Generalized ray matrix for spherical mirror reflection and its application in square ring resonators and monolithic triaxial ring resonators

Yuan, Jie; Long, Xingwu; Chen, Meixiong

doi:10.1364/oe.19.006762

Cited by 22 publications

(13 citation statements)

References 20 publications

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“…Beam-path variation can be affected by 3 kinds of translational displacements and 3 kinds of angular misalignments of every mirror of the resonator [21]. Beam-path variation induced by all the possible perturbation sources can be analyzed in detail with vector method.…”

Section: Analysis Methodsmentioning

confidence: 99%

“…Beam-path variation induced by all the possible perturbation sources can be analyzed in detail with vector method. According to discussions in our previous papers [21], planar mirror's radial displacements can be ignored because planar mirrors 3,4 have a radius of ∞. For a ring laser cavity after machining, the angles of the terminal surfaces have been determined.…”

Section: Analysis Methodsmentioning

confidence: 99%

“…Optical-axis perturbation of monolithic triaxial ring resonators has also been discussed in previous articles [18][19][20][21]. In summary, the optical-axis perturbation in planar or nonplanar ring resonators has been discussed extensively [10][11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 92%

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Generalized model for beam-path variation in ring resonator and its applications in backscattering coupling effect

et al. 2012

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A generalized model for beam-path variation analyzed with vector method in square ring resonators is established. The model can be applied to analyze beam-path variation in various ring resonators induced by all the possible perturbation sources. The generalized model is useful for the cavity design, cavity improvement, alignment of planar ring resonators and research on backscattering coupling effect. Backscattering coupling effect in square ring resonator has been chosen as examples to show its application. Backscattering coupling coefficient r is obtained as a function of mirror's axial displacements. Some novel results of backscattering coupling effect have been acquired. The results indicate that r can not be reduced to zero because of the initial machining errors of surfaces of plane mirrors. However, r can be reduced to zero almost when stabilizing frequency of laser gyro by take the suitable values of axial displacements of plane mirrors. These results are important for high precision laser gyro.

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Section: Analysis Methodsmentioning

confidence: 99%

Section: Analysis Methodsmentioning

confidence: 99%

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Generalized model for beam-path variation in ring resonator and its applications in backscattering coupling effect

et al. 2012

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“…A reflection on the spherical mirror with the radius of curvature R i for the beam with the incident angle μ i can be defined by the matrix [14] ( )…”

Section: Theoretical Analysismentioning

confidence: 99%

Statistical analysis on the optical axis perturbation in nonplanar ring resonators

2011

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Based on the ray matrix theory, we theoretically analyzed the property of the optical axis perturbation versus L/r (L means the total length of the resonator and r is the radius of curvature of the mirrors in the resonator) in the nonplanar ring resonators by using statistical method for the first time as we know in this paper. The results show that the root mean square of the optical axis tilt change evidently versus L/r while the optical axis decentration have a subtle change versus L/r for the case that the mirror misalignments are confined in a certain scope and chosen arbitrarily. From the perspective of optical axis perturbation, we can find the configuration parameters with which the optical axis perturbation in the resonator responds violently to the mirror radial displacement or misalignment angle. These interesting findings are important for cavity design, improvement, and alignment of nonplanar ring resonators.

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“…Generalized ray matrix for spherical mirror reflection has been proposed in our previous paper [15].…”

mentioning

confidence: 99%

Generalized model for beam-path variation induced by spherical mirrors' radial displacements in square ring resonator and its applications in backscattering coupling effect

et al. 2012

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Based on augmented ray matrix approach, a generalized model for beam-path variation induced by spherical mirrors' radial displacements has been established. The model can be applied to analyze beam-path variation induced by all the possible perturbation sources in various ring resonators.Backscattering coupling coefficient r is obtained as a function of mirrors' radial displacements. Some novel results of backscattering coupling effect have been obtained. The results indicate that radial displacements cause bigger beam-path variation than the same value of axial displacements. r can not be reduced to zero because of the initial machining errors of terminal surfaces of plane mirrors.However, r can be reduced to almost zero when stabilizing frequency of laser gyro by adjusting the radial displacements of spherical mirrors. This generalized model is useful for the cavity design, cavity improvement, and alignment of planar ring resonators. The model is also useful for controlling the shape of laser beams and researching backscattering coupling effect in high precision laser gyroscopes.

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Generalized ray matrix for spherical mirror reflection and its application in square ring resonators and monolithic triaxial ring resonators

Cited by 22 publications

References 20 publications

Generalized model for beam-path variation in ring resonator and its applications in backscattering coupling effect

Generalized model for beam-path variation in ring resonator and its applications in backscattering coupling effect

Statistical analysis on the optical axis perturbation in nonplanar ring resonators

Generalized model for beam-path variation induced by spherical mirrors' radial displacements in square ring resonator and its applications in backscattering coupling effect

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