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

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