Nonlinear transformation optics techniques in the design of counter-directed energy weapons shields for satellites
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The purpose of this thesis is to examine the feasibility of using an emerging technique, called transformation optics (TO), in designing materials to be used as a defense against directed energy weapons for satellites. In order to do this, a method of determining the effectiveness of TO against high-intensity fields must be demonstrated. These high-intensity fields will cause a nonlinear response in the material and it is this nonlinear response that will be studied. TO has been shown to be effective when dealing with lower intensity fields and thus linear responses in matter. This thesis will attempt to model the nonlinear response and solve for the fields due to this response. The fields induced by the nonlinear response are considered an error field. To solve for the error field, a method to model the nonlinear response will be derived using Millers Rule. Stemming from the Lorentz-Drude model of polarization, Millers Rule serves as a model of the nonlinear response but has been shown experimentally to be approximately true. Once the nonlinear response has been found, the error can be analyzed as an electrostatic problem to determine if the polarization or magnetization induces a field within the cloaked area.
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