- 1/2 cup canola oil
- 1/2 teaspoon turmeric
- 1 tablespoon finely grated fresh lemon zest (from 2 lemons, grated with a rasplike Microplane zester)
- 1 qt fresh carrot juice (from about 3 1/2 lb carrots)
- 1 qt fresh orange juice
- 1 tablespoon minced peeled fresh ginger
- 2 stalks fresh lemongrass (lower 6 inches only), thinly sliced crosswise
- 2 fresh Thai red chiles, minced, including seeds
- 2 lb large shrimp in shell (21 to 25 per lb), peeled and deveined
- 2 carrots, cut into very thin matchsticks
- 3 navel oranges
- 1 fennel bulb, halved lengthwise
- 1 small red onion, halved lengthwise
- 3/4 cup fresh lime juice
- 1/4 cup 1-inch pieces fresh chives
- 2 tablespoons finely chopped fresh mint
- 1/2 teaspoon salt, or to taste
- Special equipment: a Japanese Benriner or other adjustable-blade slicer; a rasplike Microplane zester
- Cook oil, turmeric, and zest in a 1- to 2-quart saucepan over low heat, stirring frequently, 5 minutes. Transfer to a small bowl and chill at least 1 hour. Pour through a fine-mesh sieve into another small bowl (discard solids).
- Combine sauce ingredients in a 4- to 6-quart pot and boil, stirring occasionally, until reduced to about 2 cups, 30 to 40 minutes. Pour through a medium-mesh sieve into a bowl (discard solids), then set bowl in a larger bowl of ice and cold water to chill sauce.
- Cook shrimp in cleaned 4- to 6-quart pot of boiling salted water until just cooked through, 1 to 2 minutes. Drain and transfer to another bowl of ice and cold water to cool. Drain and halve lengthwise, then chill, covered.
- Heat 4 tablespoons lemon oil in a 10-inch heavy skillet over moderately high heat until hot but not smoking, then sauté carrots, stirring, until just tender, about 3 minutes. Spread carrots with oil from skillet on a plate and chill.
- Grate zest from oranges into a large bowl. Cut remaining rind and white pith from oranges with a sharp paring knife and discard. Cut orange segments free from membranes and add to zest.
- Slice fennel and onion very thinly crosswise with slicer.
- Stir carrots into orange mixture along with fennel, onion, lime juice, remaining lemon oil, chives, mint, and salt.
- Mound salad on 8 plates and top with shrimp. Drizzle about 3 tablespoons carrot sauce around each mound.