I've received a request, but I am not sure about its content because it has immediately vanished. I guess it's about a paper on soil moisture estimation from radar data. You may find at:
http://www.icpa.ro/proiecte/AgriTel_Radar.pdf
It is written in Romanian with an Annex in both French and English.
If I am wrong with your request, you may use the RG function "send a message".
There is a reference "drought" monitoring center using remote sensing technology, which was set up at the University of Nebraska - Lincoln (UNL). Anyway, there is no standard "drought" spatial products as such, but rather different approaches leading to less or better results. UNL's site is a very good start point. Another aspect to consider from the very beginning is the scale of your investigation and look for remotely-sensed data with a proper spatial resolution. For example, Landsat and ASTER have thermal channels at 120&60m (depending on instrument) and 90 m, respectively, which correspond approx. to the 1:50,000 scale. MODIS has also thermal channels, and in addition has interesting value-added products for your investigation (like Land Surface Temperature). The latter are freely available at high temporal resolution, but are generated at a reduced spatial resolution / scale (1000m).
It's also critical to clearly establish from the very beginning if your investigation is dealing with agricultural, hydrological, meteorological or socio-economic drought, or all these types, and build your conception and tool adequately.
I went through a thesis in my department and there were recommendations to use NIR or TIR product for soil moisture, explore hydrological drought and socioeconomic impacts of the drought. I want to use satellite based product for rainfall anamoly, SPI, ET instead of weather observatory data.
I suggest you to figure out whether you want to do lab/computer modeling works for your thesis. Once you figured out that you can look few recent journals and conference papers where you can get ideas. You can figure out their study limitation. You can start your thesis from that point. You can also use "SWAT", "HECHMS", "HSPF", "PRMS" and etc. to simulate stream flow/water quality of a particular watershed and discuss your findings.