A complete solution is given for the problem of constructing a plane stratified dielectric medium having that the property that at a fixed frequency and polarization a plane wave at any angle of incidence will be transmitted without reflection by the medium. This problem can also be interpreted quantum-mechanically. The dielectric medium of the first interpretation becomes, in the second interpretation, a potential for the one-dimensional Schrödinger equation such that a particle which is sent in from - ∞ is transmitted with probability one of getting through to + ∞, no matter what the initial kinetic energy of the particle may be. In addition, the results can be applied to the problem of finding perfectly matched nonuniform transmission lines.

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i This domwuwt kas Lwm approwad fur pabiW rds a~d ofts in dkstbudon kui's hmemi. Quailfhd requastr MaW chum Mdidoa =sPIN ftM ga Defense Docu~tmnstlc CmWme AN a"ur *aid SPPly 2D V9 Clemriahnuoo for Fed"ra Scientfic me TeaduekW I mNfrlsp AFCPL.70.0320 MAY 1970 PHYSICAL SCIENCES RESEARCH PAPERS, NO. 419 AERONOMY LABORATORY P"ROJECT 7635 -This document has been approved for pubfic i release and scile; Its distribution is unlimited I OFFICF OF AEROSPACE RESEARCH United States Air Force a * i•-m J J m m m J • m -

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