Bring the vegetable broth to a boil in a saucepan. You will be using it as a court bouillon - a poaching liquid for the shrimp. The court bouillon is not actually part of the soup. Poach the shrimp in their shells until just pink and remove to a platter to cool. (Shrimp cooked in its shell retains more flavor).
While the shrimp are cooling, combine the cucumbers, tomatoes, jalapeno, onion, tomatillos, cantaloupe, and honeydew melon in a food processor and pulse to coarsely chop. Remove to a bowl and squeeze in the juice of the fresh lemon, being careful not to drop any remaining lemon seeds into the mix. Add the chopped chives, and stir to combine.
Peel the shrimp and finely dice. Stir the shrimp into the fruit/vegetable mixture and season, to taste, with salt and pepper. Chill well.
In the episode, we served this gazpacho as an hors d'oeuvres in porcelain Chinese spoons. You can do the same or be creative by using your own choice of individual serving vessel such as sake cups, rice bowls or even 2 ounce ramekins with demitasse spoons. It can also be served as an appetizer in soup bowls.
Recipe courtesy of Robert Irvine with Brian O'Reilly. Harper Collins Publishers, copyright 2007