EM to Optics 3 Wave Equation
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=5FoqXQUR6AE
In this video I continue with my tutorials on Electromagnetism to Optics which is pitched at university undergraduate level. I have intended for a long time to record videos which describe the transition made from classical electromagnetism to optics. In many respects these videos will cover 'wave' optics. I devote much time to discussing the complex exponential representation of waves, Maxwell's Equations, the wave equation etc. I would like to apologise for my hand writing - I have just bought a new tablet and am getting used to writing with it. I can assure you that it is better for later videos! • Specifically here, I derive the wave equation in its general form. • I hope it's of use!! Thank you for watching and I hope that this matches your requirements. Please feel free to provide feedback via comments and share with your friends. • See my website for more: www.universityphysicstutorials.com","styleRuns":[{"startIndex":0,"length":908,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":908,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"COcBELsvGAIiEwjst5jnm52KAxXpXHoFHRLeKcQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzVGb3FYUVVSNkFFGAYyJSIRIgs1Rm9xWFFVUjZBRTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"COcBELsvGAIiEwjst5jnm52KAxXpXHoFHRLeKcQ=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"COYBELovIhMI7LeY55udigMV6Vx6BR0S3inE"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"dg07qXSgYiU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/dg07qXSgYiU/hqdefault.jpg?sqp=-oaymwE8CKgBEF5IWvKriqkDLwgBFQAAAAAYASUAAMhCPQCAokN4AfABAfgB9giAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLDoXXiis170-eFqM1MsgejLmNUbHA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/dg07qXSgYiU/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4AfYIgALQBYoCDAgAEAEYZSBlKGUwDw== rs=AOn4CLAkwJDqmzcTsk1IC6hq_AorTOkaaw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"EM to Optics 4 : Harmonic Sinusoidal Waves door Alan Beary 2.977 weergaven 11 jaar geleden 16 minuten"}},"simpleText":"EM to Optics 4 : Harmonic Sinusoidal Waves"},"longBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"COABEKQwGAAiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"publishedTimeText":{"simpleText":"11 jaar geleden"},"viewCountText":{"simpleText":"2.977 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"16 minuten en 44 seconden"}},"simpleText":"16:44"},"navigationEndpoint":{"clickTrackingParams":"COABEKQwGAAiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWRIgdDHqNDLiq3kAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=dg07qXSgYiU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"dg07qXSgYiU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-4g5ednsz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=760d3ba974a06225 ip=217.12.208.238 mt=1733833648 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"COABEKQwGAAiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/X-4nXwo4U40csXFeA_88Ymj08LV159pUBwL1VrRcUGdHNc-h3gZlKzX-dD3I2H9Xrzj9tgsxHQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"COABEKQwGAAiEwjst5jnm52KAxXpXHoFHRLeKcRApcSBpZf1zoZ2","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"2,9 duizend weergaven"}},"simpleText":"2,9K weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"COQBEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COQBEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"dg07qXSgYiU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COQBEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["dg07qXSgYiU"],"params":"CAQ%3D"}},"videoIds":["dg07qXSgYiU"]}},{"clickTrackingParams":"COQBEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"COUBELlqIhMI7LeY55udigMV6Vx6BR0S3inE"}},"popupType":"TOAST"}}]}},"trackingParams":"COQBEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"COABEKQwGAAiEwjst5jnm52KAxXpXHoFHRLeKcQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtkZzA3cVhTZ1lpVQ%3D%3D","commands":[{"clickTrackingParams":"COABEKQwGAAiEwjst5jnm52KAxXpXHoFHRLeKcQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"COMBEI5iIhMI7LeY55udigMV6Vx6BR0S3inE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"COABEKQwGAAiEwjst5jnm52KAxXpXHoFHRLeKcQ=","hasSeparator":true}}],"trackingParams":"COABEKQwGAAiEwjst5jnm52KAxXpXHoFHRLeKcQ=","accessibility":{"accessibilityData":{"label":"Actiemenu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"16 minuten en 44 seconden"}},"simpleText":"16:44"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"COIBEPnnAxgBIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"dg07qXSgYiU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"COIBEPnnAxgBIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"dg07qXSgYiU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"COIBEPnnAxgBIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"COEBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COEBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"dg07qXSgYiU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COEBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["dg07qXSgYiU"],"params":"CAQ%3D"}},"videoIds":["dg07qXSgYiU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"COEBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"EM to Optics 4 : Harmonic Sinusoidal Waves - 16 minuten - Naar kanaal gaan - Alan Beary - 2,9K weergaven - 11 jaar geleden - video afspelen"}}}},{"compactVideoRenderer":{"videoId":"UXqUXYaRyGU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/UXqUXYaRyGU/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLAL1RN5nLARHFQ11kcmBrR6keSS3Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/UXqUXYaRyGU/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLD1kv_FzLRlKegQbQB9MFCihfHCbQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Deriving the Wave Equation door Steve Brunton 57.856 weergaven 2 jaar geleden 35 minuten"}},"simpleText":"Deriving the Wave Equation"},"longBylineText":{"runs":[{"text":"Steve Brunton","navigationEndpoint":{"clickTrackingParams":"CNoBEKQwGAEiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Eigensteve","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCm5mt-A4w61lknZ9lCsZtBw","canonicalBaseUrl":"/@Eigensteve"}}}]},"publishedTimeText":{"simpleText":"2 jaar geleden"},"viewCountText":{"simpleText":"57.856 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"35 minuten en 56 seconden"}},"simpleText":"35:56"},"navigationEndpoint":{"clickTrackingParams":"CNoBEKQwGAEiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWRIgdDHqNDLiq3kAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=UXqUXYaRyGU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"UXqUXYaRyGU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-4g5edndl.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=517a945d8691c865 ip=217.12.208.238 mt=1733833648 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Steve Brunton","navigationEndpoint":{"clickTrackingParams":"CNoBEKQwGAEiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Eigensteve","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCm5mt-A4w61lknZ9lCsZtBw","canonicalBaseUrl":"/@Eigensteve"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mx14E_G8xV2RfuwQ6pmFJq3gsbBjo_kcrRiBd7WAzCA_k=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CNoBEKQwGAEiEwjst5jnm52KAxXpXHoFHRLeKcRA5ZDHtNiLpb1R","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"57 duizend weergaven"}},"simpleText":"57K weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CN4BEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CN4BEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"UXqUXYaRyGU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CN4BEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["UXqUXYaRyGU"],"params":"CAQ%3D"}},"videoIds":["UXqUXYaRyGU"]}},{"clickTrackingParams":"CN4BEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CN8BELlqIhMI7LeY55udigMV6Vx6BR0S3inE"}},"popupType":"TOAST"}}]}},"trackingParams":"CN4BEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CNoBEKQwGAEiEwjst5jnm52KAxXpXHoFHRLeKcQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtVWHFVWFlhUnlHVQ%3D%3D","commands":[{"clickTrackingParams":"CNoBEKQwGAEiEwjst5jnm52KAxXpXHoFHRLeKcQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CN0BEI5iIhMI7LeY55udigMV6Vx6BR0S3inE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CNoBEKQwGAEiEwjst5jnm52KAxXpXHoFHRLeKcQ=","hasSeparator":true}}],"trackingParams":"CNoBEKQwGAEiEwjst5jnm52KAxXpXHoFHRLeKcQ=","accessibility":{"accessibilityData":{"label":"Actiemenu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"35 minuten en 56 seconden"}},"simpleText":"35:56"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CNwBEPnnAxgBIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"UXqUXYaRyGU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CNwBEPnnAxgBIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"UXqUXYaRyGU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CNwBEPnnAxgBIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CNsBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNsBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"UXqUXYaRyGU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNsBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["UXqUXYaRyGU"],"params":"CAQ%3D"}},"videoIds":["UXqUXYaRyGU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CNsBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Deriving the Wave Equation - 35 minuten - Naar kanaal gaan - Steve Brunton - 57K weergaven - 2 jaar geleden - video