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We present time- and angle-resolved photoemission spectroscopy measurementson the charge density wave system CeTe$_{3}$. Optical excitation transientlypopulates the unoccupied band structure and reveals a gap size of 2$\Delta$ =0.59 eV. The occupied Te-5p band dispersion is coherently modified by threemodes at $\Omega_{1}$ = 2.2 THz, $\Omega_{2}$ = 2.7 THz and $\Omega_{3}$ = 3THz. All three modes lead to small rigid energy shifts whereas $\Delta$ is onlyaffected by $\Omega_{1}$ and $\Omega_{2}$. Their spatial polarization isanalyzed by fits of a transient model dispersion and DFT frozen phononcalculations. We conclude that the modes $\Omega_{1}$ and $\Omega_{2}$ resultfrom in-plane ionic lattice motions, which modulate the charge order, and that$\Omega_{3}$ originates from a generic out-of-plane $A_{1g}$ phonon. We therebydemonstrate how the rich information from trARPES allows identification ofcollective modes and their spatial polarization, which explains themode-dependent coupling to charge order.

Classification of Collective Modes in a Charge Density Wave by Momentum-Dependent Modulation of the Electronic Band Structure