Transverse electric waves

DEFINITION TRANSVERSE ELECTRIC (TE) WAVES OR H WAVES IN PARALLEL PLANES:

In the case, the component of electric field vector E lies in the plane transverse to the direction of propagation that is there is no component of E along the direction of propagation where as a component of magnetic field vector H lies along the direction of propagation.

Derivation of transverse electric waves in parallel planes:

As the direction of propagation is assumed as z-direction, therefore

Ez = 0 and Hz is not equal to 0

Now by substituting Ez = 0 in equation (8) of article “waves between parallel planes”, we get

Ex= 0 and Hy = 0 and

Ey not equals to 0 , H not equals to 0

Now write wave equations for free space in terms of E

Ñ2E =g2gE

= -w2μεE                     (because g2g = (jwμ) (σ + jwε) As σ =0(from                                                                            assumption  (c) of article “waves between parallel planes” => g2g =-w2με)

Or                    d2E/dx2 + d2E/dy2 + d2E/dz2 = -w2μεE

For the y component, the wave equation will become Continue reading “Transverse electric waves”