Abstract

The spectral behavior of polychromatic spatially fully coherent light diffracted by an annular aperture in the far field is studied. It is shown that the spectrum in the far field is generally different from that at the aperture, i.e., the spectrum in the far field is proportional to the spectrum at the aperture and a spectral modifier, which depends on the central obstruction ratio ? and diffraction angle ?. Detailed numerical calculation results indicate that significant spectral changes take place in the vicinity of zeros of the Airy pattern. It is found that at the critical diffraction angle ?c, the spectrum is split into two lines, while at a diffraction angle a little smaller than ?c, the spectrum is red-shifted, and at a diffraction angle a little larger than ?c, the spectrum is blue-shifted. The influence of the central obstruction ratio on the spectral anomalies is presented.

© 2005 Chinese Optics Letters

Diffraction of Partially Coherent Light by an Aberration-Free Annular Aperture

K. Singh and H. S. Dhillon
J. Opt. Soc. Am. 59(4) 395-401 (1969)

Spectral coherence anomalies

Luyu Wang, Sergey A. Ponomarenko, and Zhizhang (David) Chen
Opt. Lett. 38(14) 2557-2559 (2013)

Near-field anomalous spectral behavior in diffraction of a Gaussian pulsed beam from an annular aperture

Yuanjie Yang, Qihui Zou, and Yude Li
Appl. Opt. 46(21) 4667-4673 (2007)

Far-field illumination of targets by annular apertures

D. B. Fenneman and D. R. Cruise
J. Opt. Soc. Am. 65(11) 1300-1305 (1975)

Spectral anomalies by superposition of polychromatic Gaussian beam and Gaussian vortex beam

Panfeng Ding, Jixiong Pu, Junhong Weng, and Pin Han
Opt. Express 22(17) 20193-20204 (2014)