A summary of the intense quantum oscillations occurring within the cross-channel cavity of a free electron laser is presented and discussed. Inside this cavity, the electronic laser operates, introducing a novel method for generating tunable radiation oscillations. This process involves electrons interacting with electromagnetic fields to produce quantum halos of electricity, which are then subjected to inverse scattering. When using a cross-channel cavity to amplify the radiant power inside the cavity, the Ay radiant power increases, while simultaneously mitigating the losses caused by the cavity mirror's thickness. This approach effectively addresses issues related to radiation output, particularly when dealing with right-angle cavities where self-excited electrons play a critical role.
For certain applications, there is a need for wavelength-tunable coherent sources of quantum radiation, such as y and X-rays. These sources have practical applications in solid-state physics, nuclear physics research, medical diagnostics like tomography, and even cancer treatment through targeted irradiation. Coherent radiation is advantageous because it can be easily focused and delivers energy more precisely to localized areas.
The concept of inverse Compton scattering involving relativistic electron beams offers a pathway to producing coherent y and X-rays. Initially proposed was the idea of utilizing a free electron laser within the electron beam's own cavity to generate frequency-tunable y-quanta via inverse Compton scattering. The resulting hard radiation not only spans a broad frequency range but also exhibits polarization properties. The wavelength of y-quanta radiation adheres to a general formula, assuming that the diameters of the electron beam and the laser beam are roughly equal at the scattering point, corresponding to optimal conditions for scattering. Under these circumstances, the number of quanta produced by an electron pulse equals the injection frequency of the electron pulse divided by the average rate of hard quantum generation over a given time period. For instance, a high-power free electron laser developed by the Institute of Nuclear Physics (PWO COPAH) of the Siberian Branch of the Russian Academy of Sciences estimated the quantum number and average generation rate, with the results tabulated in Table 1. By comparing the parameters of two devices, one can determine the range of hard quantum generation rates.
The radiation emitted consists of a series of macropulses, each approximately 3 nanoseconds wide, with a repetition rate of 10 to 30 Hz. Each macropulse comprises around 8,500 micropulses, each lasting 1 picosecond with an energy of 6 joules. Free electron laser radiation is anticipated to consist of micropulses approximately 20 picoseconds wide, with an energy of about 1 millijoule and a repetition rate of 180 MHz. In both scenarios, it is assumed that the interaction zone's spot area is 0.1 square centimeters. In specific experiments, the cross-sectional area of the electron beam significantly impacts the efficiency of hard quantum oscillations. It is important to note that reducing the beam diameter below the size of the electron beam does not provide any additional benefits. Furthermore, the geometry of the optical cavity, which determines the beam diameter, greatly influences the operational efficiency of the free electron laser, specifically the pulsed laser power circulating in the cavity. Thus, parameter S requires optimization for particular experimental setups.
The average hard quantum generation rate on the electron cyclotron device represents the final operational efficiency of the radiator based on the working time of the device. The average hard quantum generation rate of the linear accelerator Mark-DI, as listed in Table 1, is calculated based on the width of the macropulse, which is 3 nanoseconds. To obtain the final operational efficiency, the injection frequency of the macropulse must be averaged over a range of 10 to 30 Hz. Selecting an injection frequency of 30 Hz ensures the average stable generation during the device's working time. To compare the hard quantum numbers and generation rates of micropulses from previous experiments, it is noted that the micro-pulse radiation here produces 400 hard quanta, which is significantly higher than Mark-Dish (dA) = 0.75 x 1 (H), but comparable to the data from the electron cyclotron device (C = 83).
During the macropulse, the average hard quantum generation rate is approximately 2.5 x 10^10 S^-1 (with a micropulse repetition period of 16 nanoseconds). This value surpasses the electron cyclotron device data (1.5 x 10^10 S^-1). However, when the observed average time far exceeds the repetition period of the macropulse, the situation changes fundamentally. The average hard quantum generation rate of the electron cyclotron device remains at 1.5 x 10^10 S^-1, while the actual data in experiments involving accelerators Mark-HI and others are lower due to mirror surface degradation caused by high-power laser radiation and Compton hard radiation, along with the absorption of hard quantum radiation in the mirror's thickness. This article suggests using a cross-channel cavity as an optical cavity to eliminate all three factors reducing the rate of hard quantum generation.
The application of cross-channel cavities in high-power free-electron lasers is notable for the relatively high intensity and extended lifespan of hard radiation. These cavities can potentially be developed into tunable coherent hard radiation sources, addressing specific challenges in fundamental and applied physics, as well as offering innovative solutions in modern medicine.
Table 1 provides a qualitative estimation of free electron laser parameters and Compton radiation parameters. Laser H-tumor remarks include electron beam current, electron concentration, laser, and photonic considerations.
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