Optical-axis perturbation singularity in an out-of-plane ring resonator

Sheng, Shinan-Chur

doi:10.1364/ol.19.000683

Cited by 20 publications

(7 citation statements)

References 7 publications

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“…Ray matrix method has been widely used to analyze optical axis perturbations in various 3D optical systems [12][13][14][15]. Sheng [12] used a matrix approach to determine the optical axis perturbation sensitivity of an out-of-plane stable ring resonator.…”

Section: Introductionmentioning

confidence: 99%

Optical Axis Perturbation Analysis for the Unit‐Magnification Multipass System

Guo

Sun

Yang

2017

Mathematical Problems in Engineering

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The optical axis sensitivity for the unit-magnification multipass system (UMS) is presented by using a general misaligned optical element transfer model. The generalized sensitivity factors SD1, SD2, ST1, and ST2 influenced by both the axial and angular misalignments of the objective mirrors in a UMS have been calculated for the first time. The Bernstein-Herzberg White Cells are used as an example, and their alignment tolerance and stability properties are found when their configurations change. The analysis in this paper is helpful for the design of other kinds of multipass gas cells (MGC) with high robustness and avoiding the violent vibration of the optical axis when the misalignment of each mirror is controlled within the tolerance range. Among the five possible perturbations sources, the misaligned factors δix,δiy,θix have more effects on the output beam’s position and the perturbed sources from δix,θix and δiy,θiy have more impacts on the output beam’s slope referred to as x-axis and y-axis, respectively. Higher reflection times mean smaller tolerance range. The results benefit the multipass cell design and the precise alignment of the mirrors within the cell with the purpose of long-term stability in measurements.

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Section: Introductionmentioning

confidence: 99%

Optical Axis Perturbation Analysis for the Unit‐Magnification Multipass System

Guo

Sun

Yang

2017

Mathematical Problems in Engineering

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“…Nonplanar ring resonators have modified misalignment or optical-axis stability properties is analyzed by several authors [12][13][14][15][16][17]. Optical-axis perturbation of monolithic triaxial ring resonators has also been discussed in previous articles [18][19][20][21].…”

Section: Introductionmentioning

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]. However, the beam-path variation in any form of resonator, which is a decisive parameter of backscattering coupling effect, has not been discussed in detail before.…”

Section: Introductionmentioning

confidence: 99%

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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“…The optical axis perturbation induced by the radical and angle misalignments on the surface of the mirror have been analyzed by several authors [9][10][11][12]. As we know, the values of the parameters to characterize mirror misalignments and optical axis perturbation in a nonplanar ring resonator can exist randomly within a certain scope.…”

Section: Introductionmentioning

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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Optical-axis perturbation singularity in an out-of-plane ring resonator

Cited by 20 publications

References 7 publications

Optical Axis Perturbation Analysis for the Unit‐Magnification Multipass System

Optical Axis Perturbation Analysis for the Unit‐Magnification Multipass System

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

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