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CASH AND EQUIVALENTS AND MARKETABLE SECURITIES (Details) (USD $)
Mar. 28, 2015
Dec. 27, 2014
Schedule of Available-for-sale Securities [Line Items]    
Available-for-sale Debt Securities, Amortized Cost Basis $ 74,662,390us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis $ 76,462,737us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
Unrealized Gains 73,752us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax 0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
Unrealized Losses (50,882)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax (239,602)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
Fair Value 74,685,260us-gaap_AvailableForSaleSecuritiesDebtSecurities 76,223,135us-gaap_AvailableForSaleSecuritiesDebtSecurities
Available-for-sale Securities, Debt Maturities, Fair Value, Fiscal Year Maturity [Abstract]    
Less than one year 26,891,428us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue  
One to five years 39,193,508us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue  
Greater than five years 8,600,324kopn_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsFairValue  
Available-for-sale Securities 74,685,260us-gaap_AvailableForSaleSecurities  
U.S. government and agency backed securities    
Schedule of Available-for-sale Securities [Line Items]    
Available-for-sale Debt Securities, Amortized Cost Basis 55,667,125us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
57,897,914us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Unrealized Gains 73,752us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Unrealized Losses 0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
(200,772)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Fair Value 55,740,877us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
57,697,142us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Available-for-sale Securities, Debt Maturities, Fair Value, Fiscal Year Maturity [Abstract]    
Less than one year 11,150,469us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
 
One to five years 36,937,584us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
 
Greater than five years 7,652,824kopn_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsFairValue
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
 
Available-for-sale Securities 55,740,877us-gaap_AvailableForSaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
 
Corporate debt and certificates of deposit    
Schedule of Available-for-sale Securities [Line Items]    
Available-for-sale Debt Securities, Amortized Cost Basis 18,995,265us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
18,564,823us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
Unrealized Gains 0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
Unrealized Losses (50,882)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
(38,830)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
Fair Value 18,944,383us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
18,525,993us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
Available-for-sale Securities, Debt Maturities, Fair Value, Fiscal Year Maturity [Abstract]    
Less than one year 15,740,959us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
 
One to five years 2,255,924us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
 
Greater than five years 947,500kopn_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsFairValue
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
 
Available-for-sale Securities $ 18,944,383us-gaap_AvailableForSaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember