Beam deflection and isolation in laser amplifiers

Casperson, Lee W.; Sheldrake, S.

doi:10.1016/0030-4018(74)90117-5

Cited by 11 publications

(7 citation statements)

References 4 publications

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“…(14) and (16). In the x direction the slope is found to be (24) where d~a == ddxa/dz. Often, the input and output planes are chosen to be in a homogeneous dielectric medium (or free space), and in this case Eq.…”

Section: Generalized Beam Matrix For Curved Complex Lens Like Mediamentioning

confidence: 95%

“…Often, the input and output planes are chosen to be in a homogeneous dielectric medium (or free space), and in this case Eq. (24) reduces to…”

Section: Generalized Beam Matrix For Curved Complex Lens Like Mediamentioning

confidence: 99%

“…Once the generalized beam matrix is known, the procedure to propagate a Gaussian beam's position, slope, spot size, and phase front curvature involves the use of the intermediate complex parameters Qx and Sx, which may be obtained from Eqs. (19) and (24), respectively. The output beam parameter, Qx(z), and the output displacement parameter, Sx(z), may be obtained from Eqs.…”

Section: Generalized Beam Matrix For Curved Complex Lens Like Mediamentioning

confidence: 99%

“…The Gaussian beam's output parameters of interest may then be obtained from Eqs. (19) and (24). For z-independent ko and k 2x , the GAz) and HAz) integrations in Eq.…”

Section: Generalized Beam Matrix For Curved Complex Lens Like Mediamentioning

confidence: 99%

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Generalized beam matrices: Gaussian beam propagation in misaligned complex optical systems

Tovar

Casperson

1995

J. Opt. Soc. Am. A

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A novel 3 X 3 transfer-matrix method is developed to propagate off-axis Gaussian beams in astigmatic optical systems that may include tilted, displaced, or curved optical elements. Unlike in a previous generalized ray matrix formalism, optical elements that possess gain or loss such as Gaussian apertures, complex lenslike merna, and amplifiers are included; and a new beam transformation is found. In addition, a novel exponential variable-reflectivity mirror, which displaces a Gaussianbeam without changing its spot size, and a complex prismlike medium are introduced.

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Section: Generalized Beam Matrix For Curved Complex Lens Like Mediamentioning

confidence: 95%

“…Often, the input and output planes are chosen to be in a homogeneous dielectric medium (or free space), and in this case Eq. (24) reduces to…”

Section: Generalized Beam Matrix For Curved Complex Lens Like Mediamentioning

confidence: 99%

Section: Generalized Beam Matrix For Curved Complex Lens Like Mediamentioning

confidence: 99%

“…The Gaussian beam's output parameters of interest may then be obtained from Eqs. (19) and (24). For z-independent ko and k 2x , the GAz) and HAz) integrations in Eq.…”

Section: Generalized Beam Matrix For Curved Complex Lens Like Mediamentioning

confidence: 99%

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Generalized beam matrices: Gaussian beam propagation in misaligned complex optical systems

Tovar

Casperson

1995

J. Opt. Soc. Am. A

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“…Gaussian transmission filters (and Gaussian variable reflectivity mirrors) [22] [153] [155]- [159], exponential transmission filters (and exponential variable reflectivity mirrors) [138], homogeneous amplifiers and absorbers [134], amplifiers (and absorbers) with a linear gain (loss) profile [17] [138], and amplifiers (and absorbers) with a quadratic gain (loss) profile [I] [14] [145] are all complex optical elements. Amplifiers and absorbers may be in the shape of a wedge or lens [138].…”

Section: Laser Beams In Optical Systems Introductionmentioning

confidence: 99%

Beam Modes of Lasers with Misaligned Complex Optical Elements

Tovar¹

2000

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A recurring theme in my research is that mathematical matrix methods may be used in a wide variety of physics and engineering applications. Transfer matrix techniques are conceptually and mathematically simple, and they encourage a systems approach. Once one is familiar with one transfer matrix method, it is straightforward to learn another, even if it is from a completely different branch of science. Thus it is useful to overview these methods, and this has been done here. Of special interest are the applications of these methods to laser optics, and matrix theorems concerning multipass optical systems and periodic optical systems have been generalized here to include, for example, the effect of misalignment on the performance of an optical system. In addition, a transfer matrix technique known as generalized beam method has been derived to treat misalignment effects in complex optical systems. Previous theories used numerical or ad hoc analytical solutions to a complicated diffraction integral. The generalized beam matrix formalism was also extended to higher-order beam modes of lasers and used to study mode discrimination in lasers with misaligned complex optical elements.

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Directivity of radiation leaving a misaligned resonator with a lenslike medium

Bekshaev¹,

Grimblatov²

1983

J Appl Spectrosc

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Beam deflection and isolation in laser amplifiers

Cited by 11 publications

References 4 publications

Generalized beam matrices: Gaussian beam propagation in misaligned complex optical systems

Generalized beam matrices: Gaussian beam propagation in misaligned complex optical systems

Beam Modes of Lasers with Misaligned Complex Optical Elements

Directivity of radiation leaving a misaligned resonator with a lenslike medium

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