We present a method of measuring expectation values of quadrature moments of
a multimode field through two-level probe ``homodyning''. Our approach is based
on an integral transform formalism of measurable probe observables, where
analytically derived kernels unravel efficiently the required field information
at zero interaction time, minimizing decoherence effects. The proposed scheme
is suitable for fields that, while inaccessible to a direct measurement, enjoy
one and two-photon Jaynes-Cummings interactions with a two-level probe, like
spin, phonon, or cavity fields. Available data from previous experiments are
used to confirm our predictions.Comment: 4 pages, no figures, modified version with experimental estimation