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Financial Instruments (Marketable Debt Securities) (Details) (USD $)	Dec. 27, 2014	Dec. 28, 2013
Schedule of Available-for-sale Securities [Line Items]
Available-for-sale Debt Securities, Accumulated Gross Unrealized Loss, before Tax	$ (239,602)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax	$ (765,483)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
Amortized Cost	76,462,737us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis	96,738,018us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
Available-for-sale Debt Securities, Accumulated Gross Unrealized Gain, before Tax	0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax	0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
Available-for-sale Securities, Debt Securities	76,223,135us-gaap_AvailableForSaleSecuritiesDebtSecurities	95,972,535us-gaap_AvailableForSaleSecuritiesDebtSecurities
Fair Value	76,223,135us-gaap_AvailableForSaleSecurities
Less than One year	30,502,703us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue
One to Five years	37,229,175us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue
Greater than Five years	8,491,257kopn_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsFairValue
U.S. government and agency backed securities
Schedule of Available-for-sale Securities [Line Items]
Available-for-sale Debt Securities, Accumulated Gross Unrealized Loss, before Tax	(200,772)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember	(686,113)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Amortized Cost	57,897,914us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember	68,970,505us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Available-for-sale Debt Securities, Accumulated Gross Unrealized Gain, before Tax	0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember	0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Available-for-sale Securities, Debt Securities	57,697,142us-gaap_AvailableForSaleSecuritiesDebtSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Fair Value	57,697,142us-gaap_AvailableForSaleSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember	68,284,392us-gaap_AvailableForSaleSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Less than One year	14,618,790us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember
One to Five years	35,548,345us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Greater than Five years	7,530,007kopn_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentAgenciesDebtSecuritiesMember
Corporate Debt Securities And Certificates Of Deposit [Member]
Schedule of Available-for-sale Securities [Line Items]
Available-for-sale Debt Securities, Accumulated Gross Unrealized Loss, before Tax	(38,830)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember	(79,370)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
Amortized Cost	18,564,823us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember	27,767,513us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
Available-for-sale Debt Securities, Accumulated Gross Unrealized Gain, before Tax	0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember	0us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
Available-for-sale Securities, Debt Securities	18,525,993us-gaap_AvailableForSaleSecuritiesDebtSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember	27,688,143us-gaap_AvailableForSaleSecuritiesDebtSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
Fair Value	18,525,993us-gaap_AvailableForSaleSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
Less than One year	15,883,913us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
One to Five years	1,680,830us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember
Greater than Five years	$ 961,250kopn_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = kopn_CorporateDebtSecuritiesAndCertificatesOfDepositMember

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Amount before tax of unrealized gain in accumulated other comprehensive income (AOCI) on investments in debt securities classified as available-for-sale.

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Amount before tax of unrealized loss in accumulated other comprehensive income (AOCI) on investments in debt securities classified as available-for-sale.

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Fair value of available-for-sale debt securities maturing in the second fiscal year through the fifth fiscal year following the latest fiscal year. Excludes interim and annual periods when interim periods are reported on a rolling approach, from latest balance sheet date.

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Fair value of available-for-sale debt securities maturing in the next fiscal year following the latest fiscal year. Excludes interim and annual periods when interim periods are reported on a rolling approach, from latest balance sheet date.

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