spans about 80 Octaves (visible region is 1 Octave wide, almost), where Octave is a logarithmic scale in powers of 2. In this, where frequency scale spans about 10^24, the material or medium that supports the passage of a particular band of frequencies,......
The next concept is the conditions for a wave to propagate - whether energy is guided like in wires and cables or broadcast through a medium launched by antennas while transmitting or receiving. EM spectrum known and worked daily by Man, spans about 80 Octaves (visible region is 1 Octave wide, almost), where Octave is a logarithmic scale in powers of 2. In this, where frequency scale spans about 10^24, the material or medium that supports the passage of a particular band of frequencies, has those parametres. For a different band, the same medium's behaviour is drastically different. Glass is transparent to visible light allowing all colours (ROYGBIV) but is opaque or pitch dark to IR, where Germanium is used as lens material. An extremely thin gold foil may allow high power (high end) Gamma rays, but presents a Yellow opacity to visible light. Walls in the room allow Radio and higher wavelength microwaves unhindered passage that enables my working on this laptop, through a WiFi link (at about 2.5 GHz frequency) of about 20 metres, through EM waves. A sieve like Radio dish actually 'mirrors' (like the reflector in a telescope; no different functionally) the Radio waves.
The equations you stated are the 'nuts & bolts'.But work can't start without them and just by talking (like a politician if I may say so), one can't get far; particularly so if he is interested in knowing (learning) instead of depending on others. Lenz's & Faraday's laws are differently stated Maxwell's equations. The best book (I still use it) is Jordan's "Electromagnetic Waves & Fields". You may find another suitable book for your taste. Best way to understand the phenomena lies in Maxwell's equations (as they say in Indian scriptures "Twamaeva Sharanam mama, anyadhaa Sharanam naasti"= I take refuge in you as I have no other go).
