Wave Nature of Light

Light Waves in a Homogeneous Medium

Electric field Ex
Magnetic field By
Electromagnetic wave
traveling wave
time varying
perpendicular to each other and the direction of propagation: z
position z
time t
propagation constant, wave number k (2*pi/lambda)
wavelength lambda
angular frequency omega
wave amplitude E0
Phase constant phi0
Argument (omega*t – k*z + phi0) => phase phi
Monochromatic plane wave
wavefront
Faraday’s law: time varying magnetic field results in time varying electric fields and vice versa
optical field

z = a+b\,\mathrm i \\ |z| = \sqrt{a^2 + b^2} \\ z = r \cdot \mathrm{e}^{\mathrm{i}\varphi} = r \cdot (\cos \varphi + \mathrm{i} \cdot \sin \varphi) \\ \phi = \omega t - k z + \phi_0 \\ a^{x+y}=a^x \cdot a^y \\ a^{x\cdot y}=(a^{x})^{y} \\ {\displaystyle a^{-x}={\frac {1}{a^{x}}}=\left({\frac {1}{a}}\right)^{x}} \\ {\displaystyle {\sqrt[{q}]{a^{p}}}=a^{\frac {p}{q}}}