorithm. Moreover, based on the eigenfields across two mirrors that resulted from the transfer-matrix
method, we simulate the field distributions in the cavity and the propagation of output beams by
means of the angular spectrum method. The computation results show that the UBGR easily
produces a fundamental Bessel–Gauss mode of good quality, and the output beams retain the
original Bessel–Gauss distribution during propagation.
© 2006 Optical Society of America
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