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The photoacoustic (PA) effect consisting of the generation of an acousticsignal based on the absorption of light has already demonstrated its potentialfor various spectroscopic applications for both gaseous and solid samples. Thesignal produced during photoacoustic spectroscopy (PAS) measurement is,however, usually weak and needs to be amplified. This is achieved by using aphotoacoustic cell resonator where acoustic resonances are utilized tosignificantly boost the signal. Therefore, a PA resonator has a significantrole in PAS measurement set-ups. When designing or optimizing a new PAresonator, numerical methods are generally used to simulate the photoacousticsignal generation. In this paper, the amplitude mode expansion (AME) method ispresented as a quick and accurate simulation tool. The method is used tosimulate the photoacoustic signal in a multi-scale T-cell resonator over a widefrequency range. The AME method is based on eigenmode expansion andintroduction of losses by quality factors. The AME simulation results arecompared and analyzed against the results from the viscothermal method.Reasonably good agreement is obtained between the two methods. However, smallfrequency shifts in the resonances of the AME method are noted. The shifts areattributed to the location of the dominant mode within the T-cell. Theviscothermal method is considered the most accurate method for simulating thephotoacoustic signal in small resonators. However, it is computationally verydemanding. The AME method provides a much faster simulation alternative. Thisis particularly useful in the design and optimization of photoacousticresonators where numerical methods are preferred over experimental measurementsdue to their speed and low cost.

Photoacoustics Modelling using Amplitude Mode Expansion Method in a Multiscale T-cell Resonator