Power coupling losses for misaligned and mode-mismatched higher-order Hermite-Gauss modes. (arXiv:2104.01934v1 [astro-ph.IM])
<a href="http://arxiv.org/find/astro-ph/1/au:+Tao_L/0/1/0/all/0/1">Liu Tao</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Kelley_Derzon_J/0/1/0/all/0/1">Jessica Kelley-Derzon</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Green_A/0/1/0/all/0/1">Anna C. Green</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Fulda_P/0/1/0/all/0/1">Paul Fulda</a>
This paper analytically and numerically investigates misalignment and
mode-mismatch induced power coupling coefficients and losses as a function of
Hermite Gauss (HG) mode order. We show that higher-order HG modes are more
susceptible to beam perturbations: the misalignment and mode-mismatch induced
power coupling losses scale linearly and quadratically with respect to the mode
indices respectively. As a result, the mode-mismatch-limited tolerance for
$mathrm{HG}_{3,3}$ mode for example is reduced to a factor of 0.28 compared
against the currently-used fundamental Gaussian laser mode. This is a potential
hurdle for replacing the fundamental mode with higher-order modes in future
gravitational-wave detectors.
This paper analytically and numerically investigates misalignment and
mode-mismatch induced power coupling coefficients and losses as a function of
Hermite Gauss (HG) mode order. We show that higher-order HG modes are more
susceptible to beam perturbations: the misalignment and mode-mismatch induced
power coupling losses scale linearly and quadratically with respect to the mode
indices respectively. As a result, the mode-mismatch-limited tolerance for
$mathrm{HG}_{3,3}$ mode for example is reduced to a factor of 0.28 compared
against the currently-used fundamental Gaussian laser mode. This is a potential
hurdle for replacing the fundamental mode with higher-order modes in future
gravitational-wave detectors.
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