Abstract
The joint density of states of Bi$_2$Sr$_2$CaCu$_2$O$_8+\delta$
is calculated by evaluating the autocorrelation of the single particle
spectral function A(k⃗,ω) measured from angle resolved photoemission
spectroscopy (ARPES). These results are compared with Fourier transformed
(FT) conductance modulations measured by scanning tunneling microscopy
(STM). Good agreement between the two experimental probes is found
for two different doping values examined. In addition, by comparing
the FT-STM results to the autocorrelated ARPES spectra with different
photon polarization, new insight on the form of the STM matrix elements
is obtained. This shines new light on unsolved mysteries in the tunneling
data.
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