Intangible Assets and Goodwill - Narrative (Details) - USD ($)	6 Months Ended
	Mar. 31, 2023	Sep. 30, 2022
S and N and Emcore Chicago Acquisitions
Finite-Lived Intangible Assets [Line Items]
Expected tax deductible amount of goodwill	$ 0
In Process Research and Development
Finite-Lived Intangible Assets [Line Items]
Intangible assets acquired	6,700,000	$ 6,700,000
Trademarks
Finite-Lived Intangible Assets [Line Items]
Intangible assets acquired	$ 2,200,000	$ 2,200,000
Patents
Finite-Lived Intangible Assets [Line Items]
Intangible assets useful life (in years)	7 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Intangible assets useful life (in years)	8 years
Technology | Minimum
Finite-Lived Intangible Assets [Line Items]
Intangible assets useful life (in years)	2 years
Technology | Maximum
Finite-Lived Intangible Assets [Line Items]
Intangible assets useful life (in years)	8 years