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  • Vol. 14, Iss. 12 — Jun. 15, 1989
  • pp: 627–629

Coherence theoretic algorithm to determine the transverse-mode structure of lasers

Jari Turunen, Eero Tervonen, and Ari T. Friberg  »View Author Affiliations


Optics Letters, Vol. 14, Issue 12, pp. 627-629 (1989)
http://dx.doi.org/10.1364/OL.14.000627


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Abstract

We introduce an algorithm to determine the relative modal weights of a laser beam with Hermite–Gaussian modes. The method is based on coherence theory of stable resonator modes in the space–frequency domain. Numerical simulations are presented that show that the algorithm is not sensitive to moderate levels of noise.

© 1989 Optical Society of America

History
Original Manuscript: September 14, 1988
Manuscript Accepted: March 17, 1989
Published: June 15, 1989

Citation
Jari Turunen, Eero Tervonen, and Ari T. Friberg, "Coherence theoretic algorithm to determine the transverse-mode structure of lasers," Opt. Lett. 14, 627-629 (1989)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-14-12-627


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References

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  15. The approximations made here are consistent with the physical model, in which the multimode wave field itself is expanded as U(x, z, ω) = Σnan(ω)ψn(x, z, ω). In this equation the coefficients an(ω) are random, uncorrelated (they represent slightly different frequency components), and satisfy 〈an*(ω)am(ω)〉 = λn(ω)δnm, where the angular brackets denote ensemble averaging. Definition of the cross-spectral density W(x1, x2, z; ω) = 〈U*(x1, z, ω)U(x2, z, ω)〉 then leads to relation (3) of the text.
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