New approach to resonators with one-dimensional dispersion

Anokhov, S. P.

doi:10.1070/qe1994v024n05abeh000103

Cited by 4 publications

(5 citation statements)

References 7 publications

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“…In the considered case of free propagation in the uniform space between planes Q 0 and Q, equation (19), in view of (11), possess the form…”

Section: Wigner Function Transformation Shift Of the Beam Centroid In...mentioning

confidence: 99%

“…In all simulations, the collimated beam with λ = 633 nm and b = 3 μm was supposed (in this case, the small parameter ε = 0.03, and the paraxial approximation is valid; in contrast to the tight-focusing conditions [35,50], such beams can be obtained, e.g., from the initial laser beam with the radius ∼ 1 mm after focusing by the lens with focal distance ∼ 3 cm). The oblique-section inclination (see figure 1 and relation (11)) is chosen such that tanθ = 6. The left column of figure 4 presents the usual transverse-section distributions, the right column demonstrates the oblique-section distributions projected onto the transverse plane (viewed against the axis z, see figure 1 and section 3.2).…”

Section: Oblique-section Centroid Shift Of a Symmetric Gaussian Beam ...mentioning

confidence: 99%

“…The oblique sections of paraxial beams frequently occur in systems containing elements with angular dispersion [8,9], e.g., diffraction gratings [10][11][12][13][14], as well as in the technique of dispersion optical resonators of tunable lasers [10][11][12]. In the past decades, the special attention to oblique sections was stimulated by the search of efficient tools for detection and characterization of the internal energy flows (EFs) [13][14][15] in light fields.…”

Section: Introductionmentioning

confidence: 99%

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Geometric spin Hall effect and polarization-dependent transformations in the oblique section of a paraxial light beam

Bekshaev

Ternovsky

2023

Phys. Scr.

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The spatial structure of light beams is usually considered in the transverse cross sections but supplementary analysis of the field pattern across an oblique plane may disclose additional details of the internal beam structure and energy flow distributions. Their manifestations are known as “geometric spin Hall effect of light” (gSHEL). We analyze the “practical” gSHEL scheme in which the light energy distribution is registered by a detector whose input plane is inclined with respect to the propagation axis. Based on the vector beam model and using the formalism of optical Wigner matrices, we find that the oblique-plane energy distribution differs from that observed in the transverse cross section. This difference is associated with the azimuthal energy circulation and the orbital angular momentum (AM) of the beam; it can be expressed as the lateral shift of the mean-weighted beam position (beam centroid). The similar effect can be observed in elliptically polarized beams without orbital AM: there, the oblique-section projection reveals a specific asymmetry induced by the spin AM in the longitudinal field components of such beams. The polarization-induced oblique-section beam shift is rather weak in paraxial approximation but can be observable if the light-detecting procedure is selectively sensitive to the longitudinal optical-field component.

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“…In the considered case of free propagation in the uniform space between planes Q 0 and Q, equation (19), in view of (11), possess the form…”

Section: Wigner Function Transformation Shift Of the Beam Centroid In...mentioning

confidence: 99%

Section: Oblique-section Centroid Shift Of a Symmetric Gaussian Beam ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Geometric spin Hall effect and polarization-dependent transformations in the oblique section of a paraxial light beam

Bekshaev

Ternovsky

2023

Phys. Scr.

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“…1) the refined transformation law (2) becomes simpler I [a (2 211 u2(x,y)=t i+--tan8 ---+x------+----jV u1(x,y). (4) It is remarkable that even when all beam trajectory lies in a single plane, the transformation law (2) -(4) has essentially 3-dimensional nature: the beam distortions in xz -plane depend upon its behavior in orthogonal yz -plane. The transformation formulas possess several interesting properties;6'7 for example, it removes ostensible uncertainty of optical length in systems with PDE.7'9 It is possible to write down similar transformation laws for energy characteristics ofthe beam (transverse distributions of Pointing vector, Wigner function'° etc.)…”

Section: Beam Transformation In Plane Dispersive Elementsmentioning

confidence: 99%

<title>Theory of optical resonator with plane-dispersive elements</title>

Anan'ev¹,

Bekshaev²

1998

SPIE Proceedings

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Dispersion optical resonators of tunable lasers often contain one or more plane dispersive elements (PDE), e.g. , refracting boundaries or diffraction gratings. The characteristic feature of such structures is that their optical length varies over resonator cross-section; this causes specific difiuaction distortions of the light beam. But conventional ideas concerning processes in dispersion resonators are based on the analysis of simplified models, where each PDE conditionally is removed or replaced by certain thin optical element, so that particular nature ofPDE is neglected.An attempt of systematic theoretical consideration of optical resonator with PDE is presented. On the base of general formulae for paraxial beam transformation in PDE the integral equation describing wide class of dispersion resonators is derived. It is analyzed and discussed; for some cases there are given approximate analytical and numerical solutions. They demonstrate slight asymmetry in beam profile and in dependence of resonator losses on its misalignment. Besides, it is shown that tuning of the resonator can be changed not only by angular but by certain progressive shifts of resonator elements. These effects can give new possibilities for the control of tunable laser radiation and must be allowed for in precision measurements.

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“…where k = 1,2,3... the number of double passes between mirrors during the wave round path in the cavity, α the angle of wave incidence onto the mirror (the inclination angle of the wave), L e = Σl i /n i the effective length of the cavity, where l i its homogeneous parts with constant value of refraction index n i [6].…”

Section: Waveguide Approach To Description Of An Open Cavitymentioning

confidence: 99%

Simple waveguide model of arbitrary filled plane-plane cavity

Anokhov¹

2000

Semicond. Phys. Quantum Electron. Optoelectron.

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Some waveguide features responsible for angular structure of a plane-plane cavity output emission, which were not discussed before, are considered. A number of common regularities in mode structure of such cavity at the level of their elementary organization is established. Among them are: the angular quantization of initial plane waves spectrum, the real size of diffraction losses, the phenomenon of reorientation of plane waves in waveguide propagation, the role of optical filling of the cavity, etc. The obtained data most essentially supplement the traditional representations of mode properties in the area of the small cavity apertures characterized by the Fresnel number about or less than unity.

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New approach to resonators with one-dimensional dispersion

Cited by 4 publications

References 7 publications

Geometric spin Hall effect and polarization-dependent transformations in the oblique section of a paraxial light beam

Geometric spin Hall effect and polarization-dependent transformations in the oblique section of a paraxial light beam

<title>Theory of optical resonator with plane-dispersive elements</title>

Simple waveguide model of arbitrary filled plane-plane cavity

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