Ingredients of a Casimir analog computer

We present the basic ingredients of a technique to compute quantum Casimir forces at micrometer scales using antenna measurements at tabletop, e.g. centimeter, scales, forming a type of analog computer for the Casimir force. This technique relies on a correspondence that we derive between the contour integration of the Casimir force in the complex frequency plane and the electromagnetic response of a physical dissipative medium in a finite, real frequency bandwidth.