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Stock-based compensation and equity transactions - Additional Information (Detail) (USD $)	3 Months Ended			6 Months Ended
	Apr. 30, 2015	Jan. 31, 2015	Apr. 30, 2014	Apr. 30, 2015	Apr. 30, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Weighted average remaining life of options outstanding				4 years 8 months 12 days
Weighted average remaining contractual life of options exercisable				3 years 10 months 24 days
Weighted average life of options vested and expected to vest				4 years 8 months 12 days
Aggregate intrinsic value of options outstanding	$ 1,500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue			$ 1,500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue
Aggregate intrinsic value of options exercisable	1,500,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1			1,500,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1
Aggregate intrinsic value of options vested and expected to vest	1,500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue			1,500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue
Non-vested stock-based arrangements yet to be recognized	593,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized			593,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
Stock based arrangements yet to be recognized, weighted average period expected to be recognized				4 years 18 days
Stock Issued During Period, Value, Stock Options Exercised				1,060,000us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised
Non-employee director annual grant	30,000rfil_NonemployeeDirectorAnnualGrant			30,000rfil_NonemployeeDirectorAnnualGrant
Options granted for each non-employee director		44,748us-gaap_ShareBasedGoodsAndNonemployeeServicesTransactionQuantityOfSecuritiesIssued
Value of stock option issued		15,000rfil_ShareBasedGoodsAndNonEmployeeServicesTransactionValueOfStockOptionIssued
Fair value of stock option		$ 1.01us-gaap_SharePrice
Stock based compensation expense	51,000us-gaap_ShareBasedCompensation		224,000us-gaap_ShareBasedCompensation	101,000us-gaap_ShareBasedCompensation	271,000us-gaap_ShareBasedCompensation
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value				$ 1.00us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue	$ 1.99us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
Chief Operating Officer [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation arrangement by share-based payment award, options, grants in period, gross	8,733us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross / us-gaap_TitleOfIndividualAxis = us-gaap_ChiefOperatingOfficerMember
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value	$ 0.86us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_TitleOfIndividualAxis = us-gaap_ChiefOperatingOfficerMember
Share Based Compensation Arrangement By Share Based Payment Award Options Granted In Period Fair Value	7,500rfil_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantedInPeriodFairValue / us-gaap_TitleOfIndividualAxis = us-gaap_ChiefOperatingOfficerMember
Incentive stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation arrangement by share-based payment award, options, grants in period, gross	0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross / us-gaap_PlanNameAxis = rfil_IncentiveStockOptionsMember			127,558us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross / us-gaap_PlanNameAxis = rfil_IncentiveStockOptionsMember
Common Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Issuance of common stock for exercise of stock option				252,381us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_CommonStockMember
Cost of Sales
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock based compensation expense				29,000us-gaap_ShareBasedCompensation / us-gaap_IncomeStatementLocationAxis = us-gaap_CostOfSalesMember	30,000us-gaap_ShareBasedCompensation / us-gaap_IncomeStatementLocationAxis = us-gaap_CostOfSalesMember
Selling, General and Administrative Expenses
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock based compensation expense				$ 72,000us-gaap_ShareBasedCompensation / us-gaap_IncomeStatementLocationAxis = us-gaap_SellingGeneralAndAdministrativeExpensesMember	$ 241,000us-gaap_ShareBasedCompensation / us-gaap_IncomeStatementLocationAxis = us-gaap_SellingGeneralAndAdministrativeExpensesMember

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Unrecognized cost of unvested share-based compensation awards.

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Weighted average period over which unrecognized compensation is expected to be recognized for equity-based compensation plans, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Amount of difference between fair value of the underlying shares reserved for issuance and exercise price of vested portions of options outstanding and currently exercisable.

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Weighted average remaining contractual term for vested portions of options outstanding and currently exercisable or convertible, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Gross number of share options (or share units) granted during the period.

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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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Amount by which the current fair value of the underlying stock exceeds the exercise price of options outstanding.

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Weighted average remaining contractual term for option awards outstanding, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Weighted average remaining contractual term for fully vested and expected to vest options that are exercisable or convertible, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Amount by which the current fair value of the underlying stock exceeds the exercise price of fully vested and expected to vest options outstanding.

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The number of shares or units of entity securities issued in the transaction in which equity securities were issued to pay for goods or nonemployee services.

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