Solar diffraction of LIGO-band gravitational waves

We show that chirping gravitational waves in the LIGO frequency band $f=1 - 5000$ Hz can be gravitationally diffracted by Sun, due to coincidence of its Fresnel length $r_F \propto \sqrt{1\, {\rm AU}/f}$ and solar radius $r_\odot$. This diffraction is detectable through frequency-dependent amplification wave, albeit with low event rates. also advocate allows probing inner profile evolution frequencies. Along course, we develop diffractive lensing terms simple convergence shear a lens emphasize relevance high-frequency regimes including merger ringdown phases for detection. work not only presents an interesting opportunity ongoing future LIGO-band missions but develops long-wavelength universe. A similar phenomenon help discover non-relativistic wave dark matter, as studied sequel.