Derivation of Maxwell's Equations Using Field-Impulses

Abstract

Recently, new fundamental equations for electromagnetics have been presented using field-impulses as physical field-integrators. The field-impulses are physically real, causal and gauge-independent for aptly describing electromagnetics. This paper presents the derivation of Maxwell's (Faraday and Ampere) equations using field-impulses. The derivation assumes that the equations are not available in complete explicit form beforehand, and only makes references to some earlier key findings before Maxwell. It also exploits judiciously the definition and relation of field-impulses, the physical reality of their time/spatial derivatives and their mathematical (e.g. solenoidal) properties. Being the necessary and sufficient fundamental physical quantities, the field-impulses find usefulness in field derivation as well as many aspects of classical and quantum electromagnetics.