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Papers by Stephen Doty
Essay On The Gravitational Properties of Negative Refractive Index Metamaterials
Metamaterials are synthetic materials that exhibit properties not usually found in natural materi... more Metamaterials are synthetic materials that exhibit properties not usually found in natural materials. One such property that has been of great importance to the study of optics is a negative refractive index within the metamaterial. This property implies negative permeability and permittivity for the metamaterial. Using and deriving the electromagnetic stress energy tensor in Minkowski space as an approximation in the weak field limit, the gravitational curvature effects of such meta-materials will be investigated. The basic example of a capacitor and inductor will be used to illustrate the mathematical results.
Maxwell's Equations, Magnetic Monopoles, and Longitudinal Electromagnetic Waves via Unipolar Induction Analysis
The present paper investigates the mathematics involved in analyzing Michael Faraday's famous uni... more The present paper investigates the mathematics involved in analyzing Michael Faraday's famous unipolar induction experiment. Through this investigation, a more general form of Maxwell's equations will be derived. In recent years, experimental evidence of magnetic monopoles created in spin ice has been observed and longitudinal scalar electromagnetic waves created by a charged spherical antenna have been measured. Based on this experimental evidence, longitudinal electromagnetic waves must be able to be derived from Maxwell's equations, which classically explain the electromagnetic phenomena. Therefore, longitudinal scalar electromagnetic waves will be investigated via the use of magnetic monopole charge and the derived alternative form of Maxwell's equations.
Essay On The Gravitational Properties of Negative Refractive Index Metamaterials
Metamaterials are synthetic materials that exhibit properties not usually found in natural materi... more Metamaterials are synthetic materials that exhibit properties not usually found in natural materials. One such property that has been of great importance to the study of optics is a negative refractive index within the metamaterial. This property implies negative permeability and permittivity for the metamaterial. Using and deriving the electromagnetic stress energy tensor in Minkowski space as an approximation in the weak field limit, the gravitational curvature effects of such meta-materials will be investigated. The basic example of a capacitor and inductor will be used to illustrate the mathematical results.
Maxwell's Equations, Magnetic Monopoles, and Longitudinal Electromagnetic Waves via Unipolar Induction Analysis
The present paper investigates the mathematics involved in analyzing Michael Faraday's famous uni... more The present paper investigates the mathematics involved in analyzing Michael Faraday's famous unipolar induction experiment. Through this investigation, a more general form of Maxwell's equations will be derived. In recent years, experimental evidence of magnetic monopoles created in spin ice has been observed and longitudinal scalar electromagnetic waves created by a charged spherical antenna have been measured. Based on this experimental evidence, longitudinal electromagnetic waves must be able to be derived from Maxwell's equations, which classically explain the electromagnetic phenomena. Therefore, longitudinal scalar electromagnetic waves will be investigated via the use of magnetic monopole charge and the derived alternative form of Maxwell's equations.