Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Two-photon cross-section calculations for krypton in the 190–220 nm range

Abstract

This paper presents multi-path, two-photon excitation cross-section calculations for krypton, using first-order perturbation theory. For evaluation of the two-photon-transition matrix element, this paper formulates the two-photon cross-section calculation as a matrix mechanics problem. From a finite basis of states, consisting of $4\!p$, $5s$, $6s$, $7s$, $5\!p$, $6\!p$, $4d$, $5d$, and $6d$ orbitals, electric dipole matrix elements are constructed, and a Green’s function is expressed as a truncated, spectral expansion of solutions, satisfying the Schrödinger equation. Electric dipole matrix elements are evaluated via tabulated oscillator strengths, and where those are unavailable, quantum-defect theory is used. The relative magnitudes of two-photon cross-sections for eight krypton lines in the 190–220 nm range are compared to experimental excitation spectra with good agreement. This work provides fundamental physical understanding of the Kr atom, which adds to experimental observations of relative fluorescence intensity. This is valuable when comparing excitation schemes in different environments for krypton fluorescence experiments. We conclude that two-photon excitation at 212.556 nm is optimal for single-laser, krypton tagging velocimetry or krypton planar laser-induced fluorescence.

© 2020 Optical Society of America

Full Article  |  PDF Article
More Like This
Comparison of femtosecond and nanosecond two-photon-absorption laser-induced fluorescence of krypton

Stephen W. Grib, Paul S. Hsu, Hans U. Stauffer, Campbell D. Carter, and Sukesh Roy
Appl. Opt. 58(27) 7621-7627 (2019)

High-repetition-rate krypton tagging velocimetry in Mach-6 hypersonic flows

Naibo Jiang, Stephen W. Grib, Paul S. Hsu, Matthew Borg, S. Alexander Schumaker, and Sukesh Roy
Appl. Opt. 61(9) 2192-2197 (2022)

100 kHz krypton-based flow tagging velocimetry in a high-speed flow

Stephen W. Grib, Naibo Jiang, Paul S. Hsu, Hans U. Stauffer, Josef J. Felver, Sukesh Roy, and S. Alexander Schumaker
Appl. Opt. 60(6) 1615-1622 (2021)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (9)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (42)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved