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Dispersion Compensation Prism Pairs for Ultrafast Lasers


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Dispersion Compensation Prism Pairs for Ultrafast Lasers

prism ray diagram
Above: An ultrafast laser dispersing (ULD) prism pair with apex angle α and separation d can be used to spatially disperse different wavelength components and introduce wavelength-dependent phase changes. To learn more, please see the Tutorial tab.

Features

  • Designed Spectral Range: 700 - 900 nm
  • Apex Angle Tolerance: ±15 arcmin
  • Unpolished Sides: Flat and Ground
  • Surface Flatness: λ/4 at 633 nm
  • Use to Compensate for Dispersion
  • Fabricated from CaF2, Fused Silica, SF10, or N-SF14

These Dispersion-Compensating Prism Pairs are designed to compensate for the pulse broadening effects that occur in ultrafast laser systems without introducing significant power losses. Four large-index-of-refraction prism materials are offered to provide various group velocity dispersion (GVD) values, thereby compensating for different pulse dispersion conditions.

Applications
Prism paris such as these have multiple applications. They can be used to create an optical filter; simply insert a knife edge to attenuate the short- or long-wavelength components. If the prism pair is placed inside a laser resonator, they can be used for wavelength tuning. Alternatively, prism pairs can be used for dispersion compensation. Each time light passes through the optical elements within a laser cavity, positive (commonly referred to as normal) dispersion occurs. The prism pair also contributes positive dispersion. However, this positive dispersion is somewhat offset by the extra distance that the longer wavelengths travel through the second prism (refer to the figure below). With a careful choice of prism pair geometery it is possible to create negative (commonly referred to as anomalous) dispersion that compensates for all the other elements within the cavity.

Specifications (Example Calculations)

Item #MaterialGVDa
(at 800 nm)
TODb
(at 800 nm)
αc
(Apex Angle)
H
(mm)
B
(mm)
ΘBdRefractive Index
(at 800 nm)
Scratch-
Dig
AFS-CAFCaF2-5 fs2/cm-12 fs3/cm69.9°12.317.2~55.0°1.43040-20
AFS-FSFused Silica-16.5 fs2/cm-20 fs3/cm69.1°12.417.0~55.6°1.45320-10
AFS-SF10SF10-97.5 fs2/cm-388 fs3/cm60.6°13.015.1~59.7°1.71120-10
AFS-SF14N-SF14-113.5 fs2/cm-473 fs3/cm59.6°13.014.9~60.2°1.74320-10

a Group Velocity Dispersion (see the Graphs tab for additional information)
b Third-Order Dispersion for Prism Pairs
c Apex Angle Tolerance: ±15 arcmin
d Brewster's Angle

prism dimensions

Group Velocity Dispersion Graph

Third Order Dispersion Curves

The broadband frequency spectrum of ultrashort laser pulses brings rise to the necessity for dispersion compensation. Whenever an ultrashort pulse passes through a positive dispersive material, the pulse becomes “stretched” due to the frequency dependency of the refractive index of a material. In order to maintain pulse shape and duration, a negative dispersive system is required. While there are various methods for producing dispersion control, such as grating pairs or chirped mirrors; prism pairs offer a simple, tunable, and low loss solution for dispersion compensation. Through adjusting the relative geometry of the prism pair, the dispersion can be adjusted from positive through negative values.

prism diagram

The apex angle in the ULD prism pairs is chosen such that the input and output angles are both near Brewster's Angle (ΘB) in order to minimize the reflection of P-polarized light. The accumulated phase φ(ω) in a prism pair is equal to

uld eq1

The variables ω, d, Θf, and Θfshort correspond to frequency, prism separation, exit angle (frequency dependent), and exit angle of the shortest transmitted wavelength, respectively.

uld eq2

The variables n, ΘB, and α correspond to the frequency dependent refractive index of the prism material, angle of incidence with the surface of the first prism, and apex angle of the prism, respectively. The second and third derivatives of the accumulated phase with respect to frequency are defined to be the Group Velocity Dispersion (GVD) and the Third-Order Dispersion (TOD), respectively.