afspelen"}}}},{"compactVideoRenderer":{"videoId":"AKwJ5TRP_EE","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/AKwJ5TRP_EE/hqdefault.jpg?sqp=-oaymwE8CKgBEF5IWvKriqkDLwgBFQAAAAAYASUAAMhCPQCAokN4AfABAfgB_giAAtAFigIMCAAQARhlIEsoWDAP rs=AOn4CLB_UYpIE8CvIm_tBFwWsm_7TRtW0Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/AKwJ5TRP_EE/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4Af4IgALQBYoCDAgAEAEYZSBLKFgwDw== rs=AOn4CLATR0hiRpz6Qm6ibRJpjPZQo9OkfQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"EM to Optics 6 : Complex Exponential Representation of Waves door Alan Beary 21.739 weergaven 11 jaar geleden 7 minuten en 19 seconden"}},"simpleText":"EM to Optics 6 : Complex Exponential Representation of Waves"},"longBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"CNQBEKQwGAIiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"publishedTimeText":{"simpleText":"11 jaar geleden"},"viewCountText":{"simpleText":"21.739 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"7 minuten en 19 seconden"}},"simpleText":"7:19"},"navigationEndpoint":{"clickTrackingParams":"CNQBEKQwGAIiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWRIgdDHqNDLiq3kAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=AKwJ5TRP_EE","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"AKwJ5TRP_EE","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-4g5edndl.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=00ac09e5344ffc41 ip=217.12.208.238 mt=1733833648 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Alan Beary","navigationEndpoint":{"clickTrackingParams":"CNQBEKQwGAIiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@youspinmerightrounds","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2MJn6N5dgtva18adjXe4Ag","canonicalBaseUrl":"/@youspinmerightrounds"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/X-4nXwo4U40csXFeA_88Ymj08LV159pUBwL1VrRcUGdHNc-h3gZlKzX-dD3I2H9Xrzj9tgsxHQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CNQBEKQwGAIiEwjst5jnm52KAxXpXHoFHRLeKcRAwfi_otO8glY=","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"21 duizend weergaven"}},"simpleText":"21K weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNgBEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNgBEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"AKwJ5TRP_EE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNgBEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["AKwJ5TRP_EE"],"params":"CAQ%3D"}},"videoIds":["AKwJ5TRP_EE"]}},{"clickTrackingParams":"CNgBEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CNkBELlqIhMI7LeY55udigMV6Vx6BR0S3inE"}},"popupType":"TOAST"}}]}},"trackingParams":"CNgBEP6YBBgFIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CNQBEKQwGAIiEwjst5jnm52KAxXpXHoFHRLeKcQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtBS3dKNVRSUF9FRQ%3D%3D","commands":[{"clickTrackingParams":"CNQBEKQwGAIiEwjst5jnm52KAxXpXHoFHRLeKcQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNcBEI5iIhMI7LeY55udigMV6Vx6BR0S3inE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CNQBEKQwGAIiEwjst5jnm52KAxXpXHoFHRLeKcQ=","hasSeparator":true}}],"trackingParams":"CNQBEKQwGAIiEwjst5jnm52KAxXpXHoFHRLeKcQ=","accessibility":{"accessibilityData":{"label":"Actiemenu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"7 minuten en 19 seconden"}},"simpleText":"7:19"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CNYBEPnnAxgBIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"AKwJ5TRP_EE","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CNYBEPnnAxgBIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"AKwJ5TRP_EE"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CNYBEPnnAxgBIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CNUBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNUBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"AKwJ5TRP_EE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNUBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["AKwJ5TRP_EE"],"params":"CAQ%3D"}},"videoIds":["AKwJ5TRP_EE"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CNUBEMfsBBgCIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"EM to Optics 6 : Complex Exponential Representation of Waves - 7 minuten en 19 seconden - Naar kanaal gaan - Alan Beary - 21K weergaven - 11 jaar geleden - video afspelen"}}}},{"compactVideoRenderer":{"videoId":"dvNM2-gC130","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/dvNM2-gC130/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLDP24CqmcaYwZ-CNa1WAXkhw6Ypcg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/dvNM2-gC130/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLA8mVyn0fOTpazJZVM_ep63O5grMQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Faber lacht D66 uit, Bosma grijpt in door Maarten van Rossem - De Podcast 8.640 weergaven 15 uur geleden 10 minuten en 32 seconden"}},"simpleText":"Faber lacht D66 uit, Bosma grijpt in"},"longBylineText":{"runs":[{"text":"Maarten van Rossem - De Podcast","navigationEndpoint":{"clickTrackingParams":"CM4BEKQwGAMiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@maartenpodcast","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC-HiBittGslPfzkC22LcNGA","canonicalBaseUrl":"/@maartenpodcast"}}}]},"publishedTimeText":{"simpleText":"15 uur geleden"},"viewCountText":{"simpleText":"8.640 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"10 minuten en 32 seconden"}},"simpleText":"10:32"},"navigationEndpoint":{"clickTrackingParams":"CM4BEKQwGAMiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWRIgdDHqNDLiq3kAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=dvNM2-gC130","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"dvNM2-gC130","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-4g5edndk.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=76f34cdbe802d77d ip=217.12.208.238 mt=1733833648 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Maarten van Rossem - De Podcast","navigationEndpoint":{"clickTrackingParams":"CM4BEKQwGAMiEwjst5jnm52KAxXpXHoFHRLeKcQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@maartenpodcast","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC-HiBittGslPfzkC22LcNGA","canonicalBaseUrl":"/@maartenpodcast"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"Nieuw","trackingParams":"CM4BEKQwGAMiEwjst5jnm52KAxXpXHoFHRLeKcQ="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/TwqQy_hm87cnbjZzeTArwcpZrEejqVsamPJl_n3OUtHUnhGpM6j9NxK0rita-gOWZSryLjfV=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CM4BEKQwGAMiEwjst5jnm52KAxXpXHoFHRLeKcRA_a6LwL6b0_l2","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"8,6 duizend weergaven"}},"simpleText":"8,6K weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNIBEP6YBBgGIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNIBEP6YBBgGIhMI7LeY55udigMV6Vx6BR0S3inE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"dvNM2-gC130","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNIBEP6YBBgGIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["dvNM2-gC130"],"params":"CAQ%3D"}},"videoIds":["dvNM2-gC130"]}},{"clickTrackingParams":"CNIBEP6YBBgGIhMI7LeY55udigMV6Vx6BR0S3inE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CNMBELlqIhMI7LeY55udigMV6Vx6BR0S3inE"}},"popupType":"TOAST"}}]}},"trackingParams":"CNIBEP6YBBgGIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CM4BEKQwGAMiEwjst5jnm52KAxXpXHoFHRLeKcQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgtkdk5NMi1nQzEzMA%3D%3D","commands":[{"clickTrackingParams":"CM4BEKQwGAMiEwjst5jnm52KAxXpXHoFHRLeKcQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNEBEI5iIhMI7LeY55udigMV6Vx6BR0S3inE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CM4BEKQwGAMiEwjst5jnm52KAxXpXHoFHRLeKcQ=","hasSeparator":true}}],"trackingParams":"CM4BEKQwGAMiEwjst5jnm52KAxXpXHoFHRLeKcQ=","accessibility":{"accessibilityData":{"label":"Actiemenu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"10 minuten en 32 seconden"}},"simpleText":"10:32"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CNABEPnnAxgCIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"dvNM2-gC130","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CNABEPnnAxgCIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"dvNM2-gC130"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CNABEPnnAxgCIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CM8BEMfsBBgDIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CM8BEMfsBBgDIhMI7LeY55udigMV6Vx6BR0S3inE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"dvNM2-gC130","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CM8BEMfsBBgDIhMI7LeY55udigMV6Vx6BR0S3inE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["dvNM2-gC130"],"params":"CAQ%3D"}},"videoIds":["dvNM2-gC130"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CM8BEMfsBBgDIhMI7LeY55udigMV6Vx6BR0S3inE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Faber lacht D66 uit, Bosma grijpt in - 10 minuten en 32 seconden - Naar kanaal gaan - Maarten van Rossem - De Podcast - 8,6K weergaven - 15 uur geleden - video afspelen"}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/HJf4qbUpCLU/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBJf_8wCWPYfX7R6ggfPOROaQW4TA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/HJf4qbUpCLU/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLDl2k3iLIxg4UYW7efwmnYMBQRfyA","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"36 video's","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Alles afspelen","styleRuns":[{"startIndex":0,"length":14}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Electromagnetism to Optics"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Alan Beary
#############################