  We report a fully-correlated multi-mode pumping architecture optimized for
dramatic noise reduction of a class-A dual-frequency Vertical External Cavity
Surface Emitting Laser (VECSEL). Thanks to amplitude division of a laser diode,
the two orthogonally polarized modes emitted by the VECSEL oscillating at 852
nm are separately pumped by two beams exhibiting fully in--phase correlated
intensity noises. This is shown to lead to very strong and in-phase
correlations between the two lasing modes intensities. As a result, the phase
noise power spectral density of the RF beat note generated by the two modes
undergoes a drastic reduction of about 10 to 20 dB throughout the whole
frequency range from 10 kHz to 20 MHz and falls below the detection floor above
a few MHz. A good agreement is found with a model which uses the framework of
rate equations coupled by cross--saturation. The remaining phase noise is
attributed to thermal effects and additional technical noises and lies mainly
within the bandwidth of a phase-locked-loop.
