Schmidt system is a famous optical system. The corrector equation based on the third-order aberration theory has been acknowledged all along. When the previous equation is confirmed in characteristic of the aspheric surface equation and optical design program ZEMAX, it is found that the equation of the corrector has some errors. Analyses of this problem are given. A new corrector equation is established. The new equation is confirmed seriously by the optical design program ZEMAX again, it can be deduced that the coefficient α=1/2r02, and the spherical aberration coefficient ΣS1=0. This improvement is very useful for the optical design of Schmidt system, which quickens the optimization and easily reaches the optimal design data.
In this paper, a kinoform with the characters of two-channel was fabricated by adding quadratic phase factors into Fourier frequency spectrum of object. We adopt the Gerchberg-Saxton (G-S) iterative algorithm and iterate many times between the space field and frequency spectrum field, while keeping the amplitude of frequency spectrum approximately to constant. The phase of the spectrum is quantified. An eight-phase-level kinoform of two-channel is fabricated by using the micro-optical technique. The two separate reconstruction images are clear and the efficiency of the diffraction is 58.5%.
In this paper, we propose a new scheme to generate a dark hollow-beam, which includes dark hollow-beam optical pipe and hollow-beam optical dipole trap, through using a system composed of a four steps phase plate and a spherical lens. This kind of light beam can be used to focus, guide and trap the cold atom. We also calculate the intensity distributing and characteristic parameters of a dark hollow-beam and the optical dipole potential which manipulate the cold atoms of 85Rb. At last, we analyze and demonstrate the experimental feasibility of the scheme.
A phase type optical image differential filter made by binary optical method is presented in this paper. It combines two phase type Ronchi gratings which have close frequency with off-axis phase-Fresnel-zone plate, called self-focusing differential frequency grating filter. It has several advantages such as high diffraction efficiency, simple optical path and convenient operation.
The kinoform is attractive because of the high diffraction efficiency and the manner of on-axial reconstruction. In this work, we use the Gerchberg-Saxton iterative algorithms to optimize phase distribution of the kinoform. The phase in each pixel is then quantized into a set of eight-level values. The surface of quartz glass plate is etched to a depth determined by the corresponding phase retard, forming a kinform with stair-like surface relief. The optical experiments are canied out. The on-axial reconstruction image with high fidelity and high efficiency is obtained.
In this paper, a new method for inversion, shearing and rotation of the reconstructed images in Fourier computer- generated hologram is proposed. This method is simple just by means of conventional coordinate transformation of the frequency spectrum. The principles of this coordinate transformation are illustrated in this paper. Good agreement between the experimental results and the theoretical solution is demonstrated.
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