Art wrote:
"If this is so, why do not Maxwell`s laws provide the role of particles
in radiation?"

Maxwell`s equarions adequately describe electrical behavior without
resort to particles.

Art should read "Radio-Electronic Transmission Fundamentals" by B.
Whitfield Griffith, Jr. Its first chapter is: "A Brief History of
Electrical Knowledge". Maxwell`s equations are covered in Chapter 38,
"The Mechanism of Radiation".

On page 9, Griffirh wrote:
"Maxwell studied deeply the equations he had written and noted that they
were similar in form to equations which were used to express the motion
of waves in water. This made it clear to him that electromagnetic waves
could exist, and he was able to calculate the speed at which they would
travel.

Best regards, Richard Harrison, KB5WZI