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Stock options - Additional Information (Detail) (USD $)
12 Months Ended 1 Months Ended 12 Months Ended
Oct. 31, 2014
Oct. 31, 2014
Oct. 31, 2013
Mar. 09, 2010
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Weighted average remaining life of options outstanding 5 years 2 months 5 days      
Weighted average remaining contractual life of options exercisable 4 years 3 months 18 days      
Weighted average life of options vested and expected to vest 5 years 2 months 8 days      
Aggregate intrinsic value of options outstanding $ 1,700,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue $ 1,700,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue    
Aggregate intrinsic value of options exercisable 1,800,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1 1,800,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1    
Aggregate intrinsic value of options vested and expected to vest 1,700,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue 1,700,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue    
Non-vested stock-based arrangements yet to be recognized 524,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized 524,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized    
Stock based arrangements yet to be recognized, weighted average period expected to be recognized 5 years 11 months 12 days      
Director        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Reimbursement revenue   30,000us-gaap_ReimbursementRevenue
/ us-gaap_TitleOfIndividualAxis
= us-gaap_DirectorMember
   
Share-based compensation arrangement by share-based payment award, options, grants in period, gross   7,860us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_TitleOfIndividualAxis
= us-gaap_DirectorMember
   
Share-based compensation arrangement by share-based payment award, equity instruments other than options, vested in period, fair value   $ 15,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue
/ us-gaap_TitleOfIndividualAxis
= us-gaap_DirectorMember
   
Share-based compensation arrangement by share-based payment award, equity instruments other than options, grants in period, intrinsic value, amount per share   $ 1.91us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodIntrinsicValue
/ us-gaap_TitleOfIndividualAxis
= us-gaap_DirectorMember
   
2000 Stock Option Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized       1,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= rfil_OptionPlanMember
Share-based Compensation Arrangement by Share-based Payment Award, Number of Additional Shares Authorized     1,320,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfAdditionalSharesAuthorized
/ us-gaap_PlanNameAxis
= rfil_OptionPlanMember
 
2010 Stock Incentive Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Available for Grant 580,842us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= rfil_StockIncentivePlanMember
580,842us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= rfil_StockIncentivePlanMember
   
Incentive and Non-Qualified Stock Option Plans        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Additional shares of common stock issued   500,000rfil_AdditionalSharesOfCommonStockIssued
/ us-gaap_PlanNameAxis
= rfil_IncentiveAndNonqualifiedStockOptionPlansMember
   
Additional shares of common stock issuance date   Sep. 05, 2014