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HHG upper-bound cut-off energy

Calculate the single-atom upper-bound cutoff EUV photon energy one can expect to generate with the classical model by calculating the Ponderomotive energy and using the gas-specific ionization energy.

However knowing the single atom cut-off energy is insufficient, phase matching is also a critical criteria that needs fulfilled in HHG operation and KMLabs has decades of expertise in this area.

3.17Up + Ip = 3.17 x 9.337381.2 x π ωo2 Eτ λ2 + Ip = [Cutoff Photon Energy] = eV
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M2, a measure of pump laser beam quality, usually in the range of 1-2, is assumed to be 1.2 here, which is typical. Up is called Ponderomotive potential.
0.1
5.0
Pulse energy E (mJ)
mJ
5
500
Beam waist ωo (μm) in radius
μm
10
400
Pulse duration τ (fs)
fs
200
2000
Center wavelength λ (nm)
nm
Ionization potential based on gas type
Cutoff Photon Energy eV
HHG phase matching and cutoffs_3

Typical range of EUV photon energy
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Output EUV photon energy range in practice may differ depending on final setup from the given general reference info below.

Common pump laser center wavelength
Common gas type
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Krypton/Xenon usually can reach lowest attainable harmonic order with a given pump laser with lower minimum requirements on pump pulse energy. Neon is good for intermediate photon energy ranges with narrow harmonic linewidths.
HHG photon energy range
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KMLabs has experience generating UV photons in the range of 6-18 eV (68-206 nm) or Soft X-ray photons up to 1,600 eV (0.77 nm). Consult us if your desired photon energy is outside the estimated photon energy.
24 eV 53 nm
~
55 eV 23 nm
50 eV 24 nm
~
75 eV 16 nm
83 eV 15 nm
~
120 eV 10 nm
18 eV 69 nm
~
30 eV 41 nm
32 eV 38 nm
~
62 eV 20 nm
eV nm
~
eV nm

Minimum needed pump pulse energy
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Optimal parameters to be used in practice may differ based on customer specific requirements from the given general reference information here.

HHG wavelength of interest, within 10 - 70 nm
nm
eV
Pulse duration
2 mJ using He Gas
1 mJ using Ne Gas
0.1 mJ using Ar Gas
1 mJ using Ar Gas
2 mJ using Ne Gas
5 mJ using Ne or He Gas

At-source photon flux vs. repetition rate
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The plots are to illustrate a general trend and not exactly to scale.

Typical operation parameters in HHG
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Over-driven scenarios see an increased flux while other beam quality metrics worsen, e.g. bandwidth, pointing stability, etc.

Under driven

Optimally driven

Over driven

Ar_30nm_200uJ
He_13nm_1mJ_3
Ar_30nm_500uJ
He_13nm_2mJ_2
Xe_60nm_1mJ_2
Ar_30nm_1mJ
He_13nm_4mJ_2
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HHG beam spot size

Acceptable pump beam input spot size :
4 - 13mm in diameter
Nominal spot size at HHG source output :
50 𝛍m in diameter
Nominal spot size at sample
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KMLabs has achieved customized spot sizes from ~5-10𝛍m to ~1mm or more at sample. Consult us for more information.
( 1:1 or assuming typical demag ratio range , ~6 ft beamline from source ) :
30 - 200 𝛍m in diameter

HHG harmonic bandwidth

Normal bandwidth of a single harmonic :
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Different requirements on the bandwidth or bandwidth related parameters may be achieved via customization, consult us for more information.
Measured at 1.0 - 1.4eV max. ( He , 13nm , 2mJ),
Measured at 0.3 -0.7eV max. ( Ar , 30nm , 0.5mJ ),
Measured at 0.05 - 0.2eV max. ( Ne , 60nm , Yb, 1mJ ),
resolution - limited by KMLabs standard imaging spectrometer configuration.
ExampleSpectra_3-1

HHG 光斑尺寸

可用红外泵浦源光斑大小:
直径须在 4-13 毫米范围内
在高次谐波光源出口的常见光斑大小:
直径约为 50 微米
实验可用的常见光斑大小
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KMLabs 在样品上实现了从~5-10微米 到~1毫米 或更大的定制光斑尺寸。请咨询我们以获取更多信息。
(等比缩小或者常见缩小比例,假设实验样本距离高次谐波光源出口约2米距离):
直径范围 30-200 微米

HHG 谐波带宽

单个谐波的常见线宽:
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可以通过定制來实现对带宽或带宽相关数据的不同要求,更多信息请咨询我们。
测量极大值 1.0 - 1.4 电子伏 (氦, 13纳米, 2微焦),
测量极大值 0.3 - 0.7 电子伏 (氩, 30纳米, 0.5微焦),
测量极大值 0.05 - 0.2 电子伏 (氖, 60纳米, 镱, 1微焦),
分辨率可能受限于KMLabs标准极紫外成像光谱仪的组成.
ExampleSpectra_3-1

范例光谱展示

 

Want to learn more?  Watch a short video clip on HHG intro presented by KMLabs' cofounder, Dr. Margaret Murnane, on 2021 CLEO Plenary speech below.