As can be demonstrated through Fourier analysis, ultrashort pulses (small Δt) innately possess a broadband frequency spectrum (large Δf). However, due to the wavelength-dependent nature of the index of refraction, longer wavelengths travel faster through an optical material than short wavelengths. Consequently, femtosecond pulses are subject to pulse broadening as a result of group velocity dispersion (GVD). These effects can be reversed by using a prism pair such as those offered here to provide a negative dispersive system in order to shorten the duration of an ultrashort laser pulse.

To achieve the specified GVD values while also maximizing transmission, light should be incident on the first prism at Brewster's Angle (ΘB). As shown in the schematic above, the first prism is used to separate the various wavelength components. Then, a second prism is positioned such that the various wavelengths of refracted light rays will propagate parallel to each other upon exiting. Furthermore, by including another pair of prisms (4 prisms total), the final rays can be made to propagate collinearly with each other as well as with the path of the incident rays [1]. This feature can be particularly useful when installing a dispersion compensator into an existing optical system.

[1] R. L. Fork, O. E. Martinez, and J. P. Gordon, "Negative dispersion using pairs of prisms," Opt. Lett. 9, 150-152 (1984).

Selection Guide for Prisms

Thorlabs offers a wide variety of prisms, which can be used to reflect, invert, rotate, disperse, steer, and collimate light. Prisms are available in N-BK7, UV Fused Silica, F2, N-SF11, α-BBO, N-KZFS8, Ge, and CaF2. For prisms and substrates not listed below, please contact tech support.

Beam Steering Prisms

PrismMaterialDeviationInvertReverse or RotateIllustrationApplications
Right Angle PrismsN-BK7, UV Fused Silica, Germanium, or Calcium Fluoride90°90°No1

90° reflector, independent of entrance beam angle.

Used in optical systems such as telescopes and periscopes.

180°180°No1

180° reflector, independent of entrance beam angle.

Acts as a non-reversing mirror and can be used in binocular configurations.

Retroreflectors
and
Mounted Retroreflectors
N-BK7180°180°NoRetroreflector

180° reflector, independent of entrance beam angle.

Beam alignment and beam delivery. Substitute for mirror in applications where orientation is difficult to control.

Penta Prisms
and
Mounted Penta Prisms
N-BK790°NoNo1

90° reflector, without inversion or reversal of the beam profile.

Can be used for alignment and optical tooling.

Roof PrismsN-BK790°90°180o Rotation1

90° reflector, inverted and rotated (deflected left to right and top to bottom).

Can be used for alignment and optical tooling.

Dove Prisms
and
Mounted Dove Prisms
N-BK7No180°2x Prism Rotation1

Dove prisms may invert, reverse, or rotate an image based on which face the light is incident on.

Prism in a beam rotator orientation.

180°180°No1

Prism acts as a non-reversing mirror.

Same properties as a retro-reflector or right angle (180° orientation) prism in an optical setup.

Wedge PrismsN-BK7Models Available from 2° to 10°NoNo1

Beam steering applications.

By rotating one wedged prism, light can be steered to trace the circle defined by 2 times the specified deviation angle.

NoNoWedge Prism Pair

Variable beam steering applications.

When both wedges are rotated, the beam can be moved anywhere within the circle defined by 4 times the specified deviation angle.

Coupling PrismsRutile (TiO2) or GGGVariable*NoNoCoupling Prism

High index of refraction substrate used to couple light into films.

Rutile used for nfilm > 1.8

GGG used for nfilm < 1.8

* Depends on angle of incidence and index of refraction


Dispersive Prisms

PrismMaterialDeviationInvertReverse or RotateIllustrationApplications
Equilateral PrismsF2, N-SF11, Germanium, or Calcium FlourideVariable*NoNo1

Dispersion prisms are a substitute for diffraction gratings.

Use to separate white light into visible spectrum.

Pellin Broca PrismsN-BK7, UV Fused Silica, or CaF290°90°No1

Ideal for wavelength separation of a beam of light, output at 90°.

Used to separate harmonics of a laser or compensate for group velocity dispersion.

Dispersion Compensating Prism PairsFused Silica, CaF2, SF10, or N-SF14Variable Vertical OffsetNoNoDispersion-Compensating Prism Pair

Compensate for pulse broadening effects in ultrafast laser systems.

Can be used as an optical filter, for wavelength tuning, or dispersion compensation.

 

* Depends on angle of incidence and index of refraction

Beam Manipulating Prisms

PrismMaterialDeviationInvertReverse or RotateIllustrationApplications
Anamorphic Prism PairsN-KZFS8 or N-SF11Variable Vertical OffsetNoNo1

Variable magnification along one axis.

Collimating elliptical beams (e.g., laser diodes)

Converts an elliptical beam into a circular beam by magnifying or contracting the input beam in one axis.

Polarization Altering Prisms

PrismMaterialDeviationInvertReverse or RotateIllustrationApplications
Glan-Taylor, Glan-Laser, and α-BBO Glan-Laser Polarizers

Glan-Taylor:
Calcite

Glan-Laser:
α-BBO or Calcite

p-pol. - 0°

s-pol. - 112°*

NoNoGlan-Taylor Polarizer

Double prism configuration and birefringent calcite produce extremely pure linearly polarized light.

Total Internal Reflection of s-pol. at the gap between the prism while p-pol. is transmitted.

Rutile PolarizersRutile (TiO2)

s-pol. - 0°

p-pol. absorbed by housing

NoNoRutile Polarizer Diagram

Double prism configuration and birefringent rutile (TiO2) produce extremely pure linearly polarized light.

Total Internal Reflection of p-pol. at the gap between the prisms while s-pol. is transmitted.

 

Double Glan-Taylor PolarizersCalcite

p-pol. - 0°

s-pol. absorbed by housing

NoNoGlan-Taylor Polarizer

Triple prism configuration and birefringent calcite produce maximum polarized field over a large half angle.

Total Internal Reflection of s-pol. at the gap between the prism while p-pol. is transmitted.

Glan Thompson PolarizersCalcite

p-pol. - 0°

s-pol. absorbed by housing

NoNoGlan-Thompson Polarizer

Double prism configuration and birefringent calcite produce a polarizer with the widest field of view while maintaining a high extinction ratio.

Total Internal Reflection of s-pol. at the gap between the prism while p-pol. is transmitted.

Wollaston Prisms
Wollaston Polarizers
CalciteSymmetric
p-pol. and
s-pol. deviation angle
NoNoWollaston Prism

Double prism configuration and birefringent calcite produce the widest deviation angle of beam displacing polarizers.

s-pol. and p-pol. deviate symmetrically from the prism. Wollaston prisms are used in spectrometers and polarization analyzers.

Beam Displacing PrismsCalcite2.7 or 4.0 mm Beam DisplacementNoNoBeam Displacing Prism

Single prism configuration and birefringent calcite separate an input beam into two orthogonally polarized output beams.

s-pol. and p-pol. are displaced by 2.7 or 4.0 mm. Beam displacing prisms can be used as polarizing beamsplitters where 90o separation is not possible.

Fresnel Rhomb RetardersN-BK7

Linear to circularly polarization

Vertical Offset

NoNoFresnel Rhomb Quarter Wave

λ/4 Fresnel Rhomb Retarder turns a linear input into circularly polarized output.

Uniform λ/4 retardance over a wider wavelength range compared to birefringent wave plates.

Rotates linearly polarized light 90°NoNoFresnel Rhomb Half Wave

λ/2 Fresnel Rhomb Retarder rotates linearly polarized light 90°.

Uniform λ/2 retardance over a wider wavelength range compared to birefringent wave plates.

* s-polarized light is not pure and contains some p-polarized reflections.

Beamsplitter Prisms

PrismMaterialDeviationInvertReverse or RotateIllustrationApplications
Beamsplitter Cube
and
Mounted Beamsplitter Cube
N-BK7 - Grade A
400-700 nm
700-1100 nm
1100-1600 nm

50:50 splitting ratio, 0° and 90°

s- and p- pol. within 10% of each other

NoNoNon-polarizing Beamsplitter

Double prism configuration and dielectric coating provide 50:50 beamsplitting nearly independent of polarization.

Non-polarizing beamsplitter over the specified wavelength range.

Polarizing Beamsplitter Cube
and
Mounted Polarizing Beamsplitter Cube
SF2
420-680 nm
620-1000 nm
900-1300 nm
1200-1600 nm

p-pol. - 0°

s-pol. - 90°

NoNoPolarizing Beamsplitter Cube

Double prism configuration and dielectric coating transmit p-pol. light and reflect s-pol. light.

For highest polarization use the transmitted beam.

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Posted Comments:
Poster: 357510589
Posted Date: 2012-10-16 09:50:54.14
您好,刚看了贵公司的色散补偿棱镜,在这里有两张图,分别为二阶、三阶色散因子图,请问这个图是指单纯的材料色散吗?(即仅与材料组成有关,与棱镜外形及空间位置无关),另外,在使用此棱镜对,进行色散补偿时,根据你们的教程,没看太明白,能否提供更详细的教程不?期待着您好回复,谢谢!
Poster: bdada
Posted Date: 2011-10-07 18:19:00.0
Response from Buki at Thorlabs: Thank you for your feedback. We will be happy to provide you with this data or the appropriate method to calculate it. We need the part number of the prism pair you are using and the configuration of the prisms. We also have MathCad files for some of our dispersion prisms that we have emailed to you. Please contact TechSupport@thorlabs.com if you have further questions.
Poster: avle
Posted Date: 2011-09-26 23:55:36.0
Hi there, I was wondering how we would calculate the negative dispersion parameter for a given prism set, with known optical properties and geometric configuration of the prism pair? The dispersion parameter in units of ps/nm Thanks!
Poster: jjurado
Posted Date: 2011-06-24 18:27:00.0
Response from Javier at Thorlabs to lionel.tombez: Thank you very much for contacting us. The AFS-SF10 dispersion compensation prism pairs will certainly transmit well at 1.1um. The prisms are cut at the same angle as Newport's prisms, so the performance will be identical.
Poster: lionel.tombez
Posted Date: 2011-06-23 09:08:08.0
Can one use these prisms (SF10) to compress 1.1 um pulses ? I dont get the difference with Newport prism compressor product, which is of the same material (SF10) but specified up to 2.3um. Thanks Customer Email: lionel.tombez@unine.ch This customer would like to be contacted.
Poster: Greg
Posted Date: 2011-01-11 10:23:19.0
A response from Greg at Thorlabs to william.t.lotshaw: Thank you for pointing out this error. The graphs were incorrect and have been fixed.
Poster: william.t.lotshaw
Posted Date: 2011-01-10 11:22:58.0
The GVD and TOD curves for fused silica and CaF2 appear to be reversed in the graphs tab if the values you list in the overview for the Brewster dispersion compensation prisms is correct
Poster: Javier
Posted Date: 2010-06-17 10:39:21.0
Response from Javier at Thorlabs to jessew: our specifications list the total TOD for the prism compressor. We derived the GVD and TOD values based on accumulated phase of the prism compressor. I can send you a document which outlines the derivation for these values.
Poster: jessew
Posted Date: 2010-06-16 23:08:50.0
Im unclear on how the numbers for TOD were derived for the prism pairs. Is the material TOD listed, or total TOD for a compressor constructed out of the prism pair? For example, using the standard definition of material TOD as the third derivative of wave number k with respect to angular frequency omega, TOD for SF10 should be 0.10 fs^3/rad per micrometer of material propagation. Thanks, -Jesse Wilson
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