Various sampling techniques (using different traps) are discussed in Southwood’s Ecological methods (currently Henderson & Southwood, 4th edition, 2016). If possible, take a look at this book.
Dear Amamri, in fact theres is a differences between methods traps used for sandflies in America, here below put some links for main works about your question:
Article Sampling methods for Phlebotomus sandflies
Article Attractiveness of black and white modified Shannon traps to ...
http://www.bioline.org.br/pdf?oc15109
Article Comparison of sticky‐traps and CDC light‐traps for sampling ...
Definitely there are some types of traps (eg CDC light traps, Shannon traps, Disney trap, Adhesive trap, among others) to capture phlebotomine sand flies. It depends a lot on the objective of the study.
In our experience, in tropical forest from Mexico. The Shannon trap was very effective in terms of number of species and abundance. This trap aims to capture "anthropophilic" phlebotomine sand flies in the case of using protected human bait.
Incandescent light traps, such as CDC light traps, capture those species with a positive phototaxism and depend on the intensity of the light and wavelength emitted. Since you can also use LED light.
The traps that use an animal bait like the Disney trap that uses rodents as bait. These traps capture species attracted to the odors emanated by the rodents. "Rodentophilic" species.
Other traps that do not use any source of attraction, are traps by interception. Many of these are placed in burrows, holes in the ground or other places.
I hope this information helps you and I leave some articles about it
Article Effect of trapping methods on the estimation of alpha divers...
Poster Attraction of phlebotomine sand flies (Diptera: Psychodidae)...
Data Shannon trap for capture phlebotomine sand flies
Article Field evaluation of a new light trap for phlebotomine sand flies
Article An Evaluation of Light-Emitting Diode (LED) Traps at Capturi...