Fig. 1. Calculated results to display the correspondence between quantum Green’s functions and classical periodic-orbit bundles for two cases: (a) (x˜s,y˜s)=(0,0) and (b) (x˜s,y˜s)=(0,2.6).

Fig. 2. Numerical calculations for the relationship between the pump-to-mode size ratio and the coefficient |bn,m|2 in the y direction for the location of the excitation source at (a) y˜s=0, (b) y˜s=1, and (c) y˜s=2.6.

Fig. 3. Experimental setup for a solid-state laser selectively end-pumped by a laser diode in a nearly hemispherical cavity.

Fig. 4. Experimental results for the output power and the lasing modes obtained by varying the pump power Pin for the source at (x˜s,y˜s)=(0,0). Bottom: theoretical patterns |GN(x˜,y˜;0)| for comparison.

Fig. 5. Calculation result for the coefficient cn,m as a function of the transverse order m of eigenmodes with various pump positions y˜s in the y direction.

Fig. 6. Transformed patterns for the lasing modes in Figs. 4(c) and 4(d). Right side: numerically reconstructed patterns.

Fig. 7. Experimental results for the output power and the lasing modes obtained by varying the pump power Pin for the source at (x˜s,y˜s)=(0,1). Bottom: theoretical patterns |GN(x˜,y˜;1)| for comparison.

Fig. 8. Experimental results for the output power and the lasing modes obtained by varying the pump power Pin for the source at (x˜s,y˜s)=(0,2.6). Bottom: theoretical patterns |GN(x˜,y˜;2.6)| for comparison.