Thick Disks around White Dwarfs viewed 'Edge-off': Effects on Transit Properties and Infrared Excess

Abstract: A significant fraction of white dwarfs (WDs) host dust/debris disks formed from the tidal disruption of asteroids and planetsimals. Several studies indicate that the disks can attain significant vertical heights through collisional cascade. In this work I model the effects of geometrically thick disks on two primary observables: photometric transits by the disk when viewed at high inclinations and infrared dust emission. Specifically, I consider disks with a Gaussian vertical profile with scale heights comparable to or larger than the WD radius. I primarily focus on inclinations $\gtrsim$$87$ degrees ('edge-off'), which can produce significant transits with moderate disk thickness. Both the transit depth and color become strong functions of inclination, and I explore their dependence on the disk parameters. I show that such a setup can produce the recently discovered reddening in the transit of WD J1013$-$0427. Moving to infrared emission, I show that the contribution from the heated inner rim can be substantial even at high inclinations. It can potentially explain the infrared excess observed in two transiting debris systems, WD 1145$+$017 and WD 1232$+$563, consistently with the transits. The other two important radiation components are the optically thin dust emission from the disk's outer layers and the optically thick emission from the backwarmed disk interior. Extending my analysis to G29-38 shows that the former can adequately produce the silicate emission feature. The inner dense layers, on the other hand, allows the disk to contain a large dust mass. Overall, I show that thick disk effects can be significant and should be taken into account. I motivate detailed studies to quantify the effects accurately.