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The ubiquitousness of solar inter-network horizontal magnetic field has beenrevealed by the space-borne observations with high spatial resolution andpolarization sensitivity. However, no consensus has been achieved on the originof the horizontal field among solar physicists. For a better understanding, inthis study we analyze the cyclic variation of inter-network horizontal field byusing the spectro-polarimeter observations provided by Solar Optical Telescopeon board Hinode, covering the interval from 2008 April to 2015 February. Themethod of wavelength integration is adopted to achieve a high signal-to-noiseratio. It is found that from 2008 to 2015 the inter-network horizontal fielddoes not vary when solar activity increases, and the average flux density ofinter-network horizontal field is 87$\pm$1 G, In addition, the imbalancebetween horizontal and vertical field also keeps invariant within the scope ofdeviation, i.e., 8.7$\pm$0.5, from the solar minimum to maximum of solar cycle24. This result confirms that the inter-network horizontal field is independentof sunspot cycle. The revelation favors the idea that a local dynamo iscreating and maintaining the solar inter-network horizontal field.

Does the variation of solar inter-network horizontal field follow sunspot cycle?