研究目的
Investigating the determination of the electric field and its Hilbert transform in femtosecond electro-optic sampling.
研究成果
The study demonstrates the measurement of the electric field and its Hilbert transform using femtosecond electro-optic sampling. It identifies the balance between sum- and difference-frequency generation and the delay-independent phase as crucial parameters. The findings enable robust recovery of the carrier-envelope phase of the input waveform and provide insights for future quantum tomography of light at subcycle time scales.
研究不足
The study is limited by the precision of the phase retarders and the balance between sum- and difference-frequency generation processes. Additionally, the spectral filtering of the probe after nonlinear interaction may affect the signal-to-noise ratio.
1:Experimental Design and Method Selection:
The study employs femtosecond electro-optic sampling to measure mid-infrared electric field transients and their Hilbert transforms. The methodology involves analyzing the polarization changes of few-femtosecond probe pulses induced by the dynamical Pockels effect.
2:Sample Selection and Data Sources:
The experiment uses synchronized pump and probe pulse trains generated by a femtosecond Er:fiber laser system. The pump pulses are centered around 193 THz, and the probe pulses around 250 THz.
3:List of Experimental Equipment and Materials:
The setup includes a gallium selenide (GaSe) crystal for mid-infrared radiation generation, gallium antimonide (GaSb) and silicon (Si) wafers for beam combination and filtering, and electro-optic detection crystals (ZnTe, GaSe, AgGaS2).
4:2). Experimental Procedures and Operational Workflow:
4. Experimental Procedures and Operational Workflow: The probe and multiterahertz beams are superimposed and focused into an electro-optic detection crystal. The induced polarization changes are analyzed using a balanced detection scheme with quarter- or half-wave plates and a Wollaston prism.
5:Data Analysis Methods:
The differential photocurrent is recorded using a radio-frequency lock-in amplifier, and the data are analyzed to determine the electric field and its Hilbert transform.
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gallium selenide crystal
GaSe
Generation of mid-infrared radiation via intrapulse difference-frequency generation.
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gallium antimonide wafer
GaSb
Absorbs the remaining near-infrared radiation.
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silicon wafer
Si
Superimposes probe and multiterahertz beams.
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electro-optic detection crystal
ZnTe, GaSe, AgGaS2
Couples the mid-infrared electric field to the polarization state of the probe photons via the Pockels effect.
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off-axis parabolic mirror
OAP
Focuses pulse trains to a paraxial spot radius of 3.6 μm into an electro-optic detection crystal.
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achromatic lens
AL
Recollimates the probe beam.
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quarter-wave plate
QWP
Introduces ellipticity to measure changes in polarization ellipticity.
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half-wave plate
HWP
Rotates the plane of linear polarization to measure polarization rotation.
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Wollaston prism
WP
Separates the two linear polarization components along ez and es.
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balanced photodiodes
Measures the differential photocurrent.
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radio-frequency lock-in amplifier
Enables shot-noise limited recording of the differential photocurrent.
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