A systematic and comprehensive analysis of the interference of four umbrellalike beams (IFUB) is provided based on the reciprocal space theory. The concept of pattern contrast is extended to the case of the IFUB, and it is indicated that a uniform contrast for all the interference terms can be obtained by properly choosing the beam ratio and the polarization of each beam. Different polarization combinations, including linear light and linear light, circular light and circular light, and linear light and circular light, have been discussed for the purpose of maximum uniform contrast. It is shown that the use of circular light may generally improve the uniform contrast. This study may lay a theoretical foundation for holographic fabrication of three-dimensional (3D) periodic microstructures, such as simple cubic, body-centered cubic, face-centered cubic, or trigonal lattice.
© 2002 Optical Society of America
Original Manuscript: June 7, 2002
Revised Manuscript: August 20, 2002
Published: November 10, 2002
Xiulun Yang, Luzhong Cai, and Qing Liu, "Polarization optimization in the interference of four umbrellalike symmetric beams for making three-dimensional periodic microstructures," Appl. Opt. 41, 6894-6900 (2002)