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We present a new two-component dust geometry model, the \textit{ChocolateChip Cookie} model, where the clumpy nebular regions are embedded in a diffusestellar/ISM disk, like chocolate chips in a cookie. By approximating thebinomial distribution of the clumpy nebular regions with a continuous Gaussiandistribution and omitting the dust scattering effect, our model solves the dustattenuation process for both the emission lines and stellar continua viaanalytical approaches. Our Chocolate Chip Cookie model successfully fits theinclination dependence of both the effective dust reddening of the stellarcomponents derived from stellar population synthesis and that of the emissionlines characterized by the Balmer decrement for a large sample of Milky-Waylike disk galaxies selected from the main galaxy sample of the Sloan DigitalSky Survey (SDSS). Our model shows that the clumpy nebular disk is about 0.55times thinner and 1.6 times larger than the stellar disk for MW-like galaxies,whereas each clumpy region has a typical optical depth $\tau_{\rm{cl,V}} \sim0.5$ in $V$ band. After considering the aperture effect, our model predictionon the inclination dependence of dust attenuation is also consistent withobservations. Not only that, in our model, the dust attenuation curve of thestellar population naturally depends on inclination and its median case isconsistent with the classical Calzetti law. Since the modelling constraints arefrom the optical wavelengths, our model is unaffected by the optically thickdust component, which however could bias the model's prediction of the infraredemissions.

The Chocolate Chip Cookie Model: Dust Geometry of Milky-Way like Disk Galaxies