MODIFIED SYSTEM OF MAXWELL EQUATIONS ON THE BASE IT’S BIQUATERNIONIC FORM. SHOCK ELECTROMAGNETIC WAVES

Abstract

Abstract. The system of Maxwell equations and its hamiltonian biquaternioniс form are considered with use of differential algebra of biquaternions. Modified biquaternionic form, hamiltonian form and the associated modified system of Maxwell equations of hyperbolic type are built with introducing the scalar α- field in the biquaternion of intensity of EM- field. Electromagnetic shock waves are considered as generalized solutions of biwave equations to which the biform of Maxwell equations is reduced. Conditions on the jump of electric and magnetic intensities on the shock waves fronts have been built. It’s shown, that shock electromagnetic waves of modified equations contain longitudinal components of the intensities at the front. That’s confirmed by numerous experimental observations which are widely