OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 6, Iss. 8 — Aug. 1, 1989
  • pp: 1137–1141

Young’s interference fringes with multiple-transverse-mode laser illumination

Kiichi Takamoto  »View Author Affiliations

JOSA A, Vol. 6, Issue 8, pp. 1137-1141 (1989)

View Full Text Article

Enhanced HTML    Acrobat PDF (455 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A laser light field oscillating in a multitude of transverse modes is analyzed to estimate the degree of coherence of the field. The phasor amplitude of the laser light is described using the expression for a confocal resonator field derived by Boyd and Gordon [ Bell Sys. Tech. J. 40, 489 ( 1961)]. The fringe visibilities around the optical axis are calculated by using a one-dimensional model with two sampling apertures. Light containing only even modes has a visibility of 1. The odd modes have a great influence on the degradation of visibilities.

© 1989 Optical Society of America

Original Manuscript: April 7, 1988
Manuscript Accepted: March 23, 1989
Published: August 1, 1989

Kiichi Takamoto, "Young’s interference fringes with multiple-transverse-mode laser illumination," J. Opt. Soc. Am. A 6, 1137-1141 (1989)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. V. Pol, J. H. Bennewitz, G. C. Escher, M. Feldman, V. A. Firtion, T. E. Jewell, B. E. Welcomb, J. T. Clements, “Excimer laser-based lithography: a deep ultraviolet wafer stepper,” in Optical Microlithography V, H. L. Stover, ed., Proc. Soc. Photo-Opt. Instrum. Eng.633, 6–16 (1986). [CrossRef]
  2. M. Sasago, M. Endo, K. Ogawa, T. Ishihara, “Half-micron photolithography using a KrF excimer laser stepper,” in 1986 International Electron Device Meeting Technical Digest (Institute of Electrical and Electronics Engineers, New York, 1986), pp. 316–319. [CrossRef]
  3. B. J. Thompson, E. Wolf, “Two-beam interference with partially coherent light,”J. Opt. Soc. Am. 47, 895–902 (1957). [CrossRef]
  4. B. J. Thompson, “Illustration of the phase change in two-beam interference with partially coherent light,”J. Opt. Soc. Am. 48, 95–97 (1958). [CrossRef]
  5. B. J. Thompson, R. Sudol, “Finite-aperture effects in the measurement of the degree of coherence,” J. Opt. Soc. Am. A 1, 598–604 (1984). [CrossRef]
  6. A. S. Marathay, D. B. Pollock, “Young’s interference fringes with finite-sized sampling apertures,” J. Opt. Soc. Am. A 1, 1057–1059 (1984). [CrossRef]
  7. F. T. S. Yu, Y. W. Zhang, “Fringe visibility of dual-aperture sampling with partially coherent illumination,” Appl. Opt. 25, 3191–3196 (1986). [CrossRef] [PubMed]
  8. G. D. Boyd, J. P. Gordon, “Confocal multimode resonator for millimeter through optical wavelength masers,” Bell Sys. Tech. J. 40, 489–508 (1961).
  9. J. W. Goodman, Statistical Optics (Wiley, New York, 1985).
  10. T. E. Jewell, J. H. Bennewitz, G. C. Escher, V. Pol, “Effect of laser characteristics on the performance of a deep UV projection system,” in Lasers in Microlithography, D. J. Ehrlich, J. Y. Tsao, J. S. Batchelder, eds., Proc. Soc. Photo-Opt. Instrum. Eng.774, 124–132 (1987). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited