Electron-cyclotron maser utilizing free-electron two-quantum magnetic-wiggler radiation, and explanation of effective laser injection in an electron cyclotron maser as lift-up of saturated power level arisen from uncertainty in electron energy due to electron’s transverse wiggling

We reason that in the free-electron radiation if the transition rate τ is less than the radiation frequency ν, the radiation is of broad-band spectrum whereas if τ ≫ ν, the radiation is of monochromatic. We find that when a weaker magnetic wiggler (MW) is superpositioned on a predominantly strong uniform magnetic field, free-electron two-quantum magnetic-wiggler (FETQMW) radiation takes place. In FETQMW radiation, the MW and the electron’s intrinsic motivity to change its internal configuration through radiation play as two first-order perturbers while the uniform magnetic field acts as the sole zeroth-order perturber. When ΔE≪ hν, where ΔE is the uncertainty in the electron energy produced by transverse wiggling due to the MW in conjuction with a Heisenberg’s uncertainty principle ΔEΔx ~ h and E = (m2c4 + c2p2)1/2, the power of FETQMW radiation cannot exceed hν2. However, we find that this power cap is lifted by the amount of νΔE when ΔE ≫ hν holds [1,2]. This lift-up of the saturated radiation power is the responsible mechanism for the effective external injection of a 20 kW maser in an electron-cyclotron maser (ECM). We find that an MW-added ECM with radius 5 cm and length 1 m and operating parameters of the present beam technology can yield laser power of 50 MW at the radiation wavelength of 0.001 cm.