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The intergalactic magnetic field (IGMF) in cosmic voids can be indirectlyprobed through its effect on electromagnetic cascades initiated by a source ofTeV gamma rays, such as blazars, a subclass of active galactic nuclei. Blazarsthat are sufficiently luminous at TeV energies, "extreme TeV blazars", canproduce detectable levels of secondary radiation from inverse Comptonscattering of the electrons in the cascade, provided that the IGMF is not toolarge. We reveiw recent work in the literature which utilizes this idea toderive constraints on the IGMF for three TeV-detected blazars-1ES 0229+200, 1ES1218+304, and RGB J0710+591, and we also investigate four other hard-spectrumTeV blazars in the same framework. Through a recently developed detailed 3Dparticle tracking Monte Carlo simulation code, incorporating all major effectsof QED and cosmological expansion, we research effects of major uncertaintiessuch as the spectral properties of the source, uncertainty in the intensity ofthe UV - far IR extragalactic background light (EBL), under-sampled Very HighEnergy (VHE; energy > 100 GeV) coverage, past history of gamma-ray emission,source vs. observer geometry, and jet AGN Doppler factor. The implications ofthese effects on the recently reported lower limits of the IGMF are thoroughlyexamined to conclude that presently available data are compatible with a zeroIGMF hypothesis.

Extreme TeV Blazars and Lower Limits on Intergalactic Magnetic Fields