According to Coleman's following paper (link is attached), the eigenvector corresponding to negative eigenvalue is the tangent vector to the contour at z=1, the question is how to make sure this eigenvector actually correspond to negative eigenvalue and what's the reason behind choosing this particular function. ( The argument in the paper is on page 4, first paragraph just below eq.2.21).
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.16.1762
Maybe in a Radar Handbook, Third Edition: Merrill Skolnik, or possibly Electronic Warfare and Radar Systems Handbook - NAVAIR if you have access to it.
Generally a wire grid reflects most or all of of a microwave if the openings are smaller than the wave length, and reflects very little if the openings are much bigger than the wave length.
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