Intensity Mapping of Hα, Hβ, [OII], and [OIII] Lines at z < 5

Intensity mapping is becoming a useful tool to study the large-scale structure of the universe through spatial variations in the integrated emission from galaxies and the intergalactic medium. We study intensity mapping of the {{H}}α 6563 \mathringA , [O III] 5007 Å, [O II] 3727 Å, and {{H}}β 4861 \mathringA lines at 0.8≤slant z≤slant 5.2. The mean intensities of these four emission lines are estimated using the observed luminosity functions (LFs), cosmological simulations, and the star formation rate density (SFRD) derived from observations at z≲ 5. We calculate the intensity power spectra and consider the foreground contamination of other lines at lower redshifts. We use the proposed NASA small explorer SPHEREx (the Spectro-Photometer for the History of the universe, Epoch of Reionization, and Ices Explorer) as a case study for the detectability of the intensity power spectra of the four emission lines. We also investigate the cross-correlation with the 21 cm line probed by the Canadian Hydrogen Intensity Mapping Experiment (CHIME), Tianlai experiment and the Square Kilometer Array (SKA) at 0.8≤slant z≤slant 2.4. We find both the auto and cross power spectra can be well measured for the Hα, [O III] and [O II] lines at z≲ 3, while it is more challenging for the Hβ line. Finally, we estimate the constraint on the SFRD from intensity mapping, and find we can reach an accuracy higher than 7% at z≲ 4, which is better than with the usual method of measurements using the LFs of galaxies.