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Note 15 - Subsequent Event (Details Textual) - USD ($) $ in Thousands | 1 Months Ended |  |
--- | --- | --- | ---
Jan. 31, 2023 | Oct. 31, 2022 | Oct. 31, 2021
Employee Retention Tax Credit Receivable |  | $ 1,636 | $ 1,774
Other Current Assets [Member] |  |  |
Employee Retention Tax Credit Receivable |  | $ 1,600 |
Scenario, Adjustment [Member] |  |  |
Proceeds from Employee Retention Credit | $ 1,200 |  |

X
- Definition The portion of other current assets attributable to the receivable pursuant to the refundable payroll tax credit provided under the Coronavirus Aid, Relief, and Economic Security (CARES) Act. + References No definition available. + Details
Name: | rfil_EmployeeRetentionTaxCreditReceivable
Namespace Prefix: | rfil_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Amount of proceeds from employee retention credit. + References No definition available. + Details
Name: | rfil_ProceedsFromEmployeeRetentionCredit
Namespace Prefix: | rfil_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Details
Name: | us-gaap_BalanceSheetLocationAxis=us-gaap_OtherCurrentAssetsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | srt_StatementScenarioAxis=us-gaap_ScenarioAdjustmentMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |