The Reflector Antenna Problem and its Connection to Mass Transport

The Reflector Antenna Problem and its Connection to Mass Transport

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June Kitagawa
Fine Hall 314

The reflector antenna problem is the problem of constructing a reflective surface which directs a specified energy distribution on the sphere to another specified energy distribution on the so-called far-field sphere. I will discuss some of the basic analytic and geometric facts of this problem, and a connection that has been discovered in recent years to Monge's optimal mass transportation problem.