# Spectral selectivity in capillary dye lasers

## TL;DR

This paper investigates the spectral behavior of a multimode capillary dye laser, revealing that a Vernier resonant mechanism involving multiple modes, rather than a simple Fabry-Perot effect, dominates its broad spectral range.

## Contribution

It demonstrates that the spectral properties are governed by a Vernier effect with multiple modes, supported by experimental data and finite element method calculations.

## Key findings

- Vernier resonant mechanism explains spectral behavior
- Broad spectral range due to mode interactions
- Finite element calculations match experimental spectra

## Abstract

We explore the spectral properties of a capillary dye laser in the highly multimode regime. Our experiments indicate that the spectral behavior of the laser does not conform with a simple Fabry-Perot analysis; rather, it is strongly dictated by a Vernier resonant mechanism involving multiple modes, which propagate with different group velocities. The laser operates over a very broad spectral range and the Vernier effect gives rise to a free spectral range which is orders of magnitude larger than that expected from a simple Fabry-Perot mechanism. The presented theoretical calculations confirm the experimental results. Propagating modes of the capillary fiber are calculated using the finite element method (FEM) and it is shown that the optical pathlengths resulting from simultaneous beatings of these modes are in close agreement with the optical pathlengths directly extracted from the Fourier Transform of the experimentally measured laser emission spectra.