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Income Taxes (Details Textual) (USD $)
12 Months Ended 3 Months Ended
Jan. 03, 2015
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Dec. 31, 2011
Income Taxes [Line Items]          
Release of deferred tax assets valuation allowance $ (9,200,000)us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount        
Accrued interest and penalties 0us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued 0us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued      
Ending balance of unrecognized tax benefits 861,000us-gaap_UnrecognizedTaxBenefits 861,000us-gaap_UnrecognizedTaxBenefits 1,027,000us-gaap_UnrecognizedTaxBenefits 954,000us-gaap_UnrecognizedTaxBenefits 1,191,000us-gaap_UnrecognizedTaxBenefits
Unrecognized tax benefits recognition impact on income tax rate 861,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate 861,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate      
Earliest Tax Year          
Income Taxes [Line Items]          
Open Tax Year 2009        
Latest Tax Year          
Income Taxes [Line Items]          
Open Tax Year 2014        
Federal          
Income Taxes [Line Items]          
Release of deferred tax assets valuation allowance   (9,200,000)us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
     
Net operating loss 12,500,000us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
12,500,000us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
     
Stock option deduction 2,000,000irix_OperatingLossCarryforwardsRelatedToWindfallStockOptionDeductions
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
2,000,000irix_OperatingLossCarryforwardsRelatedToWindfallStockOptionDeductions
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
     
Net operating loss expiration year 2032        
Research credit 1,300,000us-gaap_TaxCreditCarryforwardAmount
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
1,300,000us-gaap_TaxCreditCarryforwardAmount
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
     
Tax credit carryforward expiration year 2026        
State          
Income Taxes [Line Items]          
Net operating loss 14,500,000us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
14,500,000us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
     
Stock option deduction 2,100,000irix_OperatingLossCarryforwardsRelatedToWindfallStockOptionDeductions
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
2,100,000irix_OperatingLossCarryforwardsRelatedToWindfallStockOptionDeductions
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
     
Net operating loss expiration year 2020        
Research credit $ 1,900,000us-gaap_TaxCreditCarryforwardAmount
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
$ 1,900,000us-gaap_TaxCreditCarryforwardAmount
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember