Power coupling losses for misaligned and mode-mismatched higher-order Hermite-Gauss modes. (arXiv:2104.01934v3 [astro-ph.IM] UPDATED)
<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 when, for example, coupling into optical
cavities: 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 tolerance for the $mathrm{HG}_{3,3}$ mode is
reduced to a factor of 0.28 relative to the currently-used $mathrm{HG}_{0,0}$
mode. This is a potential hurdle to using higher-order modes to reduce thermal
noise 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 when, for example, coupling into optical
cavities: 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 tolerance for the $mathrm{HG}_{3,3}$ mode is
reduced to a factor of 0.28 relative to the currently-used $mathrm{HG}_{0,0}$
mode. This is a potential hurdle to using higher-order modes to reduce thermal
noise in future gravitational-wave detectors.
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