ABSTRACT. Radiative transfer theory is formul a ted to permit a m eaningful d efiniti o n o f emiss ivity fo r bulk emitting media such as snow. The emissivity in the Rayleigh-J ea ns approxima tion is then the mi crowave brightness temperature T B divided by an effective physica l te mpe ra ture ( T ) . The ( T ) is an average of the physical temperature, T (z), weighted by a radia tive tra nsfer fun ctio n f (z ). Similarly, CL) TB = ff (z )e(z) T (z) d z whe re e(z ) is the local emittance. An a pproxima te f (z) is used to determin e o a na ly ti cally the effects of va rious absorption coeffi cients, of sca tte ring coeffi cients that va ry with d epth, a nd of the seasonal variatio n o f T (z) . It is shown tha t a mea n emiss ivity, whi ch is equal to the mean a nnual T B divided by the mean annua l surface tempe ra ture Till , is a useful qua ntity fo r comparing theory and observatio ns. Snow-crystal size measurem ents, r (z), a t seve n loca tio ns in Greenland and Antarctica are used to d e termine the Mi e/ Rayle igh scattering coeffi cient ys(z) a nd to calcula te the m ean emissivities.The observed mean emiss ivities a re determined by a TB, whi ch is the a verage of 12 monthly (1.55 c m ) microwave observa tio ns, a nd the Tm m easured a t the sa m e locations. The calculated emiss ivities are a bout one-half of the obser ved values. The assumption tha t each snow crysta l is a n independent a nd equa lly effec tive scatterer , a nd the use of a n a pproxima tion to f (z), te nd to over-estimate the effe ct of sca ttering. Therefore, a p a r a m e ter multiplying y s(z) is used . T h e e missivities calculated with a single value of this empirical para m e te r for all seven loca tions agree well with the observed emissivities, showing that the microwave emissivity variations of dry pola r firn can be ch a r acterized as a fun c tion of the crys tal sizes . One optical d epth corres po nds to a typi cal firn d epth of 5 m , but significant radiatio n em a na tes from up to 30 m . Since r (z) d ep e nds on the snow a ccumula tion rate A a nd T rn, the sensitiv ity of the emissivity to changes in Tm or A are es tima ted using this semi-empirical theory. The results show tha t a one d egree cha nge or un certa inty in T m is a pproximately equivalent to a 10 % ch a nge in A, and tha t such a change will a ffect the emissivity by 0.003 to 0.0 14 or the Tn by a bout 0.6 K to 3 K , depending o n the location .
T (z ).On montre qu 'une e missivite moyenne, qui es t ega le a la m oye nne a nnuelle T B divisee par le tempe rature moyenne annuelle de surface Trn , est une qua ntite utilisable pour co mpa rer les theories et les observations. L es m esures des dimensio ns d es cristaux d e neige, r (z) en sept points du G roenla nd e t d e l' Anta rctique sont utilisees pour d etermine r le coeffi cient y s( z) d e dispersion d e Mie/R ayleigh e t p our calculer les emissivites moyennes. L es e miss ivites moyenn es o bservees sont d e te rminees pa r une va leur TB qui es t la moyenn e sur 12 observa tion...