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CritPt / Challenge_4_main / High-harmonic generation (HHG) is a nonlinear optical process in which intense…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
code template
Code
def answer():
r"""
Return the OAM and helicity of the 23rd harmonic order.
Inputs
----------
None
Outputs
----------
harmonic_23 : set[tuples[int, int]]
A set of allowed combinations of OAM and helicity for the 23rd harmonic order, ($\ell$, $\sigma$).
"""
# ------------------ FILL IN YOUR RESULTS BELOW ------------------
harmonic_23 = ...
# ---------------------------------------------------------------
return harmonic_23problem description
# Problem setup:
High-harmonic generation (HHG) is a nonlinear optical process in which intense laser fields interact with gas-phase atoms or molecules to produce coherent extreme ultraviolet (EUV) radiation. In this setup, a sequence of time-delayed laser pulses are focused into a gas jet to investigate the role of structured light in controlling the HHG process.
# Main problem:
I create a driving field composed of three temporally identical laser pulses of 800 nm center wavelength, 50 fs FWHM pulse duration, with the peaks of the pulses at t = 0 fs, t = 30 fs, and t = 60 fs, respectively. The first pulse is left circularly polarized and carries an orbital angular momentum (OAM) of , the second pulse is right circularly polarized and has OAM , and the third pulse is left circularly polarized and has OAM . The pulses are focused, overlapped in space, into a gas jet, and used to drive high-harmonic generation to produce EUV light. Calculate the OAM of the 23rd harmonic order and give the associated helicity ().
Plain-text mathematical notation (without MathML)
# Problem setup: High-harmonic generation (HHG) is a nonlinear optical process in which intense laser fields interact with gas-phase atoms or molecules to produce coherent extreme ultraviolet (EUV) radiation. In this setup, a sequence of time-delayed laser pulses are focused into a gas jet to investigate the role of structured light in controlling the HHG process. # Main problem: I create a driving field composed of three temporally identical laser pulses of 800 nm center wavelength, 50 fs FWHM pulse duration, with the peaks of the pulses at t = 0 fs, t = 30 fs, and t = 60 fs, respectively. The first pulse is left circularly polarized and carries an orbital angular momentum (OAM) of ℓ=−1, the second pulse is right circularly polarized and has OAM ℓ=2, and the third pulse is left circularly polarized and has OAM ℓ=1. The pulses are focused, overlapped in space, into a gas jet, and used to drive high-harmonic generation to produce EUV light. Calculate the OAM of the 23rd harmonic order and give the associated helicity σ (±1).
Original LaTeX notation
# Problem setup: High-harmonic generation (HHG) is a nonlinear optical process in which intense laser fields interact with gas-phase atoms or molecules to produce coherent extreme ultraviolet (EUV) radiation. In this setup, a sequence of time-delayed laser pulses are focused into a gas jet to investigate the role of structured light in controlling the HHG process. # Main problem: I create a driving field composed of three temporally identical laser pulses of 800 nm center wavelength, 50 fs FWHM pulse duration, with the peaks of the pulses at t = 0 fs, t = 30 fs, and t = 60 fs, respectively. The first pulse is left circularly polarized and carries an orbital angular momentum (OAM) of $\ell = -1$, the second pulse is right circularly polarized and has OAM $\ell = 2$, and the third pulse is left circularly polarized and has OAM $\ell = 1$. The pulses are focused, overlapped in space, into a gas jet, and used to drive high-harmonic generation to produce EUV light. Calculate the OAM of the 23rd harmonic order and give the associated helicity $\sigma$ ($\pm 1$).
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