Calculation of the eigenfunctions of two lens imaging system

摘要

The eigenfunctions of optical operator describing a finite two-lens imaging system are considered accounting for a radial symmetry. Obtained functions are analogue of the generalized spheroidal functions, which are eigenfunctions of finite Hankel transform. A peculiarity of the considered calculations of the bounded lens system is in accounting for the system's physical characteristics. A possibility of formation of a radially symmetrical optical signal, which transfers without distortions as a superposition of eigenfunctions matching the parameters of the optical system, is demonstrated. Gaussian-beam transfers through the imaging systems with circular and with rectangular apertures are compared.