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Journal of the Optical Society of Korea

Journal of the Optical Society of Korea


  • Vol. 6, Iss. 3 — Sep. 30, 2002
  • pp: 121–127

Effect of Mirror Misalignments on Optical Ray Path In a Ring Resonator

Dong-Chan Lee, Jae-Cheul Lee, Seong-Hyun Son, and Hyun-Ju Cho  »View Author Affiliations

Journal of the Optical Society of Korea, Vol. 6, Issue 3, pp. 121-127 (2002)

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The operating principal of a ring laser gyroscope depends on the phase difference for the counter-propagating waves within a closed path. The reflecting mirrors mounted on the monoblock form the traveling waves. The manufacturing accuracy of the monoblock influences the traveling path of ray, the sensitivity of laser resonator for misalignments, and diffraction losses. A 3 <TEX>$\times$</TEX> 3 ray transfer matrix was derived for optical components with centering and squaring errors in a ring resonator. The matrix can be utilized to predict the optical ray paths on the basis of the manufacturing errors of the monoblock as well as the misalignment of mirrors. Then the distance and orientation (o. slope) at the arbitrary plane inside the resonator along the ideal optical path can be calculated from the chain multiplication of the ray transfer matrix for each optical component in one round trip. We also show that the counter-propagating rays In a ring resonator with errors does not coincide in each round trip, which results in gain difference between two beams, and how these errors can be adjusted through the alignment procedure. Finally this 3 <TEX>$\times$</TEX> 3 ray matrix formalism can be used to calculate the beam size and its displacement from the optical axis and the deviation at the diaphragm.

© 2002 Optical Society of Korea

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.4830) Optical design and fabrication : Systems design
(220.4880) Optical design and fabrication : Optomechanics

Original Manuscript: March 18, 2002
Published: September 1, 2002

Dong-Chan Lee, Jae-Cheul Lee, Seong-Hyun Son, and Hyun-Ju Cho, "Effect of Mirror Misalignments on Optical Ray Path In a Ring Resonator," J. Opt. Soc. Korea 6, 121-127 (2002)

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  1. Ishchenko E.F., Journal of Applied Spectroscopy, 11, 456 (1969) [CrossRef]
  2. A. Garrard and J. M. Burch, Introduction to Matrix Methods in Optics (John Wiley & Sons, 1975).
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  4. Anthony E. Sigman, Lasers (University Science Books, 1986)

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