Is it possible to solve these partial differential equations directly, relating to Antenna Theory;(adsbygoogle = window.adsbygoogle || []).push({});

[tex]∇^2 E - μ_0 ε_0 \frac{∂^2E}{∂t^2} = -μ_0 \frac{∂J}{∂t}.[/tex] AND [tex]∇^2 B - μ_0 ε_0 \frac{∂^2B}{∂t^2} = -μ_0 ∇ x J.[/tex]

I don't like the idea of having to make up fields that don't exist in order to make the math work. The x is a cross product not a variable or multiplication.

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# Electromagnetic Wave Equation

